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- Question 1 of 15
##### 1. Question

The phase margin in degrees of

G(s) = 10 / [(s + .1)(s+1)(s+10) ]

calculated using the asymptotic Bode plot is

CorrectIncorrect - Question 2 of 15
##### 2. Question

Let X be a real-valued random variable with E[X] and E[X*X] denoting the mean values of X and X*X, respectively. The relation which always holds true is

CorrectIncorrect - Question 3 of 15
##### 3. Question

A fair coin is tossed repeatedly until a ‘Head’ appears for the first time. Let L be the number of tosses to get this first ‘Head’. The entropy H(L) in bits is

CorrectIncorrect - Question 4 of 15
##### 4. Question

For a parallel plate transmission line, let v be the speed of propagation and Z be the characteristic impedance. Neglecting fringe effects, a reduction of the spacing between the plates by a factor of two results in

CorrectIncorrect - Question 5 of 15
##### 5. Question

The second moment of a Poisson-distributed random variable is 2. The mean of the random variable is

CorrectIncorrect - Question 6 of 15
##### 6. Question

Given the following statements about a function f: R→R, select the right option:

P: If f(x) is continuous at x=x0, then it is also differentiable at x=x0

Q: If f(x) is continuous at x=x0, then it may not be differentiable at x=x0.

R: If f(x) is differentiable at x=x0, then it is also continuous at x=x0.CorrectIncorrect - Question 7 of 15
##### 7. Question

A continuous-time function x(t) is periodic with period T. The function is sampled uniformly with a sampling period Ts. In which one of the following cases is the sampled signal periodic?

CorrectIncorrect - Question 8 of 15
##### 8. Question

A continuous-time sinusoid of frequency 33 Hz is multiplied with a periodic Dirac impulse train of frequency 46 Hz. The resulting signal is passed through an ideal analog low-pass filter with a cutoff frequency of 23 Hz. The fundamental frequency (in Hz) of the output is

CorrectIncorrect - Question 9 of 15
##### 9. Question

Consider the following statements for a metal oxide semiconductor field effect transistor (MOSFET):

P: As channel length reduces, OFF-state current increases.

Q: As channel length reduces, output resistance increases.

R: As channel length reduces, threshold voltage remains constant.

S: As channel length reduces, ON current increases.

Which of the above statements are INCORRECT?CorrectIncorrect - Question 10 of 15
##### 10. Question

Match the inferences X, Y, and Z, about a system, to the corresponding properties of the elements of first column in Routh’s Table of the system characteristic equation.

X: The system is stable …

Y: The system is unstable …

Z: The test breaks down …

P: … when all elements are positive

Q: … when any one element is zero

R: … when there is a change in sign of coefficientsCorrectIncorrect - Question 11 of 15
##### 11. Question

A closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer function

CorrectIncorrect - Question 12 of 15
##### 12. Question

Consider binary data transmission at a rate of 56 kbps using baseband binary pulse amplitude modulation (PAM) that is designed to have a raised-cosine spectrum. The transmission bandwidth (in kHz) required for a roll-off factor of 0.25 is

CorrectIncorrect - Question 13 of 15
##### 13. Question

A superheterodyne receiver operates in the frequency range of 58 MHz − 68 MHz. The intermediate frequency Fi and local oscillator frequency Fl are chosen such that Fi≤Fl. It is required that the image frequencies fall outside the 58MHz − 68 MHz band. The minimum required Fi(in MHz) is

CorrectIncorrect - Question 14 of 15
##### 14. Question

The amplitude of a sinusoidal carrier is modulated by a single sinusoid to obtain the amplitude modulated signal s(t) = 5 cos 1600*pi*t+ 20 cos 1800*pi*t+ 5 cos 2000*pi*t. The value of the modulation index is

CorrectIncorrect - Question 15 of 15
##### 15. Question

Concentric spherical shells of radii 2 m, 4 m, and 8 m carry uniform surface charge densities of 20nC/m2,-4nC/m2 and Ps respectively.The value of Ps (nC/m2) required to ensure that the electric flux density D = 0 at radius 10m is (note number after m should be read as meter square)

CorrectIncorrect