Question

A string with length L is stretched between two fixed points. The string can vibrate with which wavelength?

• A. 2L
• B. 3L
• C. 4L
• D. 5L

Answer 1

The correct option is A 2L

In a string , nodes are formed at two fixed ends , and wavelength of stationary wave in string is given by ,

$\lambda =2L/p$ ,

where $L=$ length of string ,

$p=1,2,\mathrm{3.....}$ ( number of mode of vibration) ,

according to the above relation , string can vibrate with wavelength $2L$ (for p=1)out of the given frequencies .