A light wave travels from air into a medium of refractive index is 1.54,if the wave lenght of the light in air is 5.40×10^-7. Calculate its wave lenght in the medium

Answer 1

To calculate the wavelength of light in the medium, we use the formula:

n1 * λ1 = n2 * λ2

Where:
n1 = refractive index of air = 1
λ1 = wavelength of light in air = 5.40×10^-7
n2 = refractive index of the medium = 1.54
λ2 = wavelength of light in the medium (unknown)

Plugging in the values:

1 * 5.40×10^-7 = 1.54 * λ2

5.40×10^-7 = 1.54 * λ2

Now, solve for λ2:

λ2 = 5.40×10^-7 / 1.54
λ2 = 3.5065 × 10^-7

Therefore, the wavelength of the light in the medium is 3.5065 × 10^-7 or 3.51 × 10^-7 m.