A sonometer wire of length

Question:

A sonometer wire of length $1.5 \mathrm{~m}$ is made of steel. The tension in it produces an elastic strain of $1 \%$. What is the fundamental frequency of steel if density and elasticity of steel are $7.7 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ and $2.2 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$ respectively ?

1. $188.5 \mathrm{~Hz}$

2. $178.2 \mathrm{~Hz}$

3. $200.5 \mathrm{~Hz}$

4. $770 \mathrm{~Hz}$

Correct Option: 2,

Solution:

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