GATE Electronics and Communication Test 5 Question Answer Online

1. Choose the most appropriate word from the options given below to complete the following sentence:
His rather casual remarks on politics ................ his lack of seriousness about the subject.

2. A continuous time LTI system is described by
dy(t)/dt + 4dy(t/dt) + 3y(t) = 2 dx(t)/dt + 4x(t)
Assuming zero initial conditions. the response y(t)of the above system for the input
x(t) = e^-2t u(t) is given by

3. Assuming the OP-AMP to be ideal, the voltage gain of the amplifier shown below is:

4. Given digits 2, 2, 3, 3, 4, 4, 4, 4 how many distinct 4 digit numbers greater than 3000 can be formed?

5. A fair coin is tossed independently four times. The probability of the event "the number of times heads show up is more than the number of times tails show up" is

6. The questions below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair.
Unemployed : Worked

7. In the silicon BJT circuit shown below, assume that the emitter area of transistor Q1 is half that of transistor Q2.

The value of current I₀ is approximately

8. For the 8085 assembly language program given below, the content of the accumulator after the execution of the program is:
3000     MVI          A, 45H
3002     MOV         B, A
3003     STC
3004     CMC
3005     RAR
3006     XRA         B

9. Compared to a p-n junction with N_A = N_D = 10/cm, which one of the following statements is TRUE for a p-n junction with N_A = N_D 10²⁰/cm³?

10. Consider an angle modulated signal
x(t) = 6 cos [2π x 10⁶t + 2sin (800π t) + 4cos (8000πt)] V.
The average power of x(t) is:

11. Consider the z-transform
X(z) = 5z² + 4z^-1 + 3; 0 < |z| < ∞
The inverse transform x[n] is:

12. In the circuit shown, the power supplied by the voltage storage is:

13. At room temperature, a possible value for the mobility of electrons in the inversion layer of a silicon n-channel MOSFET is:

14. Consider the common emitter amplifier show below with the following circuit parameters:
β = 100, g_m = 0.3861 A/V, r₀ = ∞, r_π = 259Ω, R_s = 1 kΩ, R_B = 93 kΩ, R_C = 250Ω, R_L = 1 kΩ
C₁ = ∞ and C₂ 4.7 μF.

The lower cut-off frequency due to C₂ is:

15. In the circuit shown, all the transmission line sections are lossless. The Voltage Standing Wave Ratio (VSWR) on the 60Ω line is

16. Which of the following options is the closest in meaning of the word below:
Circuitous

17. For a parallel RLC circuit, which one of the following statements is not correct?

18. A transmission line has a characteristic impedance of 50Ω and a resistance of 0.1Ω m. If the line is distortionless, the attenuation constant (in Np/m) is:

19. X(t) is a stationary process with the power spectral density S_x (f) > 0 for all f. The process is passed through a system shown below.

Let S_Y(f)be the power spectral density of Y(t). Which one of the following statements is correct?

20. Assuming that all flip-flops are in reset condition initially, the count sequence observed at Q_A in the circuit shown is:

21. If e^y = x^1/x, then y has a

22. Thin gate oxide in a CMOS process is preferably grown using

23. If the scattering matrix [S] of a two port network is
[S] = [0.2∠0º          0.9∠90º]
0.9∠90º         0.1∠90º
then the matrix is:

24. 25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is:

25. The residues of a complex function X(z) = 1-2z/z(z-1)(z-2) at its poles are:

26. The Nyquist sampling rate for the signal s(t) = sin(500πt)/πt  x  sin(700πt)/πt  is given by:

27. The transformer function Y(s)/R(s) of the system shown is:

28. The eigenvalues of a skew -symmetric matrix are:

29. For the asymptotic Bode magnitude plot shown below, the system transfer function can be

30. The amplifier circuit shown below uses a silicon transistor. The capacitor C_C and C_E can be assumed to be short at signal frequency and the effect of output resistance r₀ can be ignored. If C_E is disconnected from the circuit, which one of the following statements is TRUE?

31. The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: T = 300, electronic charge = 1.6 x 10^-19 C, thermal voltage = 26 mV and electron mobility = 1350 cm²/V-s

The magnitude of the electric field at x = 0.5 μm is:

32. For an N-point FFT algorithm with N = 2^m. which one the following statement is TRUE?

33. Modern warfare has changed from large scale clashes from armies to suppression of civilian populations. Chemical agents that do their work silently appear to be suited to such warfare, and regretfully, there exist people in military establishment who think that chemical agents are useful tools for their cause.
Which of the following statements best sums up the meaning of the above passage:

34. The trignometric Fourier series for the waveform f(t)shown below contains

35. Hari (H), Gita(G), Irfan(I) and Saira(S) are siblings (i.e., brothers and sisters). All were born on 1st January. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts:
I. Hari's age + Gita's age > Irfan's age  + Saira's age
II. The age difference between Gita and Saira is 1 year. However, Gita is not the oldest and Saira is not the youngest.
III. There are no twins.
In what order were they born (oldest first)?

36. The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: T = 300, electronic charge = 1.6 x 10^-19 C, thermal voltage = 26 mV and electron mobility = 1350 cm²/V-s

The magnitude of the electron drift current density at x = 0.5 μm is:

37. Choose the most appropriate word from the options given below to complete the following sentence:
If we manage to .................... our natural resources, we would leave a better planet for our children.

38. In a uniformly doped BJT, assume that N_E, N_B and N_C are the emitter, base and collector dopings in atoms/cm³ , respectively. If the emitter injection efficiency of the BJT is close to unity, which one of the following conditions is TRUE?

39. Two discrete time system with input_se response of the cascaded. The overall impulse response of the cascaded system is:

40. In the circuit shown the switch Sis open for a long time and is closed at t = 0. The current i(t) for t ≥ 0⁺ is: