The refractive index of water is (4 / 3) and that of glass is (3 / 2).If the speed of light in glass is 2 × 108 m / s. The speed of light in water will be :

Question

The refractive index of water is (4 / 3) and that of glass is (3 / 2).If the speed of light in glass is 2 × 108 m / s. The speed of light in water will be : (A) 1 × 108 m / s (B) (9 / 4) × 108 m / s (C) (8 / 3) × 108 m / s (D) 4 × 108 m / s

Tardigrade Admin · Accepted Answer

(μ1/μ2)=(V1/V2) ⇒ ((3/2)/(4)3)=(C/2 × 108) C=(9/4) × 108

Q. The refractive index of water is $(4/3)$ and that of glass is $(3/2)$ .If the speed of light in glass is $2 \times 1 0^{8} m / s$ . The speed of light in water will be :

$1 \times 1 0^{8} m / s$

$(9/4) \times 1 0^{8} m / s$

$(8/3) \times 1 0^{8} m / s$

$4 \times 1 0^{8} m / s$

$\frac{μ _{1}}{μ _{2}} = \frac{V _{1}}{V _{2}}$
$\Rightarrow \frac{\frac{3}{2}}{\frac{4}{3}} = \frac{C}{2 \times 1 0 ^{8}}$
$C = \frac{9}{4} \times 1 0^{8}$

Q. The refractive index of water is (4/3) and that of glass is (3/2).If the speed of light in glass is 2×108m/s. The speed of light in water will be :

1×108m/s

(9/4)×108m/s

(8/3)×108m/s

4×108m/s