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GATE 2022 Toppers Weekly Quiz 8

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Question 1

In a PCM system, the signal V is sampled at the Nyquist rate. The samples are processed by a uniform quantizer with step size 0.75 V. The minimum data rate of the PCM system in bits per second is _____.

Question 2

The sentences of a paragraph have been jumbled up and labelled P, Q, R and S. Select the option that gives the correct sequence in which these sentences should be rearranged to form a meaningful paragraph.

Satellites have been launched into space for various purposes.

P : The other satellites we have launched are the Bhaskara, Apple and Insat-IA, IB, IC.

Q : We have launched our first satellite Aryabhatta on 19th April, 1975.

R : Our latest achievement is the launching of PSLV rocket.

S : Therefore in satellite technology, we are able to compete with other developed countries.

Only a few other countries have developed satellite technology.

Question 3

The minimum no of two input NAND gate are required to implement the Boolean function Z=AB'C, Assuming that A, B and C are available is

Question 4

Consider the signal y(t) = x1(t) * x2(t). If x1(t) = 2cos(4t) u (t) & x2(t) = sin(2t) u (t). Then the value of y(t) a is ______

Question 5

A silicon p+ n diode (Na >> Nd) has junction area of 1.6 cm2, donor concentration of 1013 cm–3, diffusion coefficient of holes is 6.5 cm2 /sec and diffusion length of holes is 2 , if a forward bias voltage of 0.65 V is applied across the diode, then the forward current of the diode will be ______ mA .

(Assume h = 2, VT = 26 mV, ni = 1.5 × 1010 cm–3)

Question 6

A firm producing air purifiers sold 200 units in 2012. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in 2012. The expenditure on labour in 2012 is Rs. 4,50,000. In 2013, the raw material expenses increased by 30% and all other expenses increased by 20%. What is the percentage increase in total cost for the company in 2013?

Question 7

Let where and are constants. If at and then the relation between and is

Question 8

An input voltage  is applied to a series combination of resistance and an inductance The resulting steady state current i(t) in ampere is

Question 9

The figure below shows the doping distribution in a p-type semiconductor in log scale.

The magnitude of the electric field (in kV/cm) in the semiconductor due to non uniform doping is

Question 10

For an air filled waveguide, a TM mode operating at a frequency of 30GHz has

The intrinsic impedance is _____________

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Jan 9ESE & GATE EC