#### Quiz-summary

0 of 15 questions completed

Questions:

- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
- 11
- 12
- 13
- 14
- 15

#### Information

Click on Start Quiz button to take the Online test. Below are some articles to help you prepare for GATE exams.

**Mobile App**

You can install GATE Mobile App for unlimited online tests with answers.

**Exam Details**

Read my article on GATE exams for details of exam (eligibility criteria, format etc) and also post your questions or doubts.

**Online tests and Books**

My article on GATE Electronics and Communication Engineering provides details to crack the exam with ease ( free Online tests, recommended books, detailed syllabus).

You have already completed the quiz before. Hence you can not start it again.

Quiz is loading...

You must sign in or sign up to start the quiz.

You have to finish following quiz, to start this quiz:

#### Results

0 of 15 questions answered correctly

Your time:

Time has elapsed

You have reached 0 of 0 points, (0)

Average score | |

Your score |

#### Categories

- Not categorized 0%

Pos. | Name | Entered on | Points | Result |
---|---|---|---|---|

Table is loading | ||||

No data available | ||||

- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
- 11
- 12
- 13
- 14
- 15

- Answered
- Review

- 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