Question

A stretched string of 1 m length and mass 5 x 10^-4 kg is having tension of 20 N. If it is plucked at 25 cm from one end then it will vibrate with frequency ____________.

Options

• 100 Hz

• 200 Hz

• 256 Hz

• 400 Hz

Answer 1

A stretched string of 1 m length and mass 5 x 10^-4 kg is having tension of 20 N. If it is plucked at 25 cm from one end then it will vibrate with frequency 200 Hz.

Explanation:

`"Plucking distance from one end" = l/(2"p")`

`Rightarrow 25 = 100/(2"p")`

`Rightarrow "P" = 2.`

Now frequency of vibration,

`"n" = "p"/(2l) sqrt("T"/"m")= 2/(2 xx 1) sqrt(20/(5 xx10^-4)`

`= 200  "Hz"`