পরীক্ষা আর্কাইভ

৪৯তম বিসিএস ⎯ তথ্য ও যোগাযোগ প্রযুক্তি (EEE) [ ৮৯২]

পরীক্ষা৪৯তম বিসিএস ⎯ তথ্য ও যোগাযোগ প্রযুক্তি (EEE) [ ৮৯২]তারিখতারিখ অনির্ধারিতসময়30 minutes
মোট প্রশ্ন৫০
সিলেবাস
Exam 15 i) Microprocessor and Interfacing, ii) Control Systems. [Source: Classes 13 and relevant books]
ঘনত্ব
উত্তর
উত্তরিতবর্তমানপুনরায় দেখুনঅসম্পূর্ণ

৪৯তম বিসিএস ⎯ তথ্য ও যোগাযোগ প্রযুক্তি (EEE) [ ৮৯২]

৪৯তম বিসিএস ⎯ তথ্য ও যোগাযোগ প্রযুক্তি (EEE) [ ৮৯২] · তারিখ অনির্ধারিত · ৫০ প্রশ্ন

.
A control system in which the control action is somehow dependent on the output is known as
  1. Closed loop system
  2. Semiclosed loop system
  3. Open system
  4. None of them
ব্যাখ্যা

A control system is essentially a mechanism that manages, commands, directs, or regulates the behavior of other systems or devices. The classification of control systems is generally based on how the control action is related to the output. In this context, the statement “a control system in which the control action is somehow dependent on the output” refers to a closed loop system.

In a closed loop system, the output of the system is continuously monitored and compared with the desired input or reference signal. The difference between the desired output and the actual output, known as the error signal, is used to adjust the control action. This feedback mechanism ensures that the system can automatically correct any deviations, disturbances, or errors. For example, an air conditioning system with a thermostat is a closed loop system. The thermostat constantly measures the room temperature (output) and compares it with the set temperature (desired input). If the temperature deviates, the system either increases or decreases cooling to maintain the target condition.

On the other hand, in an open loop system, the control action is independent of the output. There is no feedback to check if the desired result has been achieved. For instance, a simple electric iron without a thermostat heats continuously once switched on, regardless of the temperature level. Similarly, a washing machine that runs for a fixed time is an open loop system because it does not monitor the cleanliness of the clothes (output).

The term semiclosed loop system is not commonly used in standard control theory, but in some contexts, it may refer to systems that use partial feedback or a combination of open and closed loop features.

Thus, the correct answer is Closed loop system, because here the control action depends directly on the output, making the system self-regulating, more accurate, and reliable compared to an open loop system.

.
Which of the following statements is correct for any closed loop system?
  1. Only one of the static error co-efficient has a finite non-zero value
  2. All the co-efficient can have zero value
  3. All the co-efficient are always non-zero
  4. Only one of the static error co-efficient has a infinite  value
ব্যাখ্যা

minimize the error between the desired output and the actual output when the input is a constant (such as a step input).

There are different types of static error coefficients:

Position Error Coefficient (Kp): This relates to the system's ability to track a step input.
Velocity Error Coefficient (Kv): This relates to the system's ability to track a ramp input.
Acceleration Error Coefficient (Ka): This relates to the system's ability to track a parabolic input.
These coefficients depend on the type of the system and the nature of the feedback. For example:

In a type 0 system (which has no integrators in the forward path), the position error coefficient (Kp) is finite and non-zero, but the velocity error coefficient (Kv) and acceleration error coefficient (Ka) are zero.
In a type 1 system (which has one integrator), the position error coefficient (Kp) becomes infinite, while the velocity error coefficient (Kv) is finite and non-zero, and the acceleration error coefficient (Ka) is zero.
In a type 2 system (which has two integrators), all error coefficients can be finite, but the specific values depend on the input type.
Thus, only one of the static error coefficients has a finite non-zero value for a closed loop system, and this value depends on the system's type and input conditions. This makes statement (ক) the correct one.

.
What should be the nature of bandwidth for a good control system?
  1. Small
  2. Medium
  3. Large
  4. All of the mentioned
ব্যাখ্যা

In control systems, bandwidth refers to the range of frequencies over which the system can effectively operate and respond to input signals. A good control system should have a large bandwidth for several reasons:

Faster Response: A system with a large bandwidth can track higher-frequency signals and changes in the input more quickly. This leads to a faster system response to variations in the input.
Accuracy: A wider bandwidth allows the system to maintain accurate performance over a broader range of frequencies, ensuring that the output remains close to the desired input across varying conditions.
Reduced Error: A system with a large bandwidth can minimize errors caused by high-frequency disturbances, leading to better overall control performance.
Improved Stability: In many cases, a larger bandwidth can help improve the system's robustness and stability, particularly in the presence of noise and disturbances.
However, there is a trade-off, as increasing bandwidth too much can also lead to increased sensitivity to noise and potentially cause instability in some systems. But, generally speaking, a large bandwidth is desirable for achieving high performance and responsiveness in a control system.

.
A car is running at a constant speed of 50 km/h, which of the following is the feedback element for the driver?
  1. Clutch
  2. Eyes
  3. Needle of the speedometer
  4. None of Them
ব্যাখ্যা

In the context of a control system, feedback refers to the information that is used to adjust or control the system's behavior. In the case of a car running at a constant speed, the feedback element is what the driver uses to monitor and adjust the speed.

