When the string of a sonometer of length `L` between the bridges vibrates in the first overtone , the amplitude of vibration is maximum at

Options

A. `L//2`
B. `(L//4) and ( 3L//4)`
C. `(L//6),(3L//6) and ( 5L//6)`
D. `(L)/(8) , (3 L)/(8) , ( 5 L)/(8) ,(7 L)/(8)`

Answer

B

Explanation

The string vibrates in two segments in the first overtone . Therefore the ammplitude of vibration is maximum at `(L//4) and ( 3L//4)`.