Question

Scholar ISIAH was searching for his favorite hip hop song on a certain FM radio station known as 105.1. He approached a Physics Professor at York College and found out that this station broadcasts electromagnetic waves at a frequency of 9.05 x 10^7 Hz, and the radio waves travel at a speed of 3.00 x 10^8 m/s. He wanted to know the specific wavelength of these radio waves?

A. 0.30 m
B. 3.30 m
C. 33.0 m
D. 330 m

Answer 1

Using the formula for the speed of wave (v = wavelength x frequency), the wavelength of the radio waves broadcasted at 9.05 x 10^7 Hz by FM station 105.1 is approximately 3.30 m.

Step-by-step explanation:

To find the wavelength of the radio waves broadcasted by FM station 105.1 which has a frequency of 9.05 x 107 Hz, we use the formula:

Speed of wave (v) = Wavelength (λ) x Frequency (f)

Given the speed of electromagnetic waves (speed of light) as 3.00 x 108 m/s, we can rearrange the formula to solve for the wavelength:

λ = v / f

λ = (3.00 x 108 m/s) / (9.05 x 107 Hz)

λ = (3.00 / 9.05) x 10 m

λ = 0.3315 x 10 m

λ = 3.315 m

So, the wavelength is closest to option B, which is 3.30 m.