Question

A popular rock station broadcasts at a frequency of 101.7 mhz. Calculate the wavelength.

A) 2.95 × 10^−3 m
B) 1.86 × 10^−3 m
C) 1.72 × 10^−3 m
D) 1.48 × 10^−3 m

Answer 1

The wavelength of a radio wave from a station broadcasting at 101.7 MHz is calculated using the speed of light and is found to be approximately 2.95 × 10^-3 meters.

Step-by-step explanation:

To calculate the wavelength of a radio wave from a station broadcasting at a frequency of 101.7 MHz (megahertz), you can use the formula which relates wave speed (v), frequency (f), and wavelength (λ):

v = f × λ

For electromagnetic waves (which include radio waves), the speed (v) is the speed of light, which is approximately 3 × 10^8 m/s. Inserting the given frequency into the formula we get:

3 × 10^8 m/s = 101.7 × 10^6 1/s × λ

Now you solve for the wavelength (λ) by dividing the speed of light by the frequency:

λ = λ = (3 × 10^8 m/s) / (101.7 × 10^6 1/s)

λ = 2.95 × 10^-3 m

So, the correct wavelength of the radio wave from a station broadcasting at 101.7 MHz is approximately 2.95 × 10^-3 meters, which corresponds to option A).