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Standard XII

Physics

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A ray of ligh...

Question

A ray of light travelling in air is incident almost along y-axis on a medium of variable refractive index at the origin. The refractive index of the medium changes according to the relation $μ = 1 + x^{2}$ . What is the light ray vector at the point where the x coordinate becomes equal to 1?

(\frac{\sqrt{3}}{2}) i + (\frac{1}{2}) j

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(\frac{1}{2}) i + (\frac{\sqrt{3}}{2}) j

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(\frac{1}{\sqrt{2}}) i + (\frac{1}{\sqrt{2}}) j

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none of these

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Solution

The correct option is A $(\frac{\sqrt{3}}{2}) i + (\frac{1}{2}) j$
Consider the given opions ,taking option b and considering given condition that $x = 1$
$∴ | v | = {(\frac{1}{2})}^{2} + ({\frac{\sqrt{3}}{2})}^{2} = 1$

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Similar questions

Q. A system of coordinates is drawn in a medium whose refractive index varies as

μ = \frac{2}{1 + y^{2}}

, where

0 \leq y \leq 1

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Q. A light ray travels from medium 1 to medium 2 as shown in figure. The value of

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Q. A system of coordinates is drawn in a medium whose refractive index varies as

μ = \frac{2}{1 + y^{2}}

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and

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for

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as shown in figure. A ray of light is incident at origin at an angle

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with y - axis as shown in the figure. At point

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μ = \frac{2}{1 + y^{2}}

, where

0 \leq y \leq 1

and

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A ray of light is incident on medium 1 with a refractive index of 1 from a medium 2 with a refractive index of $\sqrt{2}$ . Find the deviation of the emergent ray in the given diagram (with respect to first incident ray).

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A ray of light travelling in air is incident almost along y-axis on a medium of variable refractive index at the origin. The refractive index of the medium changes according to the relation μ=1+x2. What is the light ray vector at the point where the x coordinate becomes equal to 1?

The correct option is A (√32)i+(12)jConsider the given opions ,taking option b and considering given condition that x=1∴|v|=(12)2+(√32)2=1

A ray of light travelling in air is incident almost along y-axis on a medium of variable refractive index at the origin. The refractive index of the medium changes according to the relation $μ = 1 + x^{2}$ . What is the light ray vector at the point where the x coordinate becomes equal to 1?

The correct option is A $(\frac{\sqrt{3}}{2}) i + (\frac{1}{2}) j$
Consider the given opions ,taking option b and considering given condition that $x = 1$
$∴ | v | = {(\frac{1}{2})}^{2} + ({\frac{\sqrt{3}}{2})}^{2} = 1$