First slide

Sonometer

Question

String of a sonometer of length 48 cm between bridges vibrate in second overtone. Then amplitude of vibration is maximum at a distance x from one bridge. Then x is

Moderate

A

x = 9cm
B

x = 18 cm
C

x = 8 cm
D

32 cm

Solution

A and B are positions of two bridges and the string is oscillating in three segments as shown in figure.
Evidently amplitude is maximum at points P, Q and R from left bridge distance of P, x = 8 cm and distance of Q, x = 24 cm

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