When radiation has a frequency of 1.5 * 10¹⁵ Hz, what is its wavelength? A) 3.0 * 10^-11 m B) 4.2 * 10^-7 m C) 2.0 * 10^-7 cm D) 2.0 * 10^-7 m E) 2.0 * 10^-8 m

Question

Quizplus · Accepted Answer

The wavelength (λ) of radiation is given as:

λ = c/f

where c is the speed of light (3.00 x 10^8 m/s) and f is the frequency of radiation.

Substituting c = 3.00 x 10^8 m/s and f = 1.5 x 10^10 Hz, we get:

λ = 3.00 x 10^8 m/s / (1.5 x 10^10 Hz) = 2.0 x 10^-7 m

This is equivalent to 2.0 x 10^-5 cm, or 2.0 x 10^-8 m in scientific notation. So, the best choice is D, which gives the wavelength as 2.0 x 10^-7 m.

When Radiation Has a Frequency of 1