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Two concave mirrors are placed 40 cm apart and facing each other. A point object lies between them at a distance of 12 cm from the mirror of focal length 10 cm. The other mirror has a focal length of 15 cm. Find the location of final image formed after two reflections- first at the mirror nearer to the object and second at the other mirror.

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Important Questions on Ray Optics

EASY
Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
An object is placed at a distance of 40 cm in front of a concave mirror of focal length 20 cm. The image produced is
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Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
An object is gradually moving away from the focal point of a concave mirror along the axis of the mirror. The graphical representation of the magnitude of linear magnification m versus distance of the object from the mirror x is correctly given by
(Graphs are drawn schematically and are not to scale)
MEDIUM
Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors

A spherical mirror is obtained as shown in the figure from a hollow glass sphere, if an object is positioned in front of the mirror, what will be the nature and magnification of the image of the object? (Figure down as schematic and not to scale)

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EASY
Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
For a real object, which of the following can produce a real image?
HARD
Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
A concave mirror of radius of curvature R has a circular outline of radius r. A circular disc is to be placed normal to the axis at the focus so that it collects all the light that is reflected from the mirror from a beam parallel to the axis. For r≪R , the area of this disc has to be at least
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Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
An object, is placed 60 cm in front of a convex mirror of focal length 30 cm. A plane mirror is now placed facing the object in between the object and the convex mirror such that it covers lower half of the convex mirror. What should be the distance of the plane mirror from the object, so that there will be no parallax between the images formed by the two mirrors?
MEDIUM
Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
When an object is kept at a distance of 30 cm from a concave mirror, the image is formed at a distance of 10 cm from the mirror. If the object is moved with a speed of 9 cm s-1 , the speed (in cm s-1) with which image moves at that instant is
EASY
Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
The focal length f is related to the radius of curvature r of the spherical convex mirror by:
HARD
Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors

A hemispherical glass body of radius 10 cm and refractive index 1.5 is silvered on its curved surface. A small air bubble is 6 cm below the flat surface inside it along the axis. The position of the image of the air bubble made by the mirror is seen :

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HARD
Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
A concave mirror has radius of curvature of 40 cm. It is at the bottom of a glass that has water filled up to 5 cm (see figure). If a small particle is floating on the surface of water, its image as seen, from directly above the glass, is at a distance d from the surface of water. The value of d is close to: (Refractive index of water =1.33)
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EASY
Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
An object is placed at the focus of a convex mirror. The image will be at
MEDIUM
Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
A 1 cm height needle is placed at a distance of 0.1 m from a convex mirror of focal length 0.05 m, then size of the image is
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Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
A concave mirror gives an image three times as large as its object placed at a distance of 20 cm from it. For the image to be real, the focal length should be
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Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
Match the corresponding entries of column 1 with column 2. [Where m is the magnification produced by the mirror]
  Column 1   Column 2
(A) m=-2 (a) Convex mirror
(B) m=-12 (b) Concave mirror
(C) m=+2 (c) Real image
(D) m=+12 (d) Virtual image
EASY
Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
A short straight object of height 100 cm lies before the central axis of a spherical mirror whose focal length has absolute value f=40 cm. The image of object produced by the mirror is of height 25 cm and has the same orientation of the object. One may conclude from the information:
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Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
When an object is placed between pole and focus of a concave mirror, then the images formed are
EASY
Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
If a parallel beam of light is incident on convex as well as concave mirror then after reflection they pass through focal point. If f is the focal length and R is the radius of curvature of a mirror then for both the mirrors
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Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
A concave mirror for face viewing has a focal length of 0.4 m. The distance at which you hold the mirror from your face in order to see your image upright with a magnification of 5 is
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Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
In a car a rear view mirror having a radius of curvature 1.50 m forms a virtual image of a bus located 10.0 m from the mirror. The factor by which the mirror magnifies the size of the bus is close to
MEDIUM
Physics>Optics>Ray Optics>Reflection of Light at Spherical Mirrors
You are asked to design a shaving mirror assuming that a person keeps it at 10 cm from his face and views the magnified image of the face at the closest comfortable distance of 25 cm. The radius of curvature of the mirror would then be: