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Unformatted text preview: ECPaper CodeB GATE 2011 www.gateforum.com © All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this document may be reproduced or utilized in any form without the written permission. Discuss GATE 2011 question paper at www.gatementor.com . 1 Q. No. 1 – 25 Carry One Mark Each 1. Consider the following statements regarding the complex Poynting vector P a for the power radiated by a point source in an infinite homogeneous and lossless medium. ( ) Re P a denotes the real part of P a . S denotes a spherical surface whose centre is at the point source, and ɵ ndenotes the unit surface normal on S. Which of the following statements is TRUE ? (A) ( ) Re P a remains constant at any radial distance from the source (B) ( ) Re P a increases with increasing radial distance from the source (C) ( ) c s Re P .ndS ∫∫ a d remains constant at any radial distance from the source (D) ( ) c s Re P .ndS ∫∫ a d decreases with increasing radial distance form the source Answer:  (D) Exp:  ( ) S ˆ Re P .nds ∫∫ a d gives average power and it decreases with increasing radial distance from the source 2. A transmission line of characteristic impedance 50 Ω is terminated by a 50 Ω load. When excited by a sinusoidal voltage source at 10GHz, the phase difference between two points spaced 2mm apart on the line is found to be 4 π radians. The phase velocity of the wave along the line is (A) 8 0.8 10 m/s × (B) 8 1.2 10 m/s × (C) 8 1.6 10 m/s × (D) 8 3 10 m/s × Answer:  (C) Exp:  Z 50 = Ω ; L Z 50 = Ω For 4 π radians the distance is 2mm The phase velocity 10 7 8 P 3 2 10 v 16 10 1.6 10 m/s 2 16 10 ω × π × = = = × = × π β × 3. An analog signal is bandlimited to 4kHz, sampled at the Nyquist rate and the samples are quantized into 4 levels. The quantized levels are assumed to be independent and equally probable. If we transmit two quantized samples per second, the information rate is ________ bits / second. (A) 1 (B) 2 (C) 3 (D) 4 Answer:  (D) Exp:  Since two samples are transmitted and each sample has 2 bits of information, then the information rate is 4 bits/sec. ECPaper CodeB GATE 2011 www.gateforum.com © All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this document may be reproduced or utilized in any form without the written permission. Discuss GATE 2011 question paper at www.gatementor.com . 2 4. The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by (A) ( ) ( ) ( ) ( )( ) s s 1 G s H s k s 2 s 3 + = + + (B) ( ) ( ) ( ) ( )( ) 2 s 1 G s H s k s s 2 s 3 + = + + (C) ( ) ( ) ( )( )( ) 1 G s H s k s s 1 s 2 s 3 = + + (D) ( ) ( ) ( ) ( )( ) s 1 G s H s k s s 2 s 3 + = + + Answer:  (B) Exp:  'x' → indicates pole 'O' → indicates zero The point on the root locus when the number of poles and zeroes on the real axis to the right side of that point must be odd 5. A system is defined by its impulse response...
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This note was uploaded on 08/22/2011 for the course EEE 230 taught by Professor Subramanian during the Spring '07 term at Berkeley.
 Spring '07
 Subramanian
 Gate

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