Question

If an AM radio station broadcasts at 9.95 x 10^5 Hz, what is the wavelength of this radiation? (c = 3 x 10^8 m/s)

a) 6.59 x 10^-28 m
b) 3.32 x 10^-3 m
c) 1.01 x 10^-6 m
d) 3.02 x 10^2 or 301.5075376884422

Answer 1

To calculate the wavelength of an AM radio station broadcast, divide the speed of light (3 x 10^8 m/s) by the frequency of the broadcast (9.95 x 10^5 Hz), resulting in a wavelength of 301.5075376884422 m.

Step-by-step explanation:

To find the wavelength of the radiation for an AM radio station broadcasting at 9.95 x 105 Hz, you can use the formula:

c = f x λ, where:

c is the speed of light, which is 3 x 108 m/s,

f is the frequency of the broadcast, which is 9.95 x 105 Hz,

λ is the wavelength we want to find.

Rearranging the formula to solve for the wavelength (λ), we get:

λ = c / f

λ = (3 x 108 m/s) / (9.95 x 105 Hz)

λ = 3.02 x 102 m or 301.5075376884422 m

Therefore, the correct answer is d) 3.02 x 102 or 301.5075376884422 m.