GATE EE 2018 Paper 1 — page 7

Questions 19–21 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 7 of 22

Match the transfer functions of the second-order systems with the nature of the systems given below.

Transfer functions: P:

Nature of system: I: Overdamped II: Critically damped III: Underdamped

Your answerChoose one option.

P-I, Q-II, R-III

P-II, Q-I, R-III

P-III, Q-II, R-I

P-III, Q-I, R-II

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A positive charge of 1 nC is placed at (0, 0, 0.2) where all dimensions are in metres. Consider the x-y plane to be a conducting ground plane. Take

F/m. The Z component of the E field at (0, 0, 0.1) is closest to

Your answerChoose one option.

89.18 V/m

−89.18 V/m

999.09 V/m

−999.09 V/m

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Let f be a real-valued function of a real variable defined as

for

, and

for

. Which one of the following statements is true?

Your answerChoose one option.

f(x) is discontinuous at x = 0.

f(x) is continuous but not differentiable at x = 0.

f(x) is differentiable but its first derivative is not continuous at x = 0.

f(x) is differentiable but its first derivative is not differentiable at x = 0.

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2018 · Paper 1