## Question

A stretched string of length 1 m, fixed at both ends, having a mass of kg is under a tension of 20 N. It is plucked at a point situated at 25 cm from one end. The string would vibrate with a frequency of

### Solution

200 Hz

The ends of the string *x* = 0 and *x* = 100 cm are nodes. The string is plucked at *x* = 25 cm. Hence *x* = 25 cm is an antinode. The next antinode is at *x* = 75 cm. Therefore, the string vibrates in 2 segments. Hence its frequency is

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