a) A beam of light is incident from air on the surface of aliquid. If the angle
ID: 1667797 • Letter: A
Question
a)A beam of light is incident from air on the surface of aliquid. If the angle of incidence is 40.0° and the angle ofrefraction is 31.0°, find the critical angle for the liquidwhen surrounded by air.
1° b) A light ray, traveling in air, strikes the surface of abeaker of mineral oil at an angle of 37.5o with thenormal to the surface. The speed of light in mineral oil is 2.17 x108 m/s.. Calculate the angle of refraction.
1o
a)
A beam of light is incident from air on the surface of aliquid. If the angle of incidence is 40.0° and the angle ofrefraction is 31.0°, find the critical angle for the liquidwhen surrounded by air.
1° b) A light ray, traveling in air, strikes the surface of abeaker of mineral oil at an angle of 37.5o with thenormal to the surface. The speed of light in mineral oil is 2.17 x108 m/s.. Calculate the angle of refraction.
1o
Explanation / Answer
Angle of incidence I = 40 degrees
Angle of refraction r= 31 degrees
From Snell’s law index of refraction of theliquid n = sin I / sin r
n= 1.248
So, critical angle C = sin -1 ( 1/ n)
= 53.25 degrees
(b). Angle of incidence I = 37.5 degrees
Speed of light in mineral v = 2.17 * 10 ^ 8 m / s
Speed of light in vaccum c = 3 * 10 ^ 8 m / s
Index of refraction of mineral n ‘ = c / v
= 1.382
We know n ‘ = sin I / sin r
From this sin r = sin I / n ‘
= sin 37.5 / 1.382
= 0.4403
So, angle of refraction r = 26.12 degrees
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