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प्रश्न
Four students P, Q, R and S traced the path of a ray of light passing through a glass slab for an angle of incidence 40° and measured the angle of refraction. The values as measured them were 18°; 22°; 25° and 30° respectively. The student who has performed the experiment methodically is
(A) P
(B) Q
(C) R
(D) S
उत्तर
The student R has performed the experiment methodically. The reason can be explained using Snell's law.
According to Snell's law,
`sini/sinr=mu_g`
Here,
i = Angle of incidence
r = Angle of refraction
μg = Refractive index for glass
The angle of refraction measured by student R is most appropriate as it verifies the Snell's law.
Given:-
i = 40o
The angle of refraction measured by student R, r = 25o.
Also,
sin40o = 0.642
sin25o = 0.422
Now,
`(sin40^@/sin25^@)=0.642/0.422=1.52`
The refractive index for glass is 1.5; it verifies the result derived above.
Hence, the correct option is C.
Disclaimer: The values of sin40o and sin25o can be obtained using trigonometric tables.
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