Explain refraction of plane wave with a thin prism.
Explain refraction of plane wave with a thin prism.
The figure shows the parallel beam is incident on a prism at a instant and its corresponding plane wavefront $\mathrm{A}_{1} \mathrm{~B}_{1} \cdot \mathrm{A}_{1} \mathrm{~B}_{1}$ is normal to rays and emergent beam is shown by $\mathrm{A}_{2} \mathrm{~B}_{2}$.
Here the length of the path from $\mathrm{B}_{1}$ to $\mathrm{B}_{2}$ is greater then the length of the path from $\mathrm{A}_{1}$ to $\mathrm{A}_{2}$.
In fact, the path from $\mathrm{A}_{1}$ to $\mathrm{A}_{2}$ in prism is larger than the path from $\mathrm{B}_{1}^{\prime}$ to $\mathrm{B}_{2}^{\prime}$.
The velocity of light in prism is less than the velocity in air hence it takes longer time for the light to go from $\mathrm{A}_{1}$ to $\mathrm{A}_{2}$. As a result, $\mathrm{A}_{2}$ is lagging behind point $\mathrm{B}_{2}$. So the emergent wavefront is slightly tilted.
Similar Questions
Explain plane wave refraction from denser to rarer medium using Huygen's principle.
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What is the shape of the wavefront in each of the following cases:
$(a)$ Light diverging from a point source.
$(b)$ Light emerging out of a convex lens when a point source is placed at its focus.
$(c)$ The portion of the wavefront of light from a distant star intercepted by the Earth.
What is the shape of the wavefront in each of the following cases:
$(a)$ Light diverging from a point source.
$(b)$ Light emerging out of a convex lens when a point source is placed at its focus.
$(c)$ The portion of the wavefront of light from a distant star intercepted by the Earth.
You have learnt in the text how Huygens’ principle leads to the laws of reflection and refraction. Use the same principle to deduce directly that a point object placed in front of a plane mirror produces a virtual image whose distance from the mirror is equal to the object distance from the mirror.
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On a hot summer night, the refractive index of air is smallest near the ground and increases with height from the ground. When a light beam is directed horizontally, the Huygens' principle leads us to conclude that as it travels, the light beam
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- [JEE MAIN 2015]
By Huygen's wave theory of light, we cannot explain the phenomenon of
By Huygen's wave theory of light, we cannot explain the phenomenon of