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GATE IN 2016 Question Paper (31-Jan-2016) (Shift 2)

Medium 65 Questions 180 min 100 marks

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180 min · 100 marks · Full test mode with leaderboard

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Question No: 46Difficulty: mediumMarks: 2mcq

For the periodic signal x(t) shown below with period T = 8s, the power in the 10^{t h} harmonic is

Question No: 47Difficulty: mediumMarks: 2nat

The fundamental period N₀ of the discrete-time sinusoid x [n] = sin (\frac{301}{4} πn) i s__________.

Question No: 48Difficulty: mediumMarks: 2mcq

The transfer function G(s) of a system which has the asymptotic Bode plot shown below is

Question No: 49Difficulty: mediumMarks: 2mcq

For the feedback system given below, the transfer function G (s) = \frac{1}{( s + 1 ) ^{2}} . The system CAN NOT be stabilized with

Question No: 50Difficulty: mediumMarks: 2mcq

Match the unit-step responses (1), (2) and (3) with the transfer functions P(s), Q(s) and R(s), given below. P (s) = \frac{- 1}{( s + 1 )} Q (s) = \frac{2 ( s - 1 )}{( s + 10 ) ( s + 2 )} R (s) = \frac{1}{( s + 1 ) ^{2}}

$P (s) = \frac{- 1}{( s + 1 )}$
$Q (s) = \frac{2 ( s - 1 )}{( s + 10 ) ( s + 2 )}$
$R (s) = \frac{1}{( s + 1 ) ^{2}}$

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