Electromagnetic radiation with a frequency of 2,000 hertz would have a wavelength of A)1/2,000 cm. B)1.5 * 10^-7 cm. C)1.5 * 10⁷ cm. D)cannot be determined

Question

Quizplus · Accepted Answer

The relationship between frequency (f) and wavelength (λ) is given by the formula: c = f λ, where c is the speed of light (3 x 10^8 m/s).

Rearranging this formula to solve for wavelength:

λ = c/f

Plugging in the given frequency of 2,000 hertz:

λ = (3 x 10^8 m/s) / (2,000 Hz) = 1.5 x 10^5 m or 1.5 x 10^3 cm or 1.5 x 10^1 mcm

Therefore, the wavelength of electromagnetic radiation with a frequency of 2,000 hertz is approximately 1.5 x 10^1 mcm or 1.5 x 10^-5 cm, which is closest to choice C.

Electromagnetic Radiation with a Frequency of 2,000 Hertz Would Have