question_answer

A sonometer wire, 100 cm in length has a fundamental frequency of 330 Hz. The velocity of propagation of transverse waves along the wire is:

A)  300 m/s                              

B)  660 m/s

C)  115 m/s                              

D)  990 m/s

Correct Answer: B

Solution :

                Sonometer is an apparatus for determining vibrations of a stretched string. When Us length of wire then, frequency of vibration of wire is                 \[n=\frac{v}{\lambda }=\frac{v}{2l}\] \[\Rightarrow \]               \[v=n\times 2l\] Given,   \[l=100\text{ }cm=1\text{ }m,\text{ }n=330\text{ }Hz\] \[\therefore \] \[v=330\times 2=660\text{ }m/s\]