What is the wavelength, in nanometers, of a photon of light whose frequency is 5.40 × 10¹⁴ Hz? A) 1.19 × 10^-7 nm B) 2.72 × 10² nm C) 5.56 × 10² nm D) 1.80 × 10² nm E) 3.68 × 10² nm

Question

Quizplus · Accepted Answer

The formula relating wavelength ($\lambda$), frequency ($
u$), and speed of light ($c$) is $\lambda = \frac{c}{
u}$. Plugging in the given frequency of $5.40 	imes 10^{14}$ Hz and the speed of light ($3.00 	imes 10^8$ m/s), we get $\lambda = \frac{3.00 	imes 10^8	ext{ m/s}}{5.40 	imes 10^{14}	ext{ Hz}} 	imes 10^9	ext{ nm/m}= 5.56 	imes 10^{-7}	ext{ nm}$. Therefore, the answer is choice (C).

What Is the Wavelength, in Nanometers, of a Photon of Light