First slide

Stationary waves

Question

Frequency of a sonometer wire is n. Now its tension is increased 4 times and its length is doubled then new frequency will be

Easy

A

n/2
B

4n
C

2n
D

n

Solution

$n \propto \frac{1}{l} \sqrt{T} \Rightarrow \frac{n^{'}}{n} = \sqrt{\frac{T^{'}}{T}} \times \frac{l}{l^{'}} = \sqrt{4} \times \frac{1}{2} = 1 \Rightarrow n^{'} = n$

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