You shine light of frequency 4.00 × 10¹⁴ Hz through a glass plate whose index of refraction for this light is 1.50. The wavelength of this light in the glass is approximately A) 500 nm. B) 110 nm. C) 800 nm. D) 425 nm. E) 380 nm.

Question

Quizplus · Accepted Answer

The wavelength of light in a medium is given by the equation:$$\lambda = \frac{c}{n
u}$$where:* $\lambda$ is the wavelength in meters* $c$ is the speed of light in a vacuum (3.00 x 10^8 m/s)* $n$ is the index of refraction of the medium* $
u$ is the frequency of the light in HzSubstituting the given values into the equation, we get:$$\lambda = \frac{3.00 	imes 10^8 	ext{ m/s}}{1.50 	imes 4.00 	imes 10^{14} 	ext{ Hz}} = 5.00 	imes 10^{-7} 	ext{ m} = 500 	ext{ nm}$$Therefore, the wavelength of the light in the glass is approximately 500 nm.

You Shine Light of Frequency 4