Physics - Sound Wave Question with Solution | TestHub

PhysicsSound WaveStanding waveHard2 minPYQ_2020
PhysicsHardnumerical

The equation of a stationary wave in a metal rod is given byy=0.002 sinπx3 sin1000t, wherexis incmandtis in second. The maximum tensile stress at a pointx=1 cmisnπ3×108 dyne cm-2. What is the value ofn? [Young's modulus of the material of rod is =8×1011 dyne cm-2]

Answer:
8.00
Solution:

y=0.002 sinπx3 sin1000t

dydx=0.002π3 cosπx3 sin1000t

Tensile stress =Ydydx

The maximum value of the stress at x=1 cm

=Y×0.002π3 cosπ3

=8×1011×0.002×π3 cosπ3

=8π3×108 dyne cm-2

n=8

Stream:JEESubject:PhysicsTopic:Sound WaveSubtopic:Standing wave
2mℹ️ Source: PYQ_2020

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