Question

For a 50.0 Hz AC power line radiating an electromagnetic wave with a maximum electric field strength of 13.0 kV/m, what is the wavelength of this low-frequency electromagnetic wave?

a) 2.60 x 106 m
b) 2.40 x 104 m
c) 1.56 × 103 m
d) 1.80 x 105 m

Answer 1

The wavelength of the low-frequency electromagnetic wave is 2.60 x 10⁶ m.

Step-by-step explanation:

The wavelength of a low-frequency electromagnetic wave can be calculated using the formula:

wavelength = speed of light / frequency

Given that the frequency is 50.0 Hz, we can use the known value for the speed of light (3.00 x 10⁸ m/s) to calculate the wavelength:

wavelength = (3.00 x 10⁸m/s) / (50.0 Hz) = 6.00 x 10⁶m

Therefore, the correct answer is 2.60 x 10⁶ m (option a).