Question

A transverse wave is travelling on a string with velocity 'V'. The extension in the string is 'x'. If the string is extended by 50%, the speed of the wave along the string will be nearly ______.

(Hooke's law is obeyed)

Options

• (0.9)V

• (1.1)V

• (0.7)V

• (1.22)V

Answer 1

A transverse wave is travelling on a string with velocity 'V'. The extension in the string is 'x'. If the string is extended by 50%, the speed of the wave along the string will be nearly (1.22)V.

Explanation:

`"V"=sqrt("T"/"m")`

`therefore"V"_2/"V"_1=sqrt("T"_2/"T"_1)`

`=sqrt1.5approx1.22`