Question 409: Waves

Question

The length and diameter of a metal wire used in sonometer is doubled. The fundamental frequency will change from 'n' to

Accepted Answer

The fundamental frequency is given oy
$$\begin{aligned}
& n=\frac{1}{2 \ell r} \sqrt{\frac{T}{\pi ho}} \
	herefore \quad n & \propto \frac{1}{\ell \mathrm{r}} \
	herefore & \frac{n_2}{n_1}=\frac{\ell_1 r_1}{\ell_2 r_2}=\frac{1}{2} 	imes \frac{1}{2}=\frac{1}{4} \
	herefore \quad & n_2=\frac{n_1}{4}=\frac{n}{4}
\end{aligned}$$

Answer

$$\frac{n}{4}$$

Answer

2n

Answer

2n

Answer

$$\frac{n}{2}$$

Waves

The length and diameter of a metal wire used in sonometer is doubled. The fundamental frequency will change from 'n' to

Choose the correct answer: