When an object is placed at a distance of 60 cm from a convex mirror, the magnification produced is 1 2 . Where should the object be placed to obtain a magnification of 1 3 ?

Given, The initial object distance, u 1 = - 60 cm , the initial magnification, m 1 = 1 2 and the final magnification, m 2 = 1 3 . Say, the final object distance is u 2 , and the focal length of the mirror is f . We know that the magnification is given by, m = f ( f − u ) Hence, by substituting the data, we get, m 1 = f ( f − u 1 ) ⇒ 1 2 = f f + 60 ⇒ f = 60 cm The magnification in the second case will be, m 2 = f ( f − u 2 ) ⇒ 1 3 = 60 60 - u 2 ⇒ u 2 = - 120 cm Hence, the object is placed at a distance of 120 cm in front of the mirror.

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The image formed by a convex mirror of focal length $30 cm$ is a quarter size of the object. Find the location of the object with respect to the mirror.

Important Questions on Reflection of Light : Spherical Mirrors

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ISC Physics Class 12, Part-2>Chapter 1 - Reflection of Light : Spherical Mirrors>QUESTIONS>Q 11

The image formed by a convex mirror of radius of curvature

20 cm

is half the size of the object. Find the position of the object and of its image.

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ISC Physics Class 12, Part-2>Chapter 1 - Reflection of Light : Spherical Mirrors>QUESTIONS>Q 12

When an object is placed at a distance of

60 cm

from a convex mirror, the magnification produced is

\frac{1}{2}

. Where should the object be placed to obtain a magnification of

\frac{1}{3}

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ISC Physics Class 12, Part-2>Chapter 1 - Reflection of Light : Spherical Mirrors>For DIFFERENT COMPETITIVE EXAMINATIONS>Q 1

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:

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ISC Physics Class 12, Part-2>Chapter 1 - Reflection of Light : Spherical Mirrors>For DIFFERENT COMPETITIVE EXAMINATIONS>Q 2

A ray of light travelling in the direction

\frac{1}{2} (\hat{i} + \sqrt{3} \hat{j})

is incident on a plane mirror. After reflection, it travels along the direction

\frac{1}{2} (\hat{i} - \sqrt{3} \hat{j})

. The angle of incidence is:

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ISC Physics Class 12, Part-2>Chapter 1 - Reflection of Light : Spherical Mirrors>For DIFFERENT COMPETITIVE EXAMINATIONS>Q 3

An object is placed at a distance of $40 cm$ from a concave mirror of focal length $15 cm$ . If the object is displaced through a distance of $20 cm$ towards the mirror, the displacement of the image will be:

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ISC Physics Class 12, Part-2>Chapter 1 - Reflection of Light : Spherical Mirrors>For DIFFERENT COMPETITIVE EXAMINATIONS>Q 4

In an experiment to determine the focal length (

f

) of a concave mirror by the

u - v

pin method, a student places the object pin

A

on the principal axis at a distance

x

from the pole

P

. The student looks at the pin and its inverted image from a distance keeping his/her eye in line with

P A

. When the student shifts his/her eye towards left, the image appears to the right of the object pin. Then:

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ISC Physics Class 12, Part-2>Chapter 1 - Reflection of Light : Spherical Mirrors>For DIFFERENT COMPETITIVE EXAMINATIONS>Q 5

A car is fitted with a convex side-view mirror of focal length

20 cm

. A second car

2.8 m

behind the first car is overtaking the first car at a relative speed of

15 m s^{- 1}

. The speed of the image of the second car as seen in the mirror of the first one is:

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ISC Physics Class 12, Part-2>Chapter 1 - Reflection of Light : Spherical Mirrors>For DIFFERENT COMPETITIVE EXAMINATIONS>Q 6

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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The image formed by a convex mirror of focal length 30 cm is a quarter size of the object. Find the location of the object with respect to the mirror.

Important Questions on Reflection of Light : Spherical Mirrors

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The image formed by a convex mirror of focal length $30 cm$ is a quarter size of the object. Find the location of the object with respect to the mirror.