Question

The speed of light in diamond is 1,24,000km/sec. Find the refractive index of diamond if the speed of light in air is 3,00,000km/sec.

Answer 1

Refractive index: the ratio of the velocity of light in a vacuum to its velocity in a specified medium.

n = (3,00,000 km/s) / (1,24,000 km/s)
n = 2.4

Answer 2

Sol.) Speed of light in diamond (Vd) = 1,24,000 km/sec

= 12,40,00,000 m/sec

Speed of light in air (Va) = 3,00,000 km/sec

= 30,00,00,000 m/sec

Refractive index (μ) = Speed of light in air vacuum/Speed of light in medium (diamond)

μ = Va/Vd

= 30,00,00,000/12,40,00,000

= 124/300

= 62/150

= 31/75

= 0.413 Ans.

Ans.) The refractive index of diamond is 0.413.