Question

URGENT PLZ HELPPP!

FM radio bands range from 88 MHZ through 108 MHz. The speed of light is 3 × 108 m/s.
What is the wavelength for the FM radio band at 96 MHz?
Answer in units of m.


(part 2 of 2)
What is the wavelength for the FM radio band
at 106 MHz? Answer in units of m

Answer 1

λ = 3.125 m

λ = 2.83 m

Further explanation

Given

Frequency of radio : 96 MHz and 106 MHz

Required

The wavelength

Solution

Wavelength : from the crest to the crest of the next wave or the trough to the trough

Frequency (f): number of waves in one second

v = λ x f

λ = v : f

Input the value :

f = 96 MHz = 96 x 10⁶ Hz

λ = v : f

λ = 3 x 10⁸ : 96 x 10⁶

λ = 3.125 m

f = 106 MHz = 106 x 10⁶ Hz

λ = v : f

λ = 3 x 10⁸ : 106 x 10⁶

λ = 2.83 m