# 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 $30°$ 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 |
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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.

2.

3.

4.

Subtopic:  Reflection at Spherical 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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A rod of glass ($\mu$ = 1.5) and of the square cross-section is bent into the shape as shown. A parallel beam of light falls on the plane flat surface A as shown in the figure. If d is the width of a side and R is the radius of a circular arc then for what maximum value of $\frac{d}{\mathrm{R,}}$ light entering the glass slab through surface A will emerge from the glass through B?

1. 1.5
2. 0.5
3. 1.3
4. None of these

Subtopic:  Total Internal Reflection |
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A diverging beam of light from a point source S having divergence angle $\alpha$, falls symmetrically on a glass slab as shown. The angles of incidence of the two extreme rays are equal. If the thickness of the glass slab is t and the refractive index n, then the divergence angle of the emergent beam is :

1. Zero

2. $\alpha$

3. ${\mathrm{sin}}^{-1}\left(1/n\right)$

4. $2{\mathrm{sin}}^{-1}\left(1/n\right)$

Subtopic:  Refraction at Plane Surface |
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The slab of a refractive index material equal to 2 shown in the figure has a curved surface APB of a radius of curvature of 10 cm and a plane surface CD. On the left of APB is air and on the right of CD is water with refractive indices as given in the figure. An object O is placed at a distance of 15 cm from pole P as shown. The distance of the final image of O from P as viewed from the left is:

1. 20 cm

2. 30 cm

3. 40 cm

4. 50 cm

Subtopic:  Refraction at Curved Surface |
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The distance between a convex lens and a plane mirror is 10 cm. The parallel rays incident on the convex lens, after reflection from the mirror form image at the optical centre of the lens. Focal length of the lens will be:

1. 10 cm

2. 20 cm

3. 30 cm

4. Cannot be determined

Subtopic:  Lenses |
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The graph between u and v for a convex mirror is:

 1 2 3 4
Subtopic:  Reflection at Spherical Surface |
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A luminous object is placed at a distance of 30 cm from the convex lens with a focal length of 20 cm. On the other side of the lens, at what distance from the lens, a convex mirror with a radius of curvature of 10 cm be placed in order to have an upright image of the object coincident with it?
1. 12 cm

2. 30 cm

3. 50 cm

4. 60 cm

Subtopic:  Lenses |
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A point object is moving on the principal axis of a concave mirror of focal length 24 cm towards the mirror. When it is at a distance of 60 cm from the mirror, its velocity is 9 cm/sec. What is the velocity of the image at that instant?

1. 5 cm/sec towards the mirror

2. 4 cm/sec towards the mirror

3. 4 cm/sec away from the mirror

4. 9 cm/sec away from the mirror

Subtopic:  Reflection at Spherical Surface |
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