Refractive index of water and glass are 4 / 3 3 / 2 respectively. A ray of light travelling in water is incident on the water glass interface at 30° . Calculate the angle of refraction.

Question

Refractive index of water and glass are 4 / 3 3 / 2 respectively. A ray of light travelling in water is incident on the water glass interface at 30° . Calculate the angle of refraction. (A) 30° (B) 25° (C) 26.380 (D) 270

Tardigrade Admin · Accepted Answer

a μw=(4/3),a μg=(3/2) w μg=( a μg/ a μw)=((3/2)/4 / 3)=(9/8) ( sin i/ sin r)= w μg=(9/8) sin r=(8/9) × (1/2) sin r=(4/9) r=26.380

Q. Refractive index of water and glass are $4/3&3/2$ respectively. A ray of light travelling in water is incident on the water glass interface at $3 0^{\circ} .$ Calculate the angle of refraction.

$3 0^{\circ}$

$2 5^{\circ}$

$26.3 8^{0}$

$2 7^{0}$

$^{a} μ_{w} = \frac{4}{3},^{a} μ_{g} = \frac{3}{2}$
$^{w} μ_{g} = \frac{^{a} μ _{g}}{^{a} μ _{w}} = \frac{\frac{3}{2}}{4/3} = \frac{9}{8}$
$\frac{s i n i}{s i n r} =^{w} μ_{g} = \frac{9}{8}$
$sin r = \frac{8}{9} \times \frac{1}{2}$
$sin r = \frac{4}{9}$
$r = 26.3 8^{0}$

Q. Refractive index of water and glass are 4/3&3/2 respectively. A ray of light travelling in water is incident on the water glass interface at 30∘. Calculate the angle of refraction.

30∘

25∘

26.380

270