EASY
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Select the correct graph between 1u and 1v for a concave mirror in the condition when real image is formed.

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Important Questions on Ray Optics

EASY
A concave mirror of focal length 15 cm, forms an image having twice the linear dimensions of the object. The position of the object, when the image is virtual, will be
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
MEDIUM

A point object is moving uniformly towards the pole of a concave mirror of focal length 25 cm along its axis as shown below. The speed of the object is 1 ms-1. At t=0, the distance of the object from the mirror is 50 cm. The average velocity of the image formed by the mirror between time t=0 and t=0.25 s is:

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MEDIUM
An object is placed on the principal axis of a concave mirror at a distance of 1.5f (f is the focal length). The image will be at,
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
MEDIUM

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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HARD
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)
HARD
A candle placed 25 cm from a lens forms an image on the screen placed 75 cm on the other side of the lens. The focal length and type of the lens should be
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
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
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
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:
HARD
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
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
For a real object, which of the following can produce a real image?
EASY
An object is placed at a distance of 20 cm from the pole of a concave mirror of focal length 10 cm. The distance of the image formed is
EASY
An object is placed at the focus of a convex mirror. The image will be at
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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MEDIUM
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
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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