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Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringMiscellaneousMedium2 minPYQ_2021

PhysicsMediumsingle choice

' $n$ ' waves are produced on a string in 1 second. When the radius of the string is doubled, keeping tension same, the number of waves produced in 1 second for the same harmonic will be

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Solution:

Frequency of vibration of the string is given by $n = \frac{1}{2 ℓ} \frac{T}{m} = \frac{1}{2 ℓ} \frac{T}{π r ^{2} ρ} = \frac{1}{2 ℓ r} \frac{T}{π ρ} ∴ \frac{n ^{'}}{n} = \frac{r}{r ^{'}} = \frac{1}{2} ∴ n^{'} = \frac{n}{2}$

Stream:MHT_CETSubject:PhysicsTopic:Wave on StringSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2021

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