(B) Given: Focal length $f = -10 \, cm$,Object distance $u = -25 \, cm$,Area of object $A_{obj} = (3.0 \, cm)^2 = 9 \, cm^2$.Using the mirror formula,

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(B) Given: Focal length $f = -10 \, cm$,Object distance $u = -25 \, cm$,Area of object $A_{obj} = (3.0 \, cm)^2 = 9 \, cm^2$.Using the mirror formula,$\frac{1}{v} + \frac{1}{u} = \frac{1}{f}$,we find the magnification $m = \frac{f}{f - u}$.$m = \frac{-10}{-10 - (-25)} = \frac{-10}{15} = -\frac{2}{3}$.The area of the image is given by $A_{image} = m^2 \times A_{obj}$.$A_{image} = \left( -\frac{2}{3} \right)^2 \times 9 = \frac{4}{9} \times 9 = 4 \, cm^2$.

Class 12 Physics Ray Optics and Optical Instruments Spherical Mirror

Difficult

$A$ square wire frame of side length $3.0 \, cm$ is placed $25 \, cm$ away from a concave mirror of focal length $10 \, cm$. The center of the wire frame is on the axis of the mirror,with two of its sides perpendicular to the axis. The area of the image will be $..... \, cm^2$.

A
$3.5$
B
$4$
C
$2.9$
D
$4.6$

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Class 12 Questions

Class 12

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Ray Optics and Optical Instruments

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Spherical Mirror

For a real object,which of the following can produce a real image?

Easy

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While using an electric bulb for street lighting, the reflector should be a:

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An object is placed in front of a concave mirror of focal length $f$. $A$ virtual image is formed with a