The clutch is a control element, but it does not directly provide feedback about the car's current speed. It is used for engaging or disengaging the engine from the wheels, such as when shifting gears.
Eyes are indeed important for the driver to observe the road, but they do not directly give feedback about the speed of the car.
The needle of the speedometer is the feedback element because it displays the current speed of the car, allowing the driver to adjust their control (e.g., by pressing the accelerator or brake) to maintain the desired speed.
Therefore, the needle of the speedometer serves as the feedback element for the driver, providing the necessary information about the speed to maintain the desired constant speed.

.
The initial response when the output is not equal to input is called
  1. Transient response
  2. Error response
  3. Dynamic response
  4. None
ব্যাখ্যা

In control systems, when there is a discrepancy between the output and the input, the initial response of the system is called the transient response.

Transient Response refers to the temporary behavior of the system immediately after a change in the input (such as a step or impulse) until the system settles into its steady-state. During this phase, the output fluctuates as it adjusts to the new input, and the system is not yet in equilibrium.
Error Response typically refers to the difference between the desired output and the actual output. This could be part of the transient response, but it is more focused on the "error" in achieving the desired output.
Dynamic Response is a more general term that encompasses both the transient response and the steady-state response, describing the overall behavior of the system over time. However, the initial response specifically refers to the transient response.
Thus, the initial response when the output is not equal to the input is best described as the transient response.

.
An automatic toaster is a ....................... loop control system.
  1. open
  2. closed
  3. partially closed
  4. partially open
ব্যাখ্যা

An automatic toaster is an open-loop control system because it operates based on a preset time or temperature without any feedback mechanism. Here's why:

In an open-loop control system, the output is not measured or fed back to the system for adjustment. The system works based on a fixed input (like time or temperature) and does not monitor whether the toast is actually done. Once the toaster reaches the set time, it automatically pops up the toast, regardless of the actual state of the toast.
In a closed-loop control system, feedback is used to adjust the system's behavior. For instance, a toaster with a sensor that detects the toast's color or crispness and adjusts the toasting time accordingly would be a closed-loop system. However, most standard automatic toasters operate without such feedback, making them open-loop systems.

.
Zero initial condition for a system means
  1. input reference signal is zero
  2. zero stored energy
  3. system is at rest and no energy is stored in any of its components
  4. input reference signal is maximum
ব্যাখ্যা

Zero initial condition refers to the state of the system at the beginning of observation or analysis. It means that at time t = 0, all the states of the system are set to zero, and there is no stored energy or motion in the system.

(ক) Input reference signal is zero is not correct, because zero initial condition pertains to the system's state, not the input signal. The input signal could still be non-zero, but the system itself starts from rest.
(খ) Zero stored energy is partially correct, but it does not fully capture the meaning of zero initial condition. The key idea is that the system is at rest and has no stored energy, but the term "rest" better defines the zero initial condition in system analysis.
(গ) System is at rest and no energy is stored in any of its components is the most accurate description. This means that all the system's components (like capacitors, inductors, or masses) have no initial energy stored, and the system starts from a neutral state (no motion, no charge, no flux, etc.).
Thus, the correct explanation of zero initial condition is (গ).

.
Transfer function of a system is used to calculate which of the following?
  1. The order of the system
  2. The time constant
  3. The output for any given input
  4. None of them
ব্যাখ্যা

The transfer function of a system is a mathematical representation that describes the relationship between the input and output of a linear time-invariant (LTI) system in the Laplace domain. It is typically expressed as the ratio of the Laplace transform of the output to the Laplace transform of the input, assuming zero initial conditions.

(ক) The order of the system: The order of a system is related to the highest power of the Laplace variable (s) in the denominator of its transfer function. However, the transfer function itself doesn't directly provide the order; it just implies it through the number of poles in the system. So, while the order can be inferred from the transfer function, it is not directly calculated by it.
(খ) The time constant: The time constant is a parameter that relates to the speed of the system’s response, especially in first-order systems. It can be derived from the transfer function in some cases, but it is not directly the primary purpose of the transfer function. The transfer function allows you to calculate the system's behavior over time, but the time constant is a specific parameter derived from its form.
(গ) The output for any given input: This is the primary function of the transfer function. The transfer function allows us to calculate the output of the system for any given input, typically by multiplying the transfer function with the Laplace transform of the input. This provides the system’s response in the Laplace domain, which can then be transformed back into the time domain if needed.

.
The transient response, with feedback system,
  1. rises slowly
  2. decays quickly
  3. decays slowly
  4. rises  quickly
ব্যাখ্যা

In a feedback system, the transient response refers to how the system behaves immediately after a change in the input until it reaches its steady state. The rise time in this context refers to how quickly the system reaches its final value after the input is applied.

For a closed-loop feedback system, the transient response is typically characterized by an initial change in output that gradually approaches the steady-state value. This change does not happen instantaneously, but rather rises slowly, particularly in the case of underdamped systems (which have a slower, oscillatory approach to the steady-state value).
Rises slowly is the correct description because, in many practical systems with feedback, the system needs time to stabilize after an input change. This gradual response is typical of systems designed to avoid overshoot or oscillations.
Other options:

Decays quickly: This would imply that the system's output falls off rapidly, which is not typically the case for most feedback systems.
Decays slowly: This could apply to systems with large damping, but "rises slowly" is a more general and correct characterization for many systems.
Rises quickly: While some systems can have a fast rise time, the question specifically refers to a feedback system, where the rise is often slower to avoid instability or overshoot.

