GATE ECE format:nat PYQs & Answers — Page 19

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Questions 181–190 of 239. Imported answers require independent review unless marked reviewed.

Topic practice 239 questionsPage 19 of 24

The position of a particle

is described by the differential equation:

The initial conditions are

and

. The position (accurate to two decimal places) of the particle at

is ______.

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The contour C given below is on the complex plane

, where

Diagram for Electronics and Communication Engineering question 51

The value of the integral

is ______.

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Let

and

. Assume that

and

are independent variables. At

, the value (correct to two decimal places) of

is ________ .

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Consider the network shown below with

and

. The network is connected to a constant voltage source of 11 V.

Diagram for Electronics and Communication Engineering question 53

The magnitude of the current (in amperes, accurate to two decimal places) through the source is ______.

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A band limited low-pass signal

of bandwidth 5 kHz is sampled at a sampling rate

. The signal

is reconstructed using the reconstruction filter

whose magnitude response is shown below:

Diagram for Electronics and Communication Engineering question 54

The minimum sampling rate

(in kHz) for perfect reconstruction of

is ______.

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Let

be 8-point DFT of a sequence

, where

. The value (correct to two decimal places) of

is ______.

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The rank of the matrix

is __________.

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The smaller angle (in degrees) between the planes

and

is _____.

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Three fair cubic dice are thrown simultaneously. The probability that all three dice have the same number of dots on the faces show up is (up to third decimal place) ______.

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In the circuit shown, V is a sinusoidal voltage source. The current I is in phase with voltage V. The ratio

is _________.

Diagram for Electronics and Communication Engineering question 5

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GATE ECE format:nat PYQs

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55

Question 1

Question 3

Question 4

Question 5