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Q.

For the same angle of incidence, the angles of refraction in three different media P, Q and R are 45°,35° and 15°respectively. In which medium, will the speed of light be minimum?

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a

P

b

Q

c

R

d

The speed of light will be the same in all P, Q and R medium

answer is C.

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Detailed Solution

The speed of light is minimum in R medium.
Assume that the medium has a refractive index of n and that air has a light speed of c.
Using the refraction law of Snell:
 Where n(air) = 1
    1×sin(i)  =n×sin(r)
                    n=sin(i)sin(r)
The velocity of light in a medium, V=cn
                                                     =c×sin(r)sin(i)
 sin(r)
Thus, Since R has the least angle of refraction, medium R has the lowest light velocity.

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For the same angle of incidence, the angles of refraction in three different media P, Q and R are 45°,35° and 15°respectively. In which medium, will the speed of light be minimum?