The wavelength (W) of a wave varies inversely as its frequency (F). A wave with a frequency of 600 kHz (kilohertz) has a length of 129 m. What is the length of a wave with a frequency of 300 kHz?

Question

Noe

Physics

10 September, 17:24

The wavelength (W) of a wave varies inversely as its frequency (F). A wave with a frequency of 600 kHz (kilohertz) has a length of 129 m. What is the length of a wave with a frequency of 300 kHz?

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Harmony Charles · Answer 1

The wavelength of a wave varies inversely as its frequency, i. e.

W ∝ 1/F

A wave decreases its frequency from 600kHz to 300kHz, so let's calculate the scaling factor of W due to the change in F.

k = 1 / (300/600) = 2

To find the new wavelength, multiply the original wavelength by k:

W = 2*129m

W = 258m