GATE ECE format:nat PYQs & Answers — Page 24

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Questions 231–239 of 239. Imported answers require independent review unless marked reviewed.

Topic practice 239 questionsPage 24 of 24

A 4-bit shift register circuit configured for right-shift operation, i.e.

, is shown. If the present state of the shift register is

, the number of clock cycles required to reach the state

is ____________.

Diagram for Electronics and Communication Engineering question 44

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Figure I shows a 4-bit ripple carry adder realized using full adders and Figure II shows the circuit of a full-adder (FA). The propagation delay of the XOR, AND and OR gates in Figure II are 20 ns, 15 ns and 10 ns, respectively. Assume all the inputs to the 4-bit adder are initially reset to 0.

Diagram for Electronics and Communication Engineering question 44 (figure 2)

, the inputs to the 4-bit adder are changed to

and

. The output of the ripple carry adder will be stable at

(in ns) = ______

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A unity feedback control system is characterized by the open-loop transfer function

. The value of

for which the system oscillates at

is ________

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The unmodulated carrier power in an AM transmitter is 5 kW. This carrier is modulated by a sinusoidal modulating signal. The maximum percentage of modulation is 50%. If it is reduced to 40%, then the maximum unmodulated carrier power (in kW) that can be used without overloading the transmitter is __________

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A modulating signal given by

V is fed to a phase modulator with phase deviation constant

rad/V. If the carrier frequency is 20 kHz, the instantaneous frequency (in kHz) at

ms is __________

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A continuous time signal

, where

is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response

Let

be the output of this filter. The maximum value of

is ________.

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An optical fiber is kept along the

direction. The refractive indices for the electric fields along

and

directions in the fiber are

and

, respectively (

due to the imperfection in the fiber cross-section). The free space wavelength of a light wave propagating in the fiber is 1.5

m. If the lightwave is circularly polarized at the input of the fiber, the minimum propagation distance after which it becomes linearly polarized, in centimetres, is ________.

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An electron (

) is moving in free space with velocity

m/s towards a stationary electron (

) far away. The closest distance that this moving electron gets to the stationary electron before the repulsive force diverts its path is __________

m. [Given, mass of electron

kg, charge of electron

C, and permittivity

F/m]

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The permittivity of water at optical frequencies is

. It is found that an isotropic light source at a distance

under water forms an illuminated circular area of radius 5 m, as shown in the figure. The critical angle is

Diagram for Electronics and Communication Engineering question 55

The value of

(in meter) is __________

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GATE ECE format:nat PYQs

Question 44

Question 44

Question 46

Question 50

Question 51

Question 52

Question 53

Question 53

Question 55