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MHT CET 2021 (22 Sep, Shift 2) · Periodic Motion & SHM Basics

Periodic Motion & SHM Basics question from MHT CET 2021 (22 Sep, Shift 2)

Q54MHT CET 2021 · 22 SEP · SHIFT 2Medium

Periodic Motion & SHM Basics

' $n$ ' 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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Answer: (b)

$f = \frac{p}{2L}\sqrt{\frac{T}{\mu}}$ and $\mu = \pi r^2\rho$ , so $f \propto \frac{1}{r}$ .
Radius doubled: $f' = \frac{f}{2}$
So the answer is (b) $\frac{n}{2}$ .

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