The refractive indices of glass and water w-r-t- air are 312 - 413 respectively- If speed of light in glass is 2 - 10 to the power 8 find the speed of light inwater-

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Standard X

Physics

Refractive Index

The refractiv...

Question

The refractive indices of glass and water w.r.t. air are 3\2 & 4\3 respectively. If speed of light in glass is 2×10 to the power 8 find the speed of light in water.

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Solution

Actually, ng = 3/2 and nw = 4/3.

Absolute Refractive Index of a medium = Speed of light in vacuum/Speed of light in the medium

Speed of light in glass = 2 x 10^8 m/s
Speed of Light in Vacuum = (3/2) x 2 x 10^8 m/s = 3 x 10^8 m/s

Speed of light in water = (3 x 10^8 m/s)/(4/3)
= 2.25 x 10^8 m/s

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Q. The refractive indices of glass and water with respect to air are

\frac{3}{2}

and

\frac{4}{3}

respectively. If the speed of light in glass is

2 \times 10^{8} m / s

find the speed of light in water.

Q. The refractive indexes of glass and water with respect to air are 3/2 and 4/3 respectively. If speed of light is 2 x 10^8 m/s, find the speed of light in water.

(a) State the laws of refraction of light. Give an expression to relate the absolute refractive index of a medium with speed of light in vacuum.

(b) The refractive indices of water and glass with respect to air are $\frac{4}{3}$ and $\frac{3}{2}$ respectively. If the speed of light in glass is $2 \times 10^{8} m s^{- 1}$ , find the speed of light in (i) air, (ii) water

Solve:

(1) The speed of light in a transparent medium is 2.4 × 10⁸ m/s. Calculate absolute refractive index of the medium.

(2) The speed of light in water and glass is 2.2 × 10⁸ m/s and 2 × 10⁸ m/s, respectively. What is the refractive index of −

(a) water w.r.t. glass

(b) glass w.r.t. water.

(3) Refractive index of water is 4/3 and speed of light in air is 3×10⁸ m/s. Find speed of light in water.

Q. The speed of light in water and glass is 2.2

\times

^{8}

m/s and 2

\times

^{8}

m/s ,respectively. What is the refractive index of water w.r.t glass?

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The refractive indices of glass and water w.r.t. air are 3\2 & 4\3 respectively. If speed of light in glass is 2×10 to the power 8 find the speed of light in water.

Actually, ng = 3/2 and nw = 4/3. Absolute Refractive Index of a medium = Speed of light in vacuum/Speed of light in the medium Speed of light in glass = 2 x 10^8 m/s Speed of Light in Vacuum = (3/2) x 2 x 10^8 m/s = 3 x 10^8 m/s Speed of light in water = (3 x 10^8 m/s)/(4/3) = 2.25 x 10^8 m/s

Actually, ng = 3/2 and nw = 4/3.

Absolute Refractive Index of a medium = Speed of light in vacuum/Speed of light in the medium

Speed of light in glass = 2 x 10^8 m/s
Speed of Light in Vacuum = (3/2) x 2 x 10^8 m/s = 3 x 10^8 m/s

Speed of light in water = (3 x 10^8 m/s)/(4/3)
= 2.25 x 10^8 m/s