Exercise :: Exam Questions Papers - Exam Paper 12
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26. | Figure shows four D type FFs are connected as a shift register using an XOR gate. The initial state and 3 subsequent states for 3 clock pulses are also given |
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Answer: Option D Explanation: After the 3rd pulse FF3 is 0 and FF4 is 1, so that XOR output is 1 which is fed to DA. So, QA = 1, QA to QB → 0 AB to AC → 0, QC → QD → 0. |
27. | A rectangular wave guide is designed to propagate at the dominant mode TE10 at a frequency of 5 GHz. The cut-off frequency is 0.8 of signal frequency. The ratio of the guide width to height is 2. The dimensions of the guide are |
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Answer: Option A Explanation: λc = 2a or ⇒ a = 3.75 cm Also, ∴ |
28. | In the Taylor series expansion of exp(x) + sin(x) about the point x = p, the coefficient of (x - p)2 is |
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Answer: Option B Explanation: f(x) = ex + sin x Coefficient of (x - p)2 = 1 / 2! f''(x) f'(x) = ex + cos x f'(x) = ex - sin x f''(x)|x=p = ep Thus coefficient of (x - p)2 = 0.5 . |
29. | The Z transform of a particular signal is given as |
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Answer: Option B Explanation: When get high value at ω = 0, and low value at ω = p, hence we get a low pass filter. So the system is min-phase causal system. For practical implementation of the system, the system has to be stable. |
30. | If g(t) = e-pt2 then G(1/p) is __________ where g(t) |
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Answer: Option B Explanation: The signal g(t) given above is a gaussian pulse and it satisfies the relation
∴ Its fourier transform is same as the signal itself in frequency domain G(f) = e-pf2 G(1/p) = e-p(1/p)2 = e-1/p. |