Question

(URGENT) The frequency of a radio wave varies inversely as its wavelength. If a 250-meter wave has a frequency of 1,200 kilohertz, what is the wavelength of a wave that has a frequency of 6,000 kilohertz? Round your answer to the nearest meter.

A 28,800 m

B 1,250 m

C 100 m

D 50 m

Answer 1

50 m

Explanation:

The frequency of a radio wave varies inversely as its wavelength. This means that:

f α 1 / λ

=> f = c / λ

c is the constant of proportionality

Note: c is called the speed of the radio wave

A 250-meter wave has a frequency of 1,200 kHz.

This implies that:

1200 * 1000 = c / 250

=> c = 250 * 1200 * 1000

c = 300000000 m/s

Therefore, to calculate the wavelength of a wave that has a frequency of 6,000 kilohertz:

6000 * 1000 = 300000000 / λ

=> λ = 300000000 / 6000000

λ = 50 m

Its wavelength is 50 m.