Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringEquation/graphEasy2 minPYQ_2020

PhysicsEasysingle choice

A string of length $2 x$ is stretched by $0.1 x$ and the velocity of a transverse wave along it is $v$ . When it is stretched by $0.4 x$ , the velocity of the wave is

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Solution:

Wave speed $v = \sqrt{\frac{T}{μ}} = \sqrt{\frac{T L}{M}}$

$\frac{v_{2}}{v_{1}} = \sqrt{\frac{T_{2} L_{2}}{T_{1} L_{1}}} = \sqrt{\frac{(k x_{2}) (l_{0} + x_{2})}{(k x_{1}) (l_{0} + x_{1})}}$

$\frac{v_{2}}{v_{1}} = \sqrt{\frac{(0.4 x) (2 x + 0.4 x)}{(0.1 x) (2 x + 0.1 x)}}$

$\frac{v_{2}}{v} = \sqrt{\frac{4 (24)}{(1) (21)}} = \sqrt{\frac{32}{7}}$

$v_{2} = \sqrt{\frac{32}{7}} v$

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

⏱ 2mℹ️ Source: PYQ_2020

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