Question

derive an expression for refraction at a single curved surface.​

Answer 1

Answer:

Refraction at Spherical Surface

Let us now see the refraction of light at the spherical surface. Now, the change in direction or bending of a light wave passing from one transparent medium to another caused by the change in wave’s speed is the Refraction. Suppose the above figure is a spherical surface. There is one medium with refractive index n1 and second medium with refractive index n2.

There is an object O and a ray of light from the object O is incident on the spherical mirror. Since it is moving from a rarer medium to a denser medium, the ray bends towards the normal. An image is formed and radius of curvature of a spherical surface is R with the center C of the spherical surface.

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Answer 2

expression for refraction at a single curved surface.​

• Let us now see the refraction of light at the spherical surface. Now, the change in direction or bending of a light wave passing from one transparent medium to another caused by the change in wave’s speed is the Refraction.

• Suppose the above figure is a spherical surface. There is one medium with refractive index n1 and second medium with refractive index n2.There is an object O and a ray of light from the object O is incident on the spherical mirror.
• There is an object O and a ray of light from the object O is incident on the spherical mirror.
• Please find the expression in given image: