A ray falls on a prism ABC (AB=BC) and travels as shown in figure . if refractive index of glass with respect to air is 1.5, find Sin r
Answers
Sin r = √2 / 3
Explanation:
=> Here, refractive index of glass with respect to air = 1.5
But, Refractive index, n = sin 45° / sin r
1.5 = 1/√2 / sin r
∴ sin r = 1/√2 * 1/1.5
sin r = 1/√2 * 1/(3/2) (∵ 1.5 = 3/2)
= 1/√2 * 2/3
= 1/√2 * √2√2/3 (∵2 = √2√2)
= √2/3
Thus, the value of sin r is √2/3.
Learn more:
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