GATE Electronics and Communication Online Test Paper 3

1. In a PCM system with uniform quantization increasing the number of bits from 8 to 9 will reduce the quantization noise power by a factor of:

2. Flat top sampling of low pars sign

3. The driving point impedance function for the network shown in the figure has:

4. The velocity factor of a transmission line is 0.8. Electromagnetic waves travel down this line with a velocity of:

5. The number 3.14159265 when truncated to five figure, would be

6. A transmission line is terminated in a certain load resistance which causes 30% of the incident power to be reflected from the load. The load end VSWR is:

7. The probability density function of the envelop of narrow band Gassian noise is:

8. The Fourier transform of a voltage signal x(t) is x(f). The unit of x(f) is:

9. The error response of a second order system a step input is obtained as:
E(t) = 1.66 e^-st sin (6 t + 370)
The damping ratio is:

10. A lossless transmission line is terminated in a miss matched load. If the normalised load impedance is (3+j4)Ω, the reflection coefficient is:

11. The concentric spherical cells of a radii R₁, R2, R₃ (R< R₂< R₃) carry charges -1, -2 and 4 coulombs, respectively. The chrge in coulombs on the inner and outer surfaces respectively, of outermost shell is:

12. Schottky clamping is stored to in TTL gates

13. In one time constant, the current in a circuit reactive

14. Function 3s/(s+1)(s+2)  has:

15. The current transfer ratio l₂(s)/l₁(s) for the circuit shown in the figure is:

s²/s+1
s²/(s²+s+1)
s²/(s³+s²+s+1)
s/(s+1)

16. ∞
The Z-transformer of the time function ∑  δ (n-k) is

17. The circuit shown in figure is that of:

18. Cache memory i logically positioned:

19. What is the value of i (0+) and di/dt (0+) in the following ckt

20. The first two rows of Routh's tabulation of a four order system are:
S⁴      1      10       5
S³      2      10
The number of roots of the system in lying on the right half of s-plane is:

21. If V, w, q stand for voltage, energy and charge, then V can be expressed as:

22. Inside a hallow conducting sphere

23. The spectral density of a real valued random process has:

24. The step error coefficient of a system
G(s) = 1/(s+6)(s+1)
with the unity feed back is

25. The energy stored in the magnetic field of a solenoid 30 cm long and 3 cm diameter wound with 1000 turns of a wire carrying a current of 10 A is:

26. Inverse Laplace transform of 10/s(s+1) is:

27. Which of the following parts of the computer
L = Arithmetic logic unit
M = Memory
C = Control unit
required decoder (S) in their realization?

28. In the given circuit, P is the power dissipated in R₂. The total power dissipated in the circuit is:

29. The transfer function of techometer is of the form:

30. The greatest negative number which can be stored in computer that has 8-bit work length and uses '2' S complement arithmetic is:

31. The junction capacitance of a varactor diode is 5pF with a verse bias of 4V. If this bias is increase to 16V, the capacitance would become

32. The transfer function Y₁₂(s) = l₂(s)l₁(s) for the network shown in the figure is:

(a) s²/s² + s + 1
(b) s/s+1
(c) 1/s+1
(d) s+1/s²+1

33. A 50Ω transmission line is terminated in a lead impedance of (50 + j 100)Ω. The normalised load impedance is

34. Microprogramming is used in the design of:

35. The driving point admittance function of the network shown in the figure has a:

36. A retriggerable monoshot is one which

37. The number of roots s³ + 5s² + 7s + 3 = in the left half of the s-plane is:

38. The octal value 710 can be written in hexadecimal as:

39. The static characteristic of an adequately forward biased p-n junction is a straight line, if the plot is of:

40. The amplitude spectrum of a gaussian pulse is: