Question

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.

Answer 1

The frequency of the second wave is half of the frequency of first one.

Step-by-step explanation:

The wavelength of the second wave is double is the first wave.

As we know that the frequency is inversely proportional to the wavelength of the velocity is same.

velocity = frequency x wavelength

So, the ratio of frequency of second wave to the first wave is

`(f_2)/(f_1) =(\lambda _1)/(\lambda _2)\\\\(f_2)/(f_1) =(\lambda _1)/(2\lambda _1)\\\\(f_2)/(f_1) =(1)/(2)\\\\`

The frequency of the second wave is half of the frequency of first one.