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Standard XII

Physics

Refraction at a Spherical Surface

For refractio...

Question

For refraction at a curved surface; the u.v relationship is:
$\frac{μ_{2}}{v} - \frac{μ_{1}}{u} = \frac{μ_{2} - μ_{1}}{R}$

μ_{2}

: Refractive index of the medium of refracted ray

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μ_{1}

: Refractive index of the medium of incident ray

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R: Radius of curvature of the refractive surface.

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R is always positive

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Solution

The correct option is C R: Radius of curvature of the refractive surface.
We can see from the diagram that $μ_{2}$ is the refractive index of the medium in which the refraction takes place and $μ_{1}$ is the refractive index of the medium, from where the light is incident on the surface.
R is the radius of curvature of the refracting surface. It is positive for a convex surface and negative for a concave surface.

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Similar questions

Q. For refraction at a curved surface; the u.v relationship is:

\frac{μ_{2}}{v} - \frac{μ_{1}}{u} = \frac{μ_{2} - μ_{1}}{R}

Q. For refraction at a curved surface, the u-v relationship is:

\frac{μ_{2}}{v} - \frac{μ_{1}}{u} = \frac{μ_{2} - μ_{1}}{R}

A plane-convex lens fits exactly into a plane-concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials of refractive index $μ_{1}$ and $μ_{2}$ and R is the radius of curvature of the curved surface of the lenses, then the focal length of the combination is

Q. A plano convex lens fits exactly into a plano concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials of refractive index

μ_{1}

and

μ_{2}

and R is the radius of curvature of the curved surfaces of the lenses, then the focal length of the combination is:

Q. A right angled prism of refractive index

μ_{1}

is placed in a rectangular block of refractive index

μ_{2}

, which is surrounded by a medium of refractive index

μ_{3},

as shown in the figure. A ray of light

^{'} e^{'}

enters the rectangular block at normal incidence. Depending upon the relationship between

μ_{1}, μ_{2}

and

μ_{3},

it takes one of the four possible paths

^{'} e f^{'},^{'} e g^{'},^{'} e h^{'}

^{'} e i^{'}

Match the paths in

List -I

with conditions of refractive indices in

List -II

and choose the correct answer.
List - I List - II

$(P) e \to f$	$(1) μ_{1} > \sqrt{2} μ_{2}$
$(Q) e \to g$	$(2) μ_{2} > μ_{1} & μ_{2} > μ_{3}$
$(R) e \to h$	$(3) μ_{1} = μ_{2} = μ_{3}$
$(S) e \to i$	$(4) μ_{2} < μ_{1} < \sqrt{2} μ_{2} & μ_{2} > μ_{1}$

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For refraction at a curved surface; the u.v relationship is: μ2v−μ1u=μ2−μ1R

For refraction at a curved surface; the u.v relationship is:
$\frac{μ_{2}}{v} - \frac{μ_{1}}{u} = \frac{μ_{2} - μ_{1}}{R}$