Two wave functions in a medium along x -direction are given by y 1 = 2 + ( 2 x − 3 t ) 2 1 m; y 2 = − 2 + ( 2 x + 3 t − 6 ) 2 1 m, where x is in metres and t is in seconds:

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Two wave functions in a medium along $x$ -direction are given by $y_{1} = \frac{1}{2 + ( 2 x - 3 t ) ^{2}}$ m; $y_{2} = - \frac{1}{2 + ( 2 x + 3 t - 6 ) ^{2}}$ m, where $x$ is in metres and $t$ is in seconds:

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Answer:

Solution:

$y_{1}$ depends on $x - 1.5 t$ , so it moves toward $+ x$ at 1.5 m/s. $y_{2}$ depends on $x + 1.5 t - 3$ , so it moves toward $- x$ at 1.5 m/s. They travel in opposite directions.

Stream:JEESubject:PhysicsTopic:Wave on StringSubtopic:Waves

⏱ 2mℹ️ Source: QB

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