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# Test: Refraction By Spherical Surfaces

## 5 Questions MCQ Test Physics Class 12 | Test: Refraction By Spherical Surfaces

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This mock test of Test: Refraction By Spherical Surfaces for Class 12 helps you for every Class 12 entrance exam. This contains 5 Multiple Choice Questions for Class 12 Test: Refraction By Spherical Surfaces (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Refraction By Spherical Surfaces quiz give you a good mix of easy questions and tough questions. Class 12 students definitely take this Test: Refraction By Spherical Surfaces exercise for a better result in the exam. You can find other Test: Refraction By Spherical Surfaces extra questions, long questions & short questions for Class 12 on EduRev as well by searching above.
QUESTION: 1

### A ray of light going from denser to rarer medium suffers refraction at a concave surface. Which of the following relations is correct?

Solution:

Solution :

The correct option is Option A.

Laws of refraction;-

The incident ray,the refracted ray and the normal to the refracting surface at the point of incidence lie in the same plane.

For a given pair of media and for a given colour of light the ration between the sine of angle of incidence to the sine of refraction is a constant.This constant is known as refractive index of the second medium with respect to the first medium.

When a ray of light passes through a glass slab, ∠i,∠r and the normal all lie in the same plane.

When a ray of light passes from one medium to another, here from air to glass or glass to air, the ratio sini / sinr = constant. QUESTION: 2

### For a plane surface, the formula becomes

Solution:

Explanation : For plane surface,

Radius of curvature will be infinity.

Putting this in formula for refraction at single curved surface,

n2/v - n1/u = (n2-n1)/R

n2/v - n1/u = (n2-n1)/∞

n2/v - n1/u = 0

n2/v = n1/u

v/u = n2/n1

n2/n1=v/u

Hence solved n2/n1=v/u for plain surface.

QUESTION: 3

### Consider a curved surface between two different media with refractive indices n1 = 1 and n2 = 2. The relation between radius of curvature, image distance and object distance is given by

Solution:

The relation between radius of curvature, image distance and object distance is given by
n2/v-n1/u=n2-n1
un2-vn2/vu=n2-n1/R
R=vu(n2-n2)/un2-vn2
=uv(2)/u(2)-v(1)
=[uv/2u-v)

QUESTION: 4

In the adjoining figure, SS is a spherical surface separating two media of refractive indices n1 and n2 where n1 > n2. C is the centre of curvature of the spherical surface. An observer, keeping his eye beyond C in the medium of refractive index n2 views the refracted image of an object AB placed as shown in the medium of refractive index n1. The image will be: Solution:
QUESTION: 5

A thick plano convex lens made of crown glass (refractive index 1.5) has a thickness of 3cm at its centre. The radius of curvature of its curved face is 5cm. An ink mark made at the centre of its plane face, when viewed normally through the curved face, appears to be at a distance ‘x’ from the curved face. Then, x is equal to: Solution: