Question

An electromagnetic radio wave is received by a transmitter before it is converted to a sound wave. The radio wave has a wavelength of 23,076 m and a frequency of 13,000 Hz. What velocity is the wave traveling at before the transmitter converts it to a sound wave?

Answer 1

Answer: The velocity is the wave traveling at before the transmitter converts it to a sound wave is $2.99\times 10^8 m/s$

Explanation:

Wavelength of the  electromagnetic wave = 23,076 m

Frequency of the wave = 13,000 Hertz

$\text{Time period}=\frac{1}{Frequency}$

$Velocity=\frac{displacement}{Time}=\frac{\lambda}{\text{Time period}}=\lambda \times Frequency=23,076\times 13,000 Hertz=2.99\times 10^8 m/s$

The velocity is the wave traveling at before the transmitter converts it to a sound wave is $2.99\times 10^8 m/s$

Answer 2

Velocity is given by frequency (f) × wavelength (λ)

v = f × λ 
v = 13000 Hz × 23076 m
v = 3×10⁸ Hz/m