ee-gate-2010

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⏐EE⏐ GATE Paper 2010 www.gateforum.com © All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without the written permission. Discuss this question paper at www.gatementor.com . 1 Q. No. 1 – 25 Carry One Mar k Each 1. The value of the quantity P, where 1 x 0 P xe dx,is equal to = ∫ (A) 0 (B) 1 (C) e (D) 1/e 2. Divergence of the three-dimensional radial vector field r is (A) 3 (B) 1/r (C) ˆ ˆ ˆ i j k + + (D) ( ) ˆ ˆ ˆ 3 i j k + + 3. The period of the signal ( ) x t 8sin 0.8 t 4 π ⎛ ⎞ = π + ⎜ ⎟ ⎝ ⎠ is (A) 0.4 s π (B) 0.8 s π (C) 1.25s (D) 2.5s 4. The system represented by the input-output relationship ( ) ( ) 5t y t x d , t 0 −∞ = τ τ > ∫ is (A) Linear and causal (B) Linear but not causal (C) Causal but not linear (D) Neither linear nor causal 5. Th e switch in the circuit has been closed for a long time. It is opened at t = 0. At t = 0 + , the current through the 1 F μ capacitor is (A) 0A (B) 1A (C) 1.25A (D) 5A 6. The second harmonic component of the periodic waveform given in the figure has an amplitude of (A) 0 (B) 1 (C) 2 / π (D) 5 7. As shown in the figure, a 1 Ω resistance is connected across a source that has a load line v + i = 100. The current through the resistance is (A) 25A (B) 50A (C) 100A (D) 200A 5V 1Ω t 0 = 1 F μ 4Ω 1 + 0 1 − T /2 T t Source v + − i 1Ω

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