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Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringEquation/graphMedium2 minPYQ_2023

PhysicsMediumsingle choice

A transverse wave in a medium is given by $y = A sin 2 (ω t - k x)$ . It is found that the magnitude of the maximum velocity of particles in the medium is equal to that of the wave velocity. What is the value of $A$ ?

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Answer:

Solution:

The given equation is $y = A sin 2 (ω t - k x)$ $∴$ Velocity of the particle, $v = \frac{dy}{dt}$ $= 2 A ω cos 2 (ω t - kx)$ $∴$ Maximum velocity $= 2 A ω$ Velocity of the wave $= \frac{ω}{k}$ Given 2A $ω = \frac{ω}{k}$ $∴ A = \frac{1}{2 k} = \frac{λ}{( 2 π ) ^{2}} = \frac{λ}{4 π}$

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

⏱ 2mℹ️ Source: PYQ_2023

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