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GATE 2022 Rapid Revision Quiz 11

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Question 1

An analog baseband signal, band limited to 100 Hz, is sampled at the Nyquist rate. The samples are quantized into four message symbols that occur independently with probabilities p1 = p4 = 0.125 and p2 = p3 = 0.375. The information rate (bits/sec) of the message source is_________

Question 2

Consider the following assembly language program of an 8085 microprocessor:

MVI B, 10H

LOOP : DCR B

JNZ LOOP

RET

The number of clock cycles (T states) required to execute the above program is

Question 3

If directive gain of a half wave dipole is 2.64, and ohmic losses is 8Ω, then determine its power gain in dB.

Question 4

Starting from his house one day, David walks at a speed of 12 km/h and reaches his school 15 min late. Next day, he walks at a speed of 20 km/h and reaches 15 min early. How far is the school from his house?

Question 5

A coaxial capacitor of inner radius 1 mm and outer radius 5 mm has a capacitance per unit length of 172 pF/m. If the ratio of outer radius to inner radius is doubled, the capacitance per unit length (in pF/m) is ___.

Question 6

Assuming that transistors M1 and M2 are identical and have a threshold voltage of 1V, the state of transistors M1 and M2 are respectively.
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Question 7

Consider the circuit below. The transconductance of transistor M1 is equal to 40mA/V and that of M2 is equal to 20mA/V. , and . What will be the value of ?

Question 8

An input signal x(t) = 4 + cos (4πt) – sin(8πt) is is applied to an LTI system with impulse response Then the response is _______.
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Jan 26ESE & GATE EC