All India Electrical Engineering (EE) Group

 

Choose the correct mirror image of the given figure (X) from amongst the four alternatives.

      (X)                 (1)          (2)         (3)         (4)

 

​ ​ ​

​ ​ ​  to 

The ratio C(s)/R(s) for the system shown in figure below is
  

If the nth term of AP is m and the nth term of the same AP is m, then (m + n)th term of AP is

What is the conservation status of the Greater One-Horned Rhinoceros, and what major threats does it face?

What is the primary challenge identified in the effort to decarbonize global shipping?

What recent discovery was made regarding a new butterfly species in India?

What is the significance of the Prime Minister Professorships program introduced by the Anusandhan National Research Foundation?

What recent trend has been observed regarding cases of untouchability in India?

What does India's strategic autonomy entail in the context of its foreign relations?

What is the key focus of the Skill India Mission launched in 2015?

What is the primary aim of the Rhino DNA Index System (RhODIS) implemented in India?

Which article of the Indian Constitution empowers citizens to preserve their distinct language, script, or culture?

What significant shift in U.S. foreign policy is highlighted during Donald Trump's presidency?

What impact does the RBI's recent rate cut aim to achieve?

A system has the following transfer function

The type and order of the system are respectively

A system has bandwidth as 4000 Hz with rise time 2.5 seconds. If the rise time decreased to 1.25 seconds then the bandwidth is ___________ Hz

For ufb system shown in fig. the transfer function is

If input is 30t² , then steady state error is

Consider a unity feedback system with forward transfer function given by

The steady-state error in the output of the system for a unit-step input is _________ (up to 2 decimal places).

The forward path transfer function of a ufb system is

If a unit ramp is applied, the minimum possiblesteady-state error is

For the system of fig. the total steady state error due to a unit step input and a unit step disturbance is

The transfer function for a single loop nonunity feedback control system is

The steady state error due to unit step input is

For the system shown in fig.the steady state error component due to unit step disturbance is 0.000012 and steady state error component due to unit ramp input is 0.003. The values of K₁ and K₂ are respectively

Given a unity feedback system with G (s) =K/ s (s+4). What is the value of K for a damping ratio of 0.5?

An underdamped second order system with negative damping will have the roots :

With negative feedback in a closed loop control system, the system sensitivity to parameter variation:

When the unit step response of a unity feedback control system having forward path transfer function G (s) =80/s(s+18)?

When the period of the observation is large, the type of the error will be:

A system has a single pole at origin. Its impulse response will be:

A third order system is approximated to an equivalent second order system. The rise time of this approximated lower order system will be:

The system with the open loop transfer function 1/s(1+s) is:

Consider the following pairs:

1. Mount Kailash - Trans Himalayas

2. Saramati Peak - Patkai Bum

3. Mount Everest - Lesser Himalayas

4. Nanga Parbat - Zanskar Range

How many pairs given above are correctly matched?

Three equal resistances connected in star take a line current of 10 A when fed from 400 V, 50 Hz source. If the load resistances are reconnected in delta, the line current would be

Consider the system shown in fig.

The controllability matrix is

The three impedances Z₁ = 20∠30⁰Ω, Z₂ = 40∠60⁰Ω, Z₃ = 10∠-90⁰Ω are delta-connected to a 400V, 3 – Ø system. Find the phase current I_B.

If the system is a three-wire system, the currents flowing towards the load in the three lines must add to ___ at any given instant.

A Darlington amplifier has a

The unit impulse response of a linear time invariant second order system is
g(t) = 10e^-8t sin 6t (t > C)
The natural frequency and the damping ratio of the system are respectively 

A second order system has a damping ratio ξ and undamped natural frequency of oscillation ω_n respectively. The settling time at 5% of tolerance band of the system is

The transient response of a system is mainly due to

Which of the following is not true regarding addition of a pole to the forward-path transfer function?

Consider the following statements related to second order control system with unit step input:
1. The right-half s-plane corresponds to negative damping.
2. Negative damping gives a response that doesn’t grows in magnitude without bound with time.
3. The imaginary axis corresponds to zero damping.
4. The maximum overshoot is often used to measure the relative stability of a control system.
5. Higher the damping in the system larger is the peak overshoot in the transient response of the system.
Which of the above statements is/are correct?

Assertion (A): The step-function input represents an instantaneous change in the reference input.
Reason (R): If the input is an angular position of a mechanical shaft, a step input represents the sudden rotation of the shaft.
(a) Both A and R are true and R is a correct explanation of A.
(b) Both A and R are true but R is not a correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.

