Answer:
The angle of refraction for the ray moving through the liquid is = 32.3°
Explanation:
Refractive index of liquid (n₁/n₂) = sini/sinr
∴ n₁/n₂ = sini/sinr ................ equation 1
n₁ = index of refraction for glass, n₂ = index of refraction for liquid
Where i = incident angle of the first medium, r = angle of refraction or angle in the second medium.
Since the light ray is traveling from glass - to - liquid, the first medium is glass and the second medium is liquid. and the refractive index will be that liquid with respect to glass.
using the equation,
n₁/n₂ = sini/sinr
i = 35° , n₁ = 1.52, n₂= 1.63
Making sinr the subject of the equation above,
sinr = sini/(n₁/n₂)
sinr = sin35(1.52)/1.63
sinr =0.574(1.52)/1.63
sinr = 0.535
Taking the sin inverse of both side of the equation
sin⁻¹(sinr) = sin⁻¹(0.535)
∴ r = 32.3°
The angle of refraction for the ray moving through the liquid is = 32.3°
The right option is (b). 32.3°
