Regression equation of Y on X is 8x-10y+66=0 and σx=3.Hence cov (X,Y) is equalis

1.  11.25

2.  7.2

3.  2.4

4.  None o f these

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4
Correct Answer :

7.2


Explanation :
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The sensitivity of the closed-loop system (shown in the figure) to variation in parameter K is approximately

1.  0.01

2.  0.1

3.  1.0

4.   10

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4
Correct Answer :

0.1


Explanation :
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The mean of a set of observations is.If each observation is divided by α,α≠0 and then is increased by 10,then the mean of new set is

1.  

2.  

3.  

4.  

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4
Correct Answer :


Explanation :
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The performance specifications for a unity feedback control system having an open-loop transfer function G(s)=are i)velocity error coefficient Kv>10sec-1 ii)stable closed-loop operation. The value of K, satisfying the above specifications, is

1.  K>6

2.  6

3.  K>10

4.   none of these

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4
Correct Answer :

none of these


Explanation :
No Explanation available for this question

The unit step response of a second order linear system with zero initial states is given by c(t)=1+1.25exp(-6t) sin(8t-tan-11.333);t≥0 The damping ratio and the undamped natural frequency of oscillation of the system are respectively

1.  0.6 and 10 rad/s

2.  0.6 and 12.5 rad/s

3.  0.8 and 10 rad/s

4.   0.8 and 12.5 rad/s

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4
Correct Answer :

0.6 and 10 rad/s


Explanation :
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For the unity feedback system shown below, the steady state error, when the input is R=, would be

1.  

2.  0

3.   ∞

4.  

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4
Correct Answer :


Explanation :
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The z-transform of a signal is given by c(z)=. Its final value is

1.  

2.  zero

3.  1

4.   infinity

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4
Correct Answer :

zero


Explanation :
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In the derivative error compensation, damping

1.  decreases and settling time decreases

2.  increases and settling time increases

3.  decreases and settling time increases

4.   increases and settling time decreases

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4
Correct Answer :

increases and settling time decreases


Explanation :
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For a feedback control system of type 2, the steady state error for a ramp input is

1.  infinite

2.  constant

3.  zero

4.   indeterminate

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4
Correct Answer :

zero


Explanation :
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The close-loop transfer function of a control system is given by .For the input r(t)=sint, the steady state value of c(t) is equal to

1.  

2.  1

3.  

4.  

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4
Correct Answer :


Explanation :
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