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Question

Physics Question on Waves

If n1, n2 and n3 are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by:

A

1n=1n1+1n2+1n3\frac{1}{\sqrt{n}}=\frac{1}{\sqrt{n_1}}+\frac{1}{\sqrt{n_2}}+\frac{1}{\sqrt{n_3}}

B

n=n1+n2+n3\sqrt{n}=\sqrt{n_1}+\sqrt{n_2}+\sqrt{n_3}

C

n=n1+n2+n3

D

1n=1n1+1n2+1n3\frac{1}{n}=\frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}

Answer

1n=1n1+1n2+1n3\frac{1}{n}=\frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}

Explanation

Solution

The correct option (D): 1n=1n1+1n2+1n3\frac{1}{n}=\frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}