When radiation has a frequency of 5.2 * 10¹² Hz, what is its wavelength? A) 5.8 * 10^-5cm B) 1.7 * 10⁴m C) 1.7 * 10^-4m D) 5.8 * 10^-5m E) 5.8 * 10⁵m

Question

Quizplus · Accepted Answer

We can use the formula c = λf, where c is the speed of light, λ is the wavelength and f is the frequency of radiation. Rearranging the formula, we get:
λ = c/f
Plugging in the values, we get:
λ = (3.00 x 10^8 m/s)/(5.2 x 10^10 Hz)
λ = 5.8 x 10^-5 m
Converting to centimeters, we get:
λ = 5.8 x 10^-5 m x 100 cm/m = 5.8 x 10^-3 cm 
The closest answer choice is D, which is 5.8 x 10^-5 m, or 5.8 x 10^-3 cm.

When Radiation Has a Frequency of 5