Question

For the same angle of incidence in media a,b and c, the angles of refraction are 200 , 300 and 400 respectively. In which medium will the velocity of light be maximum? Give reason in support of your answer.

Answer 1

From the Formula, Refractive Index = Sini/Sinr

where Sin i is the sine of the angle of incidence and Sin r is the sine of the angle of refraction.

Since, as per as the question, angle of incidence is same, this means Sin i is also the same. This also meant that angle of the Refraction is changed due to the Refractive index only.

Both are inversely proportional to each other, since sin i is constant.

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There is a little mistake in the question, angle cant be 200, it will be 20 degree and others.

The Angle of Refraction of Medium ''a'' is  20°, The Angle of Refraction of Medium ''b'' is 30° and The Angle of Refraction of Medium ''c'' is : 40°

Refractive index will be greatest for the medium having an less angle of Refraction.

therefore, a > b > c, it will be the order of decreasing refractive index.

Now, Refractive index greater means the less velocity of light and vice versa.

∴ Velocity of Light in ''c'' > Velocity of Light in ''b'' > Velocity of Light in ''a''.

So, the Answer is Velocity of Light will be Maximum in Medium ''c''.

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Hope it helps.

Answer 2

• Refractive index will be greatest for the medium having an less angle of Refraction.

• therefore, a > b > c, it will be the order of decreasing refractive index.

• Now, Refractive index greater means the less velocity of light and vice versa.

• ∴ Velocity of Light in ''c'' > Velocity of Light in ''b'' > Velocity of Light in ''a''.

• So, the Answer is Velocity of Light will be Maximum in Medium ''c''.

                                          HOPE IT HELPED....:)