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BARC Full Syllabus Test 18

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Question 1

Determine the instantanous frequency of the signal 10 cos [20 πt + πt²] in hertz.

Question 2

For the self-bias circuit shown in the above figure, the stability factor ‘S’ of the given circuit approximately is ____ (S =

) where both

and β are kept constant (take β >>1)

Question 3

If a characteristics equation has roots

then the values of natural frequency and damping ratio will be respectively.

Question 4

Consider the following circuit with the intial state Q₀ = Q₁ = 0. The D flip-flop are positive edge triggered and have set up times 25 ns and hold time 0ns.

Consider the following timing diagrams of X and C, the clock period of C = 40 nS. Which of one is correct plot of Y

Question 5

For the following circuit. Find the currents I₁& I₂ ? (assuming op – amp to be ideal)

Question 6

A low pass random process has a white-noise power spectral density
S_X(ω) = N/2 for | ω | ≤ 2πB
Determine the Power P_X contained by the process

Question 7

The Nyquist plot of an open – loop function of a negative feedback control system is shown below:

For open loop system was given as stable, the closed loop system will be________.

Question 8

What are the contents of Q₁ & Q₀ after 78^th clock pulse. Initially the contents are Q₁ = 0 , Q₀ = 0

Question 9

In a uniform linear array, four isotropic radiating elements are spaced λ/2 apart. The progressivephase shift between the elements required for forming the main beam at 60 ° off the end fire is

Question 10

For a monostable multibrator using IC555 if R_A = 2kΩ, R_B = 4 kΩ and C = 0.1 μf calculate the frequency of output waveform is ______ KHz

Question 11

What will be the required height of a T.V. tower which can cover the population of 60.3 lakhs if average population density around the tower is 1000 km^-2? [Radius of earth = 6.4 x 10⁶ m]

Question 12

region 1, Z<0 and region 2, Z>0 are both perfect dielectrics. A uniform plane wave travelling in the direction has a frequency of .Its Wavelength in two regions are SWR in region 1 is