Light propagates 2 cm distance in a glass of refractive index 1.5 in time t0 . In the same time t0 , light propagates a distance of 2.25 cm in a medium. The refractive index of the medium is

Question

Light propagates 2 cm distance in a glass of refractive index 1.5 in time t0 . In the same time t0 , light propagates a distance of 2.25 cm in a medium. The refractive index of the medium is (A) (4/3) (B) (3/2) (C) (8/3) (D) None of these

Tardigrade Admin · Accepted Answer

For a given time, optical path remains constant ∴ μ 1 x1 = μ 2 x2 textor 1 text. 5 × 2 = μ 2 × 2 text. 2 5 ∴ μ 2 = (1 text. 5 × 2/2 text. 2 5) = (2/1 text. 5) = (2 0/1 5) = (4/3)

Q. Light propagates $2 c m$ distance in a glass of refractive index $1.5$ in time $t_{0}$ . In the same time $t_{0}$ , light propagates a distance of $2.25 c m$ in a medium. The refractive index of the medium is

$\frac{4}{3}$

$\frac{3}{2}$

$\frac{8}{3}$

None of these

For a given time, optical path remains constant
$∴ μ_{1} x_{1} = μ_{2} x_{2}$
$or 1.5 \times 2 = μ_{2} \times 2.25$
$∴ μ_{2} = \frac{1 . 5 \times 2}{2 . 25} = \frac{2}{1 . 5} = \frac{20}{15} = \frac{4}{3}$

Q. Light propagates 2cm distance in a glass of refractive index 1.5 in time t0​ . In the same time t0​ , light propagates a distance of 2.25cm in a medium. The refractive index of the medium is

34​

23​

38​