# A point source of light B is placed at a distance L in front of the centre of a mirror of width d hung vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror at a distance 2L from it as shown. The greatest distance over which he can see the image of the light source in the mirror is                         (1) d/2                                      (2) d (3) 2d                                        (4) 3d

Subtopic:  Reflection at Plane Surface |
55%
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Two plane mirrors, $$A$$ and $$B$$ are aligned parallel to each other, as shown in the figure. A light ray is incident at an angle of $$30^\circ$$ at a point just inside one end of $$A$$. The plane of incidence coincides with the plane of the figure. The maximum number of times the ray undergoes reflections (excluding the first one) before it emerges out is:

1. $$28$$
2. $$30$$
3. $$32$$
4. $$34$$

Subtopic:  Reflection at Plane Surface |
72%
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A concave mirror of focal length $$100$$ cm is used to obtain the image of the sun which subtends an angle of $$30'.$$ The diameter of the image of the sun will be:
1. $$1.74$$ cm
2. $$0.87$$ cm
3. $$0.435$$ cm
4. $$100$$ cm

Subtopic:  Reflection at Spherical Surface |
52%
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A square of side $$3$$ cm  is placed at a distance of $$25$$ cm from a concave mirror of focal length $$10$$ cm. The centre of the square is at the axis of the mirror and the plane is normal to the axis. The area enclosed by the image of the square is:
 1 $$4~\text{cm}^2$$ 2 $$6~\text{cm}^2$$ 3 $$16~\text{cm}^2$$ 4 $$36~\text{cm}^2$$
Subtopic:  Reflection at Spherical Surface |
57%
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A ray of light falls on the surface of a spherical glass paperweight making an angle $\alpha$ with the normal and is refracted in the medium at an angle $\beta$ . The angle of deviation of the emergent ray from the direction of the incident ray

(a) $\left(\alpha -\beta \right)$                     (b) $2\left(\alpha -\beta \right)$

(c) $\left(\alpha -\beta \right)/2$                 (d) $\left(\beta -\alpha \right)$

Subtopic:  Refraction at Curved Surface |
62%
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Light enters at an angle of incidence in a transparent rod of refractive index n. For what value of the refractive index of the material of the rod the light once entered into it will not leave it through its lateral face what so ever be the value of angle of incidence

(1) $n>\sqrt{2}$

(2) $n=1$

(3) $n=1.1$

(4) $n=1.3$

Subtopic:  Total Internal Reflection |
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One face of a rectangular glass plate 6 cm thick is silvered. An object held 8 cm in front of the first face, forms an image 10 cm behind the silvered face. The refractive index of the glass is [Consider that light ray returns back in the first medium]

(1) 0.4

(2) 0.8

(3) 1.5

(4) 1.6

Subtopic:  Refraction at Plane Surface |
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Two transparent slabs have the same thickness as shown. One is made of material A of refractive index 1.5. The other is made of two materials B and C with thickness in the ratio 1:2. The refractive index of C is 1.6. If a monochromatic parallel beam passing through the slabs has the same number of waves inside both, the refractive index of B is

1.  1.1

2.  1.2

3.  1.3

4.  1.4

Subtopic:  Refraction at Plane Surface |
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The image of point P when viewed from the top of the slabs will be

(1)   2.0 cm above P

(2)   1.5 cm above P

(3)   2.0 cm below P

(4)   1 cm above P

Subtopic:  Refraction at Plane Surface |
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Two point light sources are $$24$$ cm apart. Where should a convex lens of focal length $$9$$ cm be put in between them from one source so that the images of both the sources are formed at the same place?
 1 $$6$$ cm 2 $$9$$ cm 3 $$12$$ cm 4 $$15$$ cm
Subtopic:  Lenses |
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