Physics Test 176

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Physics Test 176

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Weekly Quiz Competition

Question 1
4 / -1

A uniform, horizontal parallel beam of light is incident upon a prism as shown. The prism is in the shape of a quarter cylinder, of radius R = 5 cm, and has the index of refraction n = 5/3. The width of the region at which the incident rays after normal incidence on plane surface and subsequent refraction at curved surface intersect on x axis is (Neglect the ray which travels along x-axis as shown in figure)

A
4 cm

B
5/4 cm

C
9/4 cm

D
25/4cm

Solution
Question 2
4 / -1

Inside a solid glass sphere of radius R , a point source of light lies at a distance x ( x < R) from centre of the sphere. The solid sphere is surrounded by air of refractive index 1. The maximum angle of incidence for rays incident on the spherical glass- air interface directly from the point source is:

A

B

C

D

Solution

Let O be the centre and A be the point source for ray incident at any point P thus for maximum angle of incidence i,
Question 3
4 / -1

Two transparent slabs are of equal length (thickness). One is made of a material A of R.I. 1.5 and the other is made of materials B and C, the ratio of their thickness being 1: 2. The R.I. of C is 1.6. When light passes through them, the two slabs have the same number of waves. The R.I. of B is (Light is incident normally)

A
1.4

B
1.3

C
1.1

D
1.05

Solution
Question 4
4 / -1

An object moves in front of a fixed plane mirror. The velocity of the image of the object is

A
Equal in the magnitude and in the direction to that of the object.

B
Equal in the magnitude and opposite in direction to that of the object.

C
Equal in the magnitude and the direction will be either same or opposite to that of the object.

D
Equal in magnitude and makes any angle with that of the object depending on direction of motion of the object.

Solution

When object moves normal to the mirror, image velocity will be opposite to it. when object moves parallel to the mirror, image velocity will be in the same direction.
Question 5
4 / -1

An object and a plane mirror are shown in figure. Mirror is moved with velocity V as shown. The velocity of image is :

A
2 V sinθ

B
2 V

C
2 V cosθ

D
None of these

Solution
Question 6
4 / -1

The rainbow formed after or during the rain is due to

A
total internal reflection of sunlight by rain drops suspended in air

B
total internal reflection and dispersion of sunlight by the water drops suspended in air

C
interference of light

D
defect of eye

Solution

Due to T.I. R., light is returned back and due to dispersion light splitted into different colors.
Question 7
4 / -1

In the figure ABC is the cross section of a right angled prism and BCDE is the cross section of a glass slab. The value of θ so that light incident normally on the face AB does not cross the face BC is (given sin^–1 (3/5) = 37º)

A

B

C

D

Solution
Question 8
4 / -1

In the diagram shown, light is incident on the interface between media 1 (refractive index n₁) and 2 (refractive index n₂) at angle slightly greater than the critical angle and is totally reflected. The light is then also totally reflected at the interface between media 1 and 3 (refractive index n₃) after which it travels in a direction opposite to its initial direction. The media must have a refractive indices such that

A

B

C

D

Solution

Let the critical angle of interface between media 1 and 2 is c₁ and between 1 and 3 is C₂
Question 9
4 / -1

A transparent cylinder has its right half polished so as to act as a mirror. A paraxial light ray is incident from left, that is parallel to principal axis, exits parallel to the incident ray as shown. The refractive index n of the material of the cylinder is :

A
1.2

B
1.5

C
1.8

D
2.0

Solution
Question 10
4 / -1

If a prism having refractive √2 index, has angle of minimum deviation equal to the angle of refraction of the prism, then the angle of refraction of the prism is:

A
30º

B
45º

C
60º

D
90º

Solution