A student produces a wave in a long spring by

vibrating its end. As the frequency of the vibration

is doubled, the wavelength in the spring is

(1) quartered (3) unchanged

(2) halved (4) doubled

(2) halved The speed of the wave in the spring is determined by the properties of the spring. As there is no physical change in the properties of the spring as the frequency of vibration is varied, the speed of the wave in the spring is constant. Hence, frequency x wavelength = constant. When the frequency is doubles, the wavelength is halved.