১০.
In a control system the output of the controller is given to
  1. final control element
  2. amplifier
  3. comparator
  4. none
ব্যাখ্যা

In a control system, the output of the controller is given to the final control element. Here's the reasoning behind it:

Final control element: This is the actuator or device that directly affects the system to bring the output closer to the desired value. It receives the control signal from the controller and implements the required action. For example, in a temperature control system, the final control element might be a heating or cooling unit that adjusts the system's temperature based on the control signal.
Amplifier: An amplifier is used to increase the magnitude of a signal, but it doesn't directly affect the system's output in terms of control. It might be used within the controller to amplify the signal before passing it to the final control element, but it is not where the controller’s output is ultimately directed.
Comparator: The comparator is used to compare the system's output with the reference or desired value (setpoint) to generate the error signal. It does not receive the controller's output; instead, it is involved in generating the error signal that is used by the controller.

১১.
What is the relation between output response and input signal in closed loop system?
  1. Nonlinear
  2. Linear
  3. Exponential
  4. Parabolic
ব্যাখ্যা

In a closed-loop system, the relationship between the output response and the input signal is typically linear under normal operating conditions, especially for well-designed systems. Here's why:

Linear: A closed-loop system typically aims to produce a linear relationship between the input and output, meaning that if the input is doubled, the output will also roughly double (assuming no nonlinearities are present). This is common in systems with negative feedback, which help maintain stability and linearity in the system’s response. For example, in a proportional controller, the output is directly proportional to the input, hence exhibiting linear behavior.

Nonlinear:
Some systems might exhibit nonlinearities due to factors such as saturation, hysteresis, or friction, but in most ideal control systems, the relationship is designed to be linear.

Exponential:
An exponential relationship is often seen in transient responses (e.g., the behavior of a system when transitioning from one state to another), but it does not describe the general relationship between the output and the
input in a closed-loop system.

Parabolic:
A parabolic relationship is often associated with certain types of motion or responses in specific cases (e.g., projectile motion), but it is not the typical relationship between output and input in a closed-loop control system.

১২.
A particular control system yielded a steady state error of 0.20 for unit step input. A unit integrator is cascaded to this system and unit ramp input is applied to this modified system. What is the value of steady-state error for this modified system?
  1. 0.15
  2. 0.20
  3. 0.25
  4. 0.30
ব্যাখ্যা

1. Analyze the Original System
Given: The steady-state error (e_ss) for a unit step input is 0.20.

The steady-state error for a unit step input is given by the formula:
e_ss = 1 / (1 + Kp)
where Kp is the position error constant.

Substituting e_ss = 0.20:
0.20 = 1 / (1 + Kp)
Rearranging to solve for Kp:
1 + Kp = 1 / 0.20 = 5
Kp = 5 - 1 = 4

The position error constant for the original system is Kp = 4.

This tells us that the original system is a Type 0 system (since the position error constant is finite).

2. Analyze the Modified System
A unit integrator is cascaded to the original system, increasing the system's type by 1. Therefore, the original Type 0 system becomes a Type 1 system.

The open-loop transfer function of the modified system is:
G'(s)H'(s) = G(s)H(s) * (1/s)

3. Calculate the Steady-State Error for Unit Ramp Input
The input to the modified system is now a unit ramp input, which has a Laplace transform of:
R(s) = 1 / s^2

The steady-state error for a unit ramp input to a Type 1 system is given by the formula:
e_ss,modified = 1 / (1 + K_v')
where K_v' is the velocity error constant for the modified system.

To find K_v', we use the formula:
K_v' = lim (s -> 0) s * G'(s)H'(s)
Substitute G'(s)H'(s) = G(s)H(s) * (1/s):
K_v' = lim (s -> 0) s * (G(s)H(s) * 1/s) = lim (s -> 0) G(s)H(s)
From Step 1, we know that lim (s -> 0) G(s)H(s) = Kp = 4.

Thus, the velocity error constant for the modified system is K_v' = 4.

Now, calculate the steady-state error for the modified system:
e_ss,modified = 1 / (1 + K_v') = 1 / (1 + 4) = 1 / 5 = 0.25

১৩.
The temperature, under thermal and electrical system analogy, is considered analogous to .....................
  1. voltage
  2. current
  3. capacitance
  4. inductance
ব্যাখ্যা

In the analogy between thermal systems and electrical systems, several physical quantities can be compared, similar to how certain concepts in one system match those in the other.

1. Temperature is analogous to voltage: In a thermal system, temperature represents the "driving potential" that causes the flow of heat (similar to voltage in an electrical system).
In an electrical system, voltage is the potential difference that drives the flow of electric charge (current). Just like temperature drives heat flow, voltage drives current.
2. Current in the analogy: In the thermal system, the flow of heat is analogous to the current in the electrical system. It represents the flow of energy, whether it's heat or charge.
3. Capacitance: Capacitance is related to the amount of energy stored, both in electrical circuits (in capacitors) and in thermal systems (in terms of thermal capacity). However, temperature is not analogous to capacitance.

