A person vibrates the end of a string sending transverse wav

A person vibrates the end of a string sending transverse waves down the string. If the person then doubles the rate at which he vibrates the string while maintaining the same tension, the speed of the waves: is unchanged while the wavelength is halved. is unchanged while the wavelength is doubled. doubles while the wavelength doubled. doubles while the wavelength is halved.

Solution

Correct option is (A).

Vibration is increase means the frequency is increased. Given that tension is constant. So the velocity of remain constant only when the wavelength is halved.