The disturbance y ( x , t ) of a wave propagating in the positive x -direction is given by y = 1 + x 2 1 at time t = 0 and by y = [ 1 + ( x − 1 2 ) ] 1 at t = 2 s , where x and y are in meters. The shape of the wave disturbance does not change during the propagation. The velocity of wave in m / s is

The equation of wave at any time is obtained by putting X = x − vt y = 1 + x 2 1 = 1 + ( x − v t ) 2 1 We know at t = 2 sec , y = 1 + ( x − 1 ) 2 1 On comparing (i) and (ii) we get v t = 1 V = t 1 As t = 2 sec ∴ V = 2 1 = 0.5 m / s .

Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringEquation/graphHard2 minPYQ_2012

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The disturbance $y (x, t)$ of a wave propagating in the positive $x$ -direction is given by $y = \frac{1}{1 + x ^{2}}$ at time $t = 0$ and by $y = \frac{1}{[ 1 + ( x - 1 ^{2} ) ]}$ at $t = 2 s$ , where $x$ and $y$ are in meters. The shape of the wave disturbance does not change during the propagation. The velocity of wave in $m / s$ is

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The equation of wave at any time is obtained by putting $X = x - vt$ $y = \frac{1}{1 + x ^{2}} = \frac{1}{1 + ( x - v t ) ^{2}}$ We know at $t = 2 sec$ , $y = \frac{1}{1 + ( x - 1 ) ^{2}}$ On comparing (i) and (ii) we get $v t = 1$ $V = \frac{1}{t}$ As $t = 2 sec$ $∴ V = \frac{1}{2} = 0.5 m / s .$

Stream:JEESubject:PhysicsTopic:Wave on StringSubtopic:Equation/graph

⏱ 2mℹ️ Source: PYQ_2012

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