Question

A sonometer wire, $100\text{cm}$ in length has a fundamental frequency of $330\text{Hz}$. The velocity of propagation of transverse waves along this wire is :

• A. $330{\text{ms}}^{-1}$
• B. $660{\text{ms}}^{-1}$
• C. $115{\text{ms}}^{-1}$
• D. $990{\text{ms}}^{-1}$

Answer 1

The correct option is B $660{\text{ms}}^{-1}$

For the fundamental frequency $(f_0=330Hz),\lambda =2L=200\text{cm}=2\text{m}$

then from the formula, $v=f_0\times \lambda =330\times 2.0=660{\text{ms}}^{-1}$