HARD
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Explain formation of images by convex and concave mirrors for different object position. Show the size, position and nature of image by ray diagrams.

Important Questions on Reflection of Light

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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EASY
For a real object, which of the following can produce a real image?
EASY
A concave mirror produces an image of a long vertical pin, placed 40 cm from the mirror, at the position of the object. Find the focal length of the mirror (in cm). 
 
EASY
An object is kept on the principal axis of a concave mirror of focal length 10 cm, at a distance of 15 cm from its pole. The image formed by the mirror 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
A real, inverted and equal in size image is formed by
MEDIUM
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
MEDIUM
With the help of a neat ray diagram, derive the relationship between the focal length, the object distance and the image distance for a concave mirror. A concave mirror is first kept in a medium of refractive index 1.33 and then in another medium of refractive index 1.4. What will be the change in its focal length?
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
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

Where will you keep an object in front of a concave mirror to get a real and diminished image?

HARD
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 rR , the area of this disc has to be at least
EASY

5 cm long object is placed in front of a concave mirror of radius of curvature 40 cm. The distance of object from mirror is 40 cm. Find the distance and size of the image.

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MEDIUM
When an object is placed between pole and focus of a concave mirror, then the images formed are
MEDIUM

Arrive at the relation between the focal length and radius of curvature of a spherical concave mirror.

MEDIUM
What is the type of nature of image formed for an object placed an axis of concave mirror between pole and centre?
MEDIUM

An object 'O' is placed at a distance of 100 cm in front of a concave mirror of radius of curvature 200 cm as shown in the figure. The object starts moving towards the mirror at a speed 2 cm s-1. The position of the image from the mirror after 10 s will be at _____ cm.

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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

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
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: