Consider the following statements: 1. Integral controller improves steady state response 2. By use of proportional controller, maximum peak overshoot decreases 3. Type and order of system reduces by one for derivative controller 4. Integral controller makes the system less stable in transient state due to oscillations Select the correct answer using the codes given below:

Assertion (A): All the systems which exhibit overshoot in transient response will also exhibit resonance peak in frequency response. Reason (R): Large resonance peak in frequency response corresponds to a large overshoot in transient response.

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true and R is not the correct explanation of A

C

A is true but R is false

D

A is false but R is true

Consider the following statements for a PI compensator for control system. 1. It is equivalent to adding a zero at origin 2. It reduces overshoot 3. It improves the steady state error of the system Which of the statements given above are correct?

A

1 and 3

B

1,2 and 3 only

C

2 and 3

D

1 only

Assertion (A): A derivative controller produces a control action for constant error only. Reason (R): The PD controller increases the damping and reduces the peak overshoot.

A

Both assertion and reason are true and R is correct explanation of A

B

Both A and R true but R is not correct explanation of A

C

A is true but R is false

D

A is False but R is true

The transfer function of a discrete time LTI system is given by
$$H\left( z \right) = {{2 - {3 \over 4}{z^{ - 1}}} \over {1 - {3 \over 4}{z^{ - 1}} + {1 \over 8}{z^{ - 2}}}}$$
Consider the following statements:
S₁ : The system is stable and causal for
$$ROC:\left| z \right| > {1 \over 2}$$
S₂ : The system is stable but not causal for
$$ROC:\left| z \right| S₃ : The system is neither stable nor causal for
$$ROC:{1 \over 4} Which one of the following statements is valid?

A

Both S1 and S2 are true

B

Both S2 and S3 true

C

Both S1 and S3 are true

D

S1, S2 and S3 are all true

Assertion (A): It is desirable that the transient response be sufficiently fast and sufficiently damped. Reason (R): Oscillations are not tolerated in the transient response.

A

Both A and R are true but R is not the correct explanation of A

B

Both A and R are true but R is correct explanation of A

C

A is true and R is false

D

A is false and R is true

Rise time, Peak time, maximum peak overshoot, settling time, and steady state error are mutually dependent.

A

True

B

False

Consider the following statements regarding a linear discrete-time system: H (z) = z2+1/(z+0.5)(z-0.5) 1. The system is stable 2. The initial value of h(0) of the impulse response is -4 3. The steady-state output is zero for a sinusoidal discrete time input of frequency equal to one-fourth the sampling frequency Which of these statements are correct?

A

1,2 and 3

B

1 and 2

C

1 and 3

D

2 and 3

Which of the following statements are correct for mating gears with involute profiles? (i) The pressure angle, from the start of the engagement to the end of the engagement, remains constant. (ii) The pressure angle is maximum at the beginning of the engagement, reduces to zero at pitch point, starts decreasing and again becomes maximum at the end of the engagement. (iii) The face and flank of the teeth are generated by a single curve and the normal to this curve at any point is tangent to the base circle of the gear. (iv) The centre distance for a pair of mating gears can be varied within limits without altering the velocity ratio. Select the correct answer using the code given below.

A

1, 3 and 4

B

1 and 3 only

C

2 and 4 only

D

2,3 and 4

Assertion A : From consideration of structural soundness and economy of design, most codes control the maximum slenderness ratio of masonry walls and columns.
Reason R : By controlling the maximum slenderness ratio, failure is by excessive stress and not by buckling.
Select your answer according to codes given below:

A

Both A and R is true and R is the correct explanation of A

B

Both A and R is true but R is not the correct explanation of A

C

A is true but R is false

D

A is false but R is true

Which of the following stresses are associated with the tightening of a nut on a bolt? P. Tensile stress due to the streching of bolt Q. Bending stress due to the bending of bolt R. Torsional shear stress due to frictional resistance between the nut and the bolt Select the correct answer using the codes given below.

A

P and Q

B

P and R

C

Only p

D

R and Q