Question

The frequency of a radio signal varies inversely with the wavelength. A signal of 800 kilohertz has a wavelength of 375 meters. What is the frequency of a radio signal of wavelength 250 meters?

Answer 1

The correct answer is 1200 kilohertz.

Explanation:

Frequency of a radio signal wave is given to be inversely related to its wavelength.

Let frequency of a radio signal be f and it's wavelength be w.

f ∝
`(1)/(w)`

⇒ f =
`(k)/(w)` ; [ where k is the constant of proportionality]

⇒ f × w = k

Given wavelength and frequency of a signal is 375 meters and 800 kilohertz respectively.

Therefore the value of k = 375 × 800 = 300000

We need to find the frequency of the radio signal of wavelength 250 meters. The frequency is
`(300000)/(250)` = 1200 kilohertz.