1.
For the system in the given figure the characteristic
equation is
A.
B.
C. K(s + 1)(s + 3) = 0
D. s(s + 2) = 0
Answer: Option A
Explanation:
Transfer function = .
Hence characteristic equation is .
2. Mechanical impedance is the ratio of
A. rms force to rms velocity
B. rms force to rms displacement
C. rms velocity to rms displacement
D. none of the above
Answer: Option A
Explanation:
In force voltage analogy force is analogous to voltage and velocity to current. Just as ,
force/velocity = mechanical impedance.
3. For the system in the given figure. The transfer function C(s)/R(s) is
A. G1 + G2 + 1
B. G1 G2 + 1
C. G1 G2 + G2 + 1
D. G1 G2 + G1 + 1
Answer: Option C
Explanation:
Transfer function = (G1 + 1) G2 + 1 = G1 G2 + G2 + 1.
4. Whether a linear system is stable or unstable that it
A. is a property of the system only
B. depends on the input function only
C. both (a) and (b)
D. either (a) or (b)
Answer: Option A
Explanation:
Stability is a property of the system only.
5.
For the system of the given figure the transfer function =
A.
B.
C.
D.
Answer: Option B
Explanation:
, E0(s) = [I(s)][Z2(s)] or .
6. In the given figure shows pole-zero plot. If steady state gain is 2 the transfer function G(s) is
A.
B.
C.
D.
Answer: Option A
Explanation:
The zero at - 1 gives the term (s + 1) in the numerator.
The poles at (- 2 + j1) and (- 2 - j1) give (s2 + 4s + 5) term is the denominator. Gain is 2.
7. If a system is to follow arbitrary inputs accurately the bandwidth should be
A. large
B. small
C. very small
D. neither small nor large
Answer: Option A
Explanation:
Arbitrary inputs require large bandwidth
8. For the system of the given figure, the damping ratio of closed loop poles is
A. 1.5
B. 1
C. 0.5
D. 0.25
Answer: Option C
Explanation:
The standard form of characteristic equation is .
Therefore .
9. Assertion (A): Potentiometers can not be used as error detectors in position control systems.
Reason (R): The resolution of a potentiometer places an upper limit on its accuracy
A. Both A and R are correct and R is correct explanation of A
B. Both A and R are correct but R is not correct explanation of A
C. A is correct but R is wrong
D. R is correct but A is wrong
Answer: Option D
Explanation:
Potentiometers are used as error detectors.
10.
For a first order system having transfer function , the unit impulse response is
-t/T
A. e
B. T e-t/T
C.
D. T2 e-t/T
Answer: Option C
Explanation: