If radiation has a frequency of 3.1 * 10¹⁶ sec^-1, what is its wavelength? A) 1.0 * 10⁸ cm B) 1.0 * 10^-8 cm C) 1.0 * 10⁸ m D) 1.0 * 10^-8 m E) 3.0 * 10^-8 m

Question

Quizplus · Accepted Answer

The formula for determining wavelength is:
λ = c / f 
where λ is the wavelength, c is the speed of light in a vacuum (3.0 x 10^8 m/s), and f is the frequency.

Plugging in the values given in the question, we get:
λ = (3.0 x 10^8 m/s) / (3.1 x 10^16 sec^-1)
λ = 9.68 x 10^-9 m

This value can be converted to centimeters by multiplying by 100:
λ = 9.68 x 10^-7 cm

The only answer choice that matches this value is D, 1.0 x 10^-8 m, which is equivalent to 1.0 x 10^-7 cm.

If Radiation Has a Frequency of 3