Question

A light wave has a frequency of 4×10^14Hz and a wavelength of 5×10 −7m meters in a medium. The refractive index of the medium is

Answer 1

Given,

Frequency, f = 4×10¹⁴ Hz

Wavelength, λ = 5×10⁻⁷m

To Find,

Refractive index of the medium.

Solution,

Velocity, v = f λ

v = 4×10¹⁴Hz × 5×10⁻⁷

v = 20×10⁷

Therefore, v = 2×10⁸

We can easily find the refractive index with this formula,

Refractive index = μ = $\frac{C}{V}$

Where μ stands for refractive index, c stands for the speed of light and v stands for velocity.

Now refractive index, μ = $\frac{3 * 10^{8} }{2 * 10^{8} } = 1.5$

Hence, the refractive index of the medium is 1.5.