১৪.
Signal will become zero when the feedback signal and reference signs are equal.
  1. Input
  2. Actuating
  3. Feedback
  4. Reverse feedback
ব্যাখ্যা

In a feedback control system, the signal that will become zero when the feedback signal and the reference signal (desired input) are equal is the actuating signal. Here's why:

Reference Signal: This is the desired input or target value that the system tries to achieve.
Feedback Signal: This is the signal that represents the actual output of the system, which is fed back to the controller.
Actuating Signal: The actuating signal is what drives the system's output to match the reference signal. It is determined by the controller based on the error signal, which is the difference between the reference and feedback signals.
When the feedback signal equals the reference signal, the error signal becomes zero. As a result, the actuating signal (which is based on the error) will also become zero. This means no further adjustment is needed, and the system has achieved the desired state.

Thus, the correct answer is (খ) Actuating.

১৫.
From which of the following transfer function can.be obtained?
  1. Signal flow graph
  2. Analogous table
  3. Output-input ratio
  4. None of above
ব্যাখ্যা

Signal flow graph: A signal flow graph is a graphical representation of a set of linear algebraic equations (such as those representing the system's behavior). From a signal flow graph, you can directly derive the system’s transfer function using various methods, such as Mason's rule. Signal flow graphs provide a clear way to model and analyze the system dynamics, making it possible to obtain the transfer function from the graph.

১৬.
Stability of a system implies that:
  1. Small changes in the system input does not result in large change in system output
  2. Small changes in the system parameters does not result in large change in system output  
  3. Small changes in the initial conditions does not result in large change in system output
  4. All of the above
ব্যাখ্যা

Stability of a system refers to its ability to maintain control and not exhibit unbounded or undesirable behavior in response to changes in various conditions. Here's why each option applies:

 Small changes in the system input do not result in large changes in system output: This is a basic principle of stability, particularly for stable systems. A stable system should respond in a controlled manner to small input changes, without causing large or uncontrolled variations in output.
 Small changes in the system parameters do not result in large changes in system output, and small changes in the initial conditions do not result in large changes in system output: Stability also refers to the system's sensitivity to its parameters and initial conditions. If a system is stable, small changes in system parameters (like resistance, capacitance, etc.) or initial conditions (like initial position or velocity) should not cause a large deviation in the system's output. This is critical for practical systems, as stability ensures reliable operation despite uncertainties or small disturbances.

১৭.
Roots with higher multiplicity on the imaginary axis makes the system:
  1. Absolutely stable
  2. Unstable
  3. Linear
  4. Nonlinear
ব্যাখ্যা

In control systems and systems analysis, the roots of the characteristic equation (also known as the poles of the system) play a critical role in determining the system's stability.

If a system has roots with higher multiplicity on the imaginary axis, it means that the poles of the system are located on the imaginary axis of the s-plane. The higher the multiplicity, the more times the root is repeated.

Poles on the imaginary axis (at jωj\omegajω, where ω\omegaω is a nonzero real number) indicate that the system has oscillatory behavior. However, if these poles have higher multiplicity, the system will tend to oscillate more without any damping, leading to an unstable response.
Multiplicity refers to the number of times a particular root occurs. For example, if a root jωj\omegajω has multiplicity 2, the system will have two poles at jωj\omegajω, which can cause the system to oscillate indefinitely without decaying, thus becoming unstable.
Therefore, roots with higher multiplicity on the imaginary axis result in instability because the system will exhibit sustained or growing oscillations.

১৮.
The type 2 system has at the origin.
  1. no net pole
  2. two pole
  3. simple pole
  4. one pole
ব্যাখ্যা

In control systems, the type of a system is determined by the number of integrators (or poles at the origin) in its open-loop transfer function.

Type 0 system: No integrators (no poles at the origin).
Type 1 system: One integrator (one pole at the origin).
Type 2 system: Two integrators (two poles at the origin).
For a Type 2 system, the system has two poles at the origin, which means it has two integrators in its transfer function. This results in improved performance in terms of steady-state error, especially for higher-order inputs like ramps or parabolas.

১৯.
Routh Hurwitz criterion gives:
  1. Number of roots in the right half of the s-plane
  2. Value of the roots
  3. Number of roots in the left half of the s-plane
  4. None
ব্যাখ্যা

The Routh-Hurwitz criterion is a mathematical tool used in control theory to determine the stability of a system by analyzing its characteristic equation. Specifically, it helps to find how many roots of the characteristic equation lie in the right half of the s-plane (which corresponds to unstable poles) without actually calculating the roots themselves.

Routh-Hurwitz Criterion provides a systematic way to check the number of roots in the right half of the s-plane by constructing the Routh array. If there are any sign changes in the first column of the Routh array, it indicates that there are roots in the right half of the s-plane, meaning the system is unstable.
The criterion does not directly give the exact value of the roots (which would be provided by solving the characteristic equation), nor does it directly count the number of roots in the left half of the s-plane.
Thus, the correct interpretation of the Routh-Hurwitz criterion is that it helps in determining the number of roots in the right half of the s-plane, which directly relates to system stability.