Assertion (A): The "dominant pole" concept is used to control the dynamic performance of the system, whereas the “insignificant poles” are used for the purpose of. ensuring that the controller transfer function can be realized by physical components.
Reason (R): if the magnitude of the real part of a pole is atleast 5 to 10 times that of a dominant pole or a pair of complex dominant poles, the pole may be regarded as insignificant in so far as the transient response is concerned.

The integral of a ramp function becomes

The open loop transfer function of a unity-feedback control system with unit step input is given by:

The settling time of the system for 5% tolerance band is,

For type-2 system, the steady state error due to parabolic input is

A system is shown in figure below

What are the values of K and α respectively so that the system has a damping ratio of 0.7 ant an undamped natural frequency ω_n of 4 rad/sec ?

For the unity feedback control system shown below, by what factor the amplifier gain K should be multiplied so that the damping ratio is increased from 0.3 to 0.9?

If A and B are two matrices such that A +  B and AB are both defined, then A and B are

These questions are based on the following information. P, Q, R, S and T sit around a table. P sits two seats to the left of R and Q sits two seats to the right of R.

Q. If S is not sitting next to Q, who is sitting between Q and S?

Consider a causal second-order system with the transfer function with a unit-step  as an input. Let c(s) be the corresponding output. The time taken by the system output c(t) to reach 94% of its steady-state value  rounded off to two decimal places, is 

The second order approximation using dominant pole concept for the transfer function

Which one of the following equations gives the steady-state error for a unity feedback system excited by r(t) = 2 + 5t + 2t² ?

Match List - I (Transfer function of systems) with List - II (Nature of damping) and select the correct answer using the codes given below the lists:

Codes:

How does the revised SO₂ emission norm justify the exemption of several coal-based plants from mandatory retrofits?

What has been a significant challenge in implementing the Production-Linked Incentive (PLI) schemes in India?

Which category of thermal power plants must comply with the new SO₂ emission norms by the end of 2027?

What has been a major criticism regarding India's Gini index claims?

What major change was seen in India's Consumer Price Index (CPI) in June 2025?

What is the main objective of the ADEETIE scheme launched by the Union Ministry of Power?

Which economist argued that investment often drives profits rather than the other way around?

Which of the following is a significant health risk associated with Sulphur Dioxide (SO₂) emissions?

Assertion (A): With the increase in bandwidth of the system the response of the system becomes fast.
Reason (R): Damping ratio of the system decreases with the increase in bandwidth.

The peak overshoot of step-input response of an underdamped second-order system is an indication of

The closed-loop transfer function of a unity - feedback system is given by  The steady state error to a unit ramp input is:

For a control system, the Laplace transform of error signal e(t) is given by . The
steady state value of the error will be

Consider the unity feedback system shown below:​

The settling time of the resulting second order system for 2% tolerance band will be

The steady-state error coefficients for a system are K_p = ∞ , K_v = finite constant and K_a = 0. The type of the system is

Each of these questions given below contains three elements. These elements may or may not have some inter linkage. Each group of elements may fit into one of these diagrams at (A), (B), (C), (D) and/or (E). You have to indicate the group of elements which correctly fits into the diagrams.

Which of the following diagrams indicates the best relation between Examination, Questions and Practice ?

These questions are based on the following information. P, Q, R, S and T sit around a table. P sits two seats to the left of R and Q sits two seats to the right of R.

Q. If a new person U joins the group such that the initial conditions for the seating arrangement should be observed and also a new condition that U does not sit next to P, S or T be satisfied, then who will be the neighbours of P (one on either side)?

Ramu completes 30% of work in 7.5 days. Raju is 50% as efficient as Ramu, Venu is 50% as efficient as Raju. Now Raju and Venu joined with Ramu for the rest of the work then in how many days will take to complete the work?

What was the primary focus of India's strategic partnership with Nigeria?

Match List-I (Different values of damping ratio) with List-II (Values of resonant peaks) and select the correct answer using the codes given below the lists:
List-I               
A. ξ = 0    
B. ξ = 0,707  
C. ξ = 0.85  
D. ξ = 0.5
List-II
1. More than unity
2. Not defined
3. Unity
4. infinite
Codes:
    A B C D
(a) 1 3 2 4
(b) 4 1 2 3
(c) 4 3 2 1
(d) 1 2 3 4

Match List-I (Polar plot of systems) with List-ll (Transfer functions) and select the correct answer using the codes given below the lists:
List-I

List-II

Codes:
    A B C D
(a) 3 1 2 4
(b) 2 4 1 3
(c) 2 1 4 3
(d) 1 2 3 4

The open loop transfer function of a system is given as

The Bode plot of this system is represented as:

Bode plot consists of two separate plots, one of which consists of -

For the network shown in fig. The output is

i_R(t). The state space representation is

A state flow graph is shown in fig.

​ ​ ​

Q.The state and output equation for this system is

Consider the system shown in fig.

Q. The system is