Question

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

500 nm.

110 nm.

800 nm.

425 nm.

380 nm.

Answer 1

Given that frequency of light = 4.00*10^14 Hz

So wavelength of light in air will be:

= c/f

c = speed of light in air = 3.00*10^8 m/s

So,

= 3.00*10^8/(4.00*10^14) = 7.5*10^-7 m = 750 nm

Now wavelength of light in a medium will be given by:

1 = /n

n = refractive index of glass = 1.50

1 = 750 nm/1.50

1 = 500 nm

Correct option is A.