২০.
Root locus of s(s + 2) + K(s + 4) =0 is a circle. What are the coordinates of the center of this circle?
  1. 0,-2
  2. -3,0
  3. -4,0
  4. 0.-4
ব্যাখ্যা

Determining the Root Locus Equation
The characteristic equation of the system is:

s(s+2) + K(s+4) = 0
This can be rewritten in the standard form 1 + K ⋅ G(s)H(s) = 0 by dividing by the terms that do not contain K:

1 + K
(s(s+2))
(s+4) = 0
Here, the open-loop transfer function is:

G(s)H(s) = (s(s+2)) / (s+4)

Poles: The roots of the denominator, s(s+2) = 0, are p1 = 0 and p2 = -2.

Zeros: The root of the numerator, s+4 = 0, is z1 = -4.

Since the number of poles (P = 2) and the number of zeros (Z = 1) are different (P ≠ Z), a part of the root locus must go to infinity along an asymptote.

Condition for a Circular Root Locus
The root locus is a circle only when the number of poles (P) is equal to the number of zeros (Z) plus one (P = Z + 1), and the distance between the poles and the zero is equal to the radius of the circle.

In this case, P = 2 and Z = 1, so P = Z + 1 is satisfied.

The general equation for the root locus of a system with one zero (z1) and two poles (p1, p2) is:

(s - p1)(s - p2) / (s - z1) = K

∠ (s - p1)(s - p2) / (s - z1) = (2m + 1) * 180°

The root locus is a circle when it satisfies the condition that the pole angle θp from the zero to the poles is equal to 90°:

∠(s - p1) - ∠(s - z1) + ∠(s - p2) - ∠(s - z1) = 180°
2∠(s - z1) - ∠(s - p1) - ∠(s - p2) = 180°

The resulting root locus is a circle with its center at the zero of the open-loop transfer function.

Finding the Center Coordinates
Zero of the system (z1):

z1 = -4
Coordinates of the zero:

(-4, 0)
Therefore, the center of the circular root locus is at (-4, 0).

২১.
The polar plot of a transfer function passes through the critical point (-1, 0). Gain margin is
  1. Zero
  2. -1dB
  3. 1dB
  4. -0.5 dB
ব্যাখ্যা

The gain margin is defined as the amount by which the system gain can be increased before the system becomes unstable. In terms of a polar plot, the gain margin is the distance from the critical point (-1, 0) to the plot, measured along the negative real axis.

When the polar plot passes through the critical point (-1, 0), the gain margin is zero, as the system is on the verge of instability. Therefore, the correct answer is:

২২.
A system has poles at 0.01 Hz, 1 Hz and 80Hz, zeroes at 5Hz, 100Hz and 200Hz. The approximate phase of 
the system response at 20 Hz is:
  1. -90°

  2. 90°
  3. -180°
ব্যাখ্যা

The approximate phase of the system response at 20 Hz is −90∘, which corresponds to option (i).

This is determined by applying the Bode plot phase approximation rules.

Phase Approximation Calculation

The total phase ϕ is the sum of the phase contributions from all zeros minus the sum of the phase contributions from all poles. For a frequency f=20 Hz, we compare f to each pole (pi​) and zero (zj​) frequency.

The approximation rules are:

If f≪fc​ (far below the corner frequency), the phase contribution is ≈0∘.
If f≫fc​ (far above the corner frequency), the phase contribution is ≈+90∘ for a zero and ≈−90∘ for a pole.
If f is near fc​ (within a decade), we use the best approximation available.



২৩.
The critical value of gain for a system is 40 and gain margin is 6dB. The system is operating at a gain of:
  1. 20
  2. 40
  3. 80
  4. 30
ব্যাখ্যা

The critical value of gain for a system is 40, and the gain margin is 6 dB. We are tasked with finding the operating gain.

The formula to relate the gain margin and critical gain is:

Gain Margin (dB) = 20 * log10(Critical Gain / Operating Gain)

Given:
- Critical Gain = 40
- Gain Margin = 6 dB

We can solve for the Operating Gain as follows:

6 = 20 * log10(40 / Operating Gain)

Dividing both sides by 20:

0.3 = log10(40 / Operating Gain)

Taking the antilog (base 10) of both sides:

10^0.3 = 40 / Operating Gain

1.995 = 40 / Operating Gain

Solving for Operating Gain:

Operating Gain = 40 / 1.995 ≈ 20.04

Thus, the system is operating at a gain of approximately 20.

Answer: The operating gain is 20.

২৪.
The open loop transfer function of a system is G(s) Hs) = K/(I + s)(1 + 2s)(l+ 3s) The phase cross over frequency coc is
  1. V2
  2. 1
  3. 0
  4. infinity
ব্যাখ্যা

To determine the phase crossover frequency (ωpc), we need to find the frequency at which the phase of the open-loop transfer function is -180°.
The phase crossover frequency corresponds to the point where the phase shift of the open-loop transfer function becomes -180°.

Given system:
G(s)H(s) = K / (1 + s)(1 + 2s)(1 + 3s)

The phase of each term in the transfer function is calculated separately:
- For (1 + s), the phase is: tan^(-1)(ω)
- For (1 + 2s), the phase is: tan^(-1)(2ω)
- For (1 + 3s), the phase is: tan^(-1)(3ω)

Thus, the total phase of the system is the sum of the phases of each factor:
Phase = arg(K / ((1 + jω)(1 + 2jω)(1 + 3jω)))

The phase of the transfer function will be:
Phase = - [tan^(-1)(ω) + tan^(-1)(2ω) + tan^(-1)(3ω)]

The phase crossover frequency occurs when the total phase is -180°:
tan^(-1)(ω) + tan^(-1)(2ω) + tan^(-1)(3ω) = 180°

After solving the above equation, the phase crossover frequency (ωpc) comes out to be:
ωpc = 1

Thus, the correct answer is:
(ii) 1

২৫.
If the gain of the open-loop system is doubled, the gain margin
  1. Is not affected
  2. Gets doubled
  3. Becomes half
  4. Becomes one-fourth
ব্যাখ্যা

The gain margin of a system is a measure of the system's stability, defined as the amount by which the system gain can be increased before the system reaches the verge of instability (i.e., when the phase of the open-loop transfer function is −180∘-180^\circ−180∘).

When the gain of the open-loop system is doubled, the gain margin is not affected. This is because the gain margin depends on the phase characteristics of the system and how the system crosses the critical point (i.e., -180° phase), not on the absolute gain value. Doubling the gain will affect the open-loop gain but not change the phase crossover point where the gain margin is defined.

২৬.
What is approximate data access time of SRAM?
  1. 2ns
  2. 10ns
  3. 60ns
  4. 4ns
ব্যাখ্যা

SRAM access data in approximately 4ns because of its flip-flop arrangement of transistors whereas the data access time in DRAM is approximately 60ns since it has a single capacitor for one-bit storage.

২৭.
Flag register of Z80 is also known as
  1. Program status register
  2. Program status address
  3. Program status word
  4. Program address register
ব্যাখ্যা

The Flag Register of the Z80 microprocessor is also known as the Program Status Word (PSW). It plays a crucial role in managing and indicating the state of various operations within the processor. The PSW consists of several individual bits, each representing different status flags that provide information about the outcome of the most recent arithmetic or logical operation. These flags are updated after each instruction execution, providing vital information for decision-making processes such as branching, conditional jumps, or error handling.

In the Z80 microprocessor, the PSW includes the following key flags:

Sign (S): This flag indicates if the result of the last operation was negative.
Zero (Z): This flag is set if the result of the operation was zero.
Half Carry (H): This flag is set if there was a carry from bit 3 to bit 4 in the last operation, primarily used in BCD (Binary Coded Decimal) arithmetic.
Carry (C): This flag is set if there was a carry out of the most significant bit during the last operation.
Parity (P): This flag indicates if the number of 1-bits in the result is even (parity) or odd (no parity).
Overflow (V): This flag is set if the result of an operation exceeded the size limit (for example, a signed overflow).
Auxiliary Carry (AC): This flag is useful for BCD operations, indicating carry from bit 3 during the operation.
The PSW thus plays a central role in controlling the flow of programs and handling various exceptions, making it a vital component in ensuring the correct execution of instructions and logical operations in the Z80 processor.

২৮.
How an alternate set of the register can be identified in Z80?
  1. ‘Suffix
  2. ‘Prefix
  3. ,suffix
  4. ,prefix
ব্যাখ্যা

In the Z80 microprocessor, an alternate set of registers can be identified using a ‘Suffix. The Z80 has two sets of registers—the primary register set (A, B, C, D, E, H, L) and the alternate register set (A', B', C', D', E', H', L').

To switch between these two sets of registers, the ‘Suffix is used, such as:

"LD A, A'": This instruction moves the contents of the alternate A register (A') into the primary A register.
"EX AF, AF'": This instruction exchanges the contents of the primary AF register pair with the alternate AF' register pair.
By appending a ' (apostrophe) to the register names (like A', B', C', etc.), the alternate set of registers is referred to, allowing the programmer to perform operations with two separate sets of registers without having to overwrite values in the primary set. This feature enhances the Z80's ability to handle complex tasks efficiently, like saving context during subroutine calls or interrupt handling, and switching between the two register sets in a seamless manner.

২৯.
What is the purpose of memory refresh register of Z80?
  1. To control on-chip DRAM
  2. To control on-chip SRAM
  3.  To control ROM
  4.  To clear cache
ব্যাখ্যা

In addition to the general purpose registers, a stack pointer, program counter, and two index registers are included in Z80. It was also used in many embedded designs because of its high-quality performance and for its in-built refresh circuitry for DRAMs.

৩০.
What is the clock frequency of Z80?
  1. 6 MHz
  2. 8 MHz
  3. 4 MHz
  4. 2 MHz
ব্যাখ্যা

The Z80 was designed to work with various clock frequencies depending on the specific implementation and the system requirements. However, 4 MHz is one of the most common clock speeds used for the Z80 in many systems. Some variants of the Z80 could operate at higher frequencies, such as 6 MHz or 8 MHz, but 4 MHz was often the standard for its early applications.

৩১.
Which is the first device by Intel, that started the microprocessor revolution?
  1.  8080
  2. 8086
  3. 8087
  4. 8088
ব্যাখ্যা

8086 was released in 1978 and 8088 was released in 1979. 8087 is a numeric coprocessor that was released in 1977. Furthermore, 8080 is a device designed by Intel in 1974.

৩২.
Which of the following is the area of memory that is used for temporary storage?
  1. Register
  2. Stack
  3. Accumulator
  4. Hard Disk
ব্যাখ্যা

The stack is a region of memory used for temporary storage, especially for storing return addresses, local variables, and function parameters in a program. It works on a Last In, First Out (LIFO) principle, meaning that the most recently stored data is the first to be retrieved. When a function is called, the return address and local variables are pushed onto the stack, and when the function returns, this data is popped off the stack.

While registers are used for fast, temporary storage during computation, they are not specifically designated for the storage of multiple data items, as the stack is. The accumulator is a specific register used for arithmetic and logic operations, and the hard disk is a long-term storage medium, not for temporary storage during program execution.

৩৩.
What is the range of values an 8-bit register can store?
  1. 128
  2. 64
  3. 256
  4. 32
ব্যাখ্যা

28 = 256. So, an 8-bit register can store 256 values (from 0 to 255).

৩৪.
Which are the 4 general purposes 16 bit register in Intel 80286?
  1. CS,DS,SS,ES
  2. AX,BX,CX,DX
  3. IP,FL,DI,SI
  4. DI,SI,BP,SP
ব্যাখ্যা

The Intel 80286 microprocessor has 4 general-purpose 16-bit registers, which are:

AX (Accumulator Register)
BX (Base Register)
CX (Count Register)
DX (Data Register)
These registers are used for a variety of operations, such as arithmetic, data manipulation, and address calculations. They are called general-purpose registers because they can be used for a wide range of tasks depending on the needs of the program.

The other options provided represent different types of registers:

CS, DS, SS, ES are segment registers.
IP, FL, DI, SI refer to instruction pointer, flags, destination index, and source index, respectively.
DI, SI, BP, SP are also general-purpose registers but are more specialized for addressing and stack operations.

৩৫.
What is the size of the address bus in 80286?
  1. 20
  2. 24
  3. 16
  4. 32
ব্যাখ্যা

The Intel 80286 microprocessor has a 24-bit address bus, and 20 bits in 8088 and 8086. This means it can address a total of 16 MB of memory (2^24 addresses). The 80286 is an important advancement over the 8086, as it supports protected mode, allowing it to access a larger memory space than its predecessor, which had a 20-bit address bus and could address only 1 MB of memory.

৩৬.
The register that stores all the interrupt requests in it in order to serve them one by one on a priority basis is
  1. Interrupt Request Register
  2.  In-Service Register
  3. Priority resolver
  4.  Interrupt Mask Register
ব্যাখ্যা

The Interrupt Request Register (IRR) is used to store all the interrupt requests in order to serve them one by one based on priority. It holds the status of incoming interrupts, and the interrupt controller uses this register to determine which interrupt to service next. The IRR is often used in conjunction with other registers, like the In-Service Register (ISR) and the Interrupt Mask Register (IMR), to manage the priority and masking of interrupts.

৩৭.
In a cascaded mode, the number of vectored interrupts provided by 8259A is
  1. 4
  2. 8
  3. 16
  4. 64
ব্যাখ্যা

In a cascaded mode, the 8259A Programmable Interrupt Controller (PIC) can support up to 16 vectored interrupts. This is achieved by cascading two 8259A PICs, with the master PIC handling 8 interrupt lines and the slave PIC handling another 8, giving a total of 16 interrupt lines. The vectored interrupts are used to identify the specific interrupt request and determine which interrupt service routine (ISR) should be executed.

৩৮.
What is the main purpose of using a procedure in Assembly Language?
  1. To define a constant value
  2. To store temporary data
  3. To perform a specific task in a program and return control to the calling program
  4. To define a sequence of data
ব্যাখ্যা

A procedure in Assembly Language is a block of code designed to perform a specific task. It allows the programmer to break the program into smaller, reusable blocks. Once the procedure is executed, control is returned to the point where the procedure was called.

৩৯.
Which of the following allows for modular programming by defining reusable code in Assembly Language?
  1. Registers
  2. Procedures
  3. Directives
  4. Opcodes
ব্যাখ্যা

In modular programming, procedures are used to define reusable blocks of code. This allows programmers to write smaller, more manageable code, reducing complexity and making it easier to maintain. Procedures can be called from various parts of the program whenever that specific task needs to be performed.

৪০.
Which of the following I/O functions is commonly used to display data on the screen in Assembly Language?
  1. IN
  2. OUT
  3. MOV
  4. PRINT
ব্যাখ্যা

In Assembly Language programming, the OUT instruction is typically used to output data to an I/O device such as the screen or a printer. The IN instruction, on the other hand, is used to read data from an I/O device.

৪১.
Which of the following is the correct syntax for defining a macro in Assembly Language?
  1. DEFINE MACRO
  2. MACRO START
  3. MACRO
  4. MACRO
ব্যাখ্যা

In Assembly Language, a macro is defined using the syntax MACRO, where is the name of the macro. The instructions that make up the macro follow this declaration, and the macro is invoked using its name later in the program.

৪২.
What is the correct sequence of events during a Memory Read Cycle in a microprocessor?
  1. Address sent, data written to memory, data read.
  2. Data read, address sent, data written to memory.
  3. Address sent, data read, data written to memory.
  4. Address sent, control signal activated, data read.
ব্যাখ্যা

During a Memory Read Cycle, the microprocessor first sends the address to the memory location. Then, the appropriate control signals are activated to specify that the operation is a read. Finally, the data is read from the specified memory location and sent to the processor.

৪৩.
Which of the following is the primary characteristic of EPROM (Erasable Programmable Read-Only Memory)?
  1. It can be written once and read multiple times.
  2. It can be erased and reprogrammed using ultraviolet light.
  3. It is used for temporary data storage.
  4. It is a volatile memory.
ব্যাখ্যা

EPROM (Erasable Programmable Read-Only Memory) is a type of non-volatile memory that can be erased by exposing it to ultraviolet (UV) light. After erasure, it can be reprogrammed with new data. This feature allows it to be reused multiple times, unlike regular ROM.

৪৪.
What does the Memory Write Cycle in a microprocessor involve?
  1. The microprocessor sends the address, data is written, and control signals are deactivated.
  2. The microprocessor sends the data, address is written, and control signals are activated.
  3. The microprocessor sends the address, activates control signals, and writes the data.
  4. The microprocessor reads the data, then writes it back to memory.
ব্যাখ্যা

In a Memory Write Cycle, the microprocessor first sends the address of the memory location. Then, it activates the appropriate control signals (such as Write Enable), and finally, the data is written into the specified memory location.

৪৫.
The example of output device is
  1.  CRT display
  2. 7-segment display
  3. Printer
  4. All of the mentioned
ব্যাখ্যা

The output device transfers data from the microprocessor to the external devices.

৪৬.
The latch or IC 74LS373 acts as
  1. good input port
  2. bad input port
  3. good output port
  4. bad output port
ব্যাখ্যা

The 74LS373 is an octal latch with tri-state outputs. It is often used as a good output port in microprocessor-based systems. The latch stores data in its 8-bit registers and provides latched output when the enable signal is active. Its tri-state outputs allow for the bus to be shared with other devices, meaning it can drive data to the output when enabled or be placed in a high-impedance state (effectively disconnected) when disabled, making it a useful component for managing data output in a system.

So, it is considered a "good output port" because it can drive data to external components and also disconnect itself from the bus when not needed.

৪৭.
What is the role of the address bus during the Memory Read Cycle?
  1. To carry data to the memory
  2. To select the memory location from which data is to be read
  3. To write data into memory
  4. To transfer data from the memory to the microprocessor
ব্যাখ্যা

In a Memory Read Cycle, the address bus is responsible for selecting the specific memory location from which data is to be read. Once the address is sent, the memory responds by placing the corresponding data on the data bus for the microprocessor to read.

৪৮.
8085 microprocessors has and logic operations. individual flags during arithmetic
  1. 8
  2. 16
  3. 2
  4. 5
ব্যাখ্যা

৪৯.
Carry flag is not affected after the execution of
  1. ADD B
  2. SBB B
  3. INR B
  4. ORA B
ব্যাখ্যা

ADD: Add Register to Accumulator
Description: The content of the operand (register or memory) are added to the contents of the accumulator and the result is stored in the accumulator. If the operand is a memory location, that is indicated by the 16-bit address in the HL register.
Flags: All flags are modified to reflect the result of the addition.
INR: Increment Register Pair by 1
Description: The contents of the designated register/memory are incremented by 1 and the results are stored in the same place. If the operand is a memory location, it is specified by the contents of HL register pair.
Flags: S, Z, P, AC are modified to reflect the result of the operation. CY is not modified.
SBB: Subtract Source and Borrow from Accumulator
Description: The contents of the operand (register or memory) and the Borrow flag are subtracted from the contents of the accumulator and the results are placed in the accumulator. The contents of the operand are not altered; however, the previous Borrow flag is reset.
Flag: All flags are altered to reflect the result of the subtraction.
Important:
Different arithmetic instructions and the flags affected are mentioned below:

৫০.
Which of the following are temporary registers in 8085?
  1. H and L
  2. W and Z
  3. Flags
  4.  SP and PC
ব্যাখ্যা

Registers in 8085: Registers are a type of computer memory used to quickly accept, store, and transfer data and instructions that are being used immediately by the processor.

Types of registers:

1) General purpose registers:
The 8085 has six general-purpose registers to store 8-bit data; these are identified as- B, C, D, E, H, and L.
These can be combined as register pairs - BC, DE, and HL, to perform some 16-bit operation.
These registers are used to store or copy temporary data, by using instructions, during the execution of the program.

2) Specific purpose registers:

a) Accumulator:
The accumulator is an 8-bit register (can store 8-bit data) that is the part of the arithmetic and logical unit (ALU).
After performing arithmetical or logical operations, the result is stored in accumulator.
Accumulator is also defined as register A.
b) Flag registers:
These registers change their values as per the result of arithmetic operation.
The 5 flag registers are: Sign flag, Carry flag, Auxiliary flag, Parity flag, Zero flag.

3) Temporary registers:

W and Z are two 8-bit temporary registers of 8085 microprocessor, which is not accessible to the user.
They are exclusively used for the internal operation by the microprocessor.

4) Memory registers:

There are two 16-bit registers used to hold memory addresses: Stack pointer and Program counter.