A wave moves in a rope with a certain wavelength.A second wave is made to move in the same rope with twice the wavelength of the first wave.The frequency of the second wave is _______________ the frequency of the first wave.
A)1/2
B)the same as
C)2 times
D)unrelated to

Question

Quizplus · Accepted Answer

The frequency of a wave is directly proportional to the velocity of the wave and inversely proportional to the wavelength. Since the two waves are moving in the same rope, the velocity of both waves is the same. Therefore, if the wavelength of the second wave is twice that of the first wave, then its frequency must be half of the frequency of the first wave, as frequency and wavelength are inversely proportional. Thus, the answer is A) 1/2.

A Wave Moves in a Rope with a Certain Wavelength