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GATE 2022 Rapid Revision Quiz 1

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Question 1

Consider the initially relaxed network shown in the figure below

If switch is closed at t = 0 then  is_____A/s2.

Question 2

What should be the length (cm) of semiconductor bar to get the 5v DC across it, if drift velocity of the electron travelling in it is vd = 3.2× cm/sec and mobility of electron is μ = 1200 /V-sec?

Question 3

A sinusoidal signal with peak-to-peak amplitude of 1.536 V is quantized into 128 levels using a mid-rise uniform quantizer. The quantization-noise power is –

Question 4

Determine critical angle for the electromagnetic wave passing through glass to air if εr for glass is 9.

Question 5

Consider the homogeneous ordinary differential equation with y(x) as a general solution. Given that y(1) = 1 and y(2) = 14 the value of y(1.5), rounded off to two decimal places, is _______________.

Question 6

All queens and kings are removed from a deck of playing cards. Ace will be considered as 1 and jack will be considered as 0. You took out 4 cards. The probability that all cards will be in order (order is - 1234,0123,2345,6789….) from the same deck is M. What is (M x 105 )?

Question 7

A pn junction solar cell of area 1.0 cm2, illuminated uniformly with 100mW cm-2, has the following parameters: Efficiency = 15%, open circuit voltage = 0.7 V, fill factor = 0.8, and thickness = 200 . The charge of an electron 1.6 × 10-19 C. The average optical generation rate (in cm-3s-1) is

Question 8

Calculate the output voltage for this circuit when V1 = 2.5 V and V2 = 2.25 V.

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Jan 12ESE & GATE EC