You shine light of frequency 4.00 $\times$ 10¹⁴Hz 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 formula to find the wavelength of light in a material with refractive index n is:

λ = λ0/n

where λ0 is the wavelength of light in vacuum.

In this case, the frequency of light is given as 4.00 × 10^14 Hz, which corresponds to a wavelength of:

λ0 = c/f = 3.00 × 10^8 m/s / 4.00 × 10^14 Hz = 7.50 × 10^-7 m = 750 nm

where c is the speed of light.

Using the formula above, we can find the wavelength of light in the glass:

λ = λ0/n = 750 nm / 1.50 = 500 nm

Therefore, the correct answer is C.

You Shine Light of Frequency 4 ×\times× 1014 Hz Through a Glass Plate Whose Index of Refraction

You Shine Light of Frequency 4 $\times$ 10¹⁴Hz Through a Glass Plate Whose Index of Refraction