EASY
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The focal length of a spherical mirror is the distance between its principal focus and pole.

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Important Questions on Reflection of Light

MEDIUM

A point source of light, S is placed at a distance L in front of the center of plane mirror of width d which is hanging vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror, at a distance 2L as shown below. The distance over which the man can see the image of the light source in the mirror is:

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EASY
Which type of mirror is used by a dentist?
MEDIUM
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
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
EASY

A ray of light parallel to the principal axis of a spherical mirror falls at a point M as shown in the figure below:

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If the mirror is immersed in water, its focal length _____.

MEDIUM
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:
EASY
A ray of light makes an angle of 50° with the surface S1 of the glass slab. Its angle of incidence will be 
MEDIUM
To find the focal length of a convex mirror, a student records the following data:
Object pin Convex Lens Convex Mirror Image Pin
22.2 cm 32.2 cm 45.8 cm 71.2 cm
The focal length of the convex lens is f1 and that of mirror is f2 . Then taking index correction to be negligibly small, f1 and f2 are close to:
EASY
A convex mirror is placed inside water. Will its focal length change?
EASY
An object is placed 5 cm in front of convex mirror whose radius of curvature is 3 cm. Find the position and nature of image.
HARD
A ray of light, travelling in the direction 12i^+3 j^, is incident on a plane mirror. After reflection, it travels along the direction 12i^-3 j^. The angle of incidence is
EASY
Establish the relation between the focal length f and radius of curvature R
EASY
A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a spot on a scale placed just above the source L. When the mirror is rotated through a small angle θ, the spot of the light is found to move through a distance y on the scale. The angle θ is given by
HARD
A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length f , as shown in the figure. Which of the figures shown in the four options qualitatively represent(s) the shape of the image of the bent wire? (These figures are not to scale.)
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HARD

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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MEDIUM
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
HARD
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
Define the radius of curvature of a spherical mirror.
EASY
Find focal length of a spherical mirror of radius of curvature 10cm.
HARD
Define focal length of a concave mirror. Prove that the radius of curvature of a concave mirror is double its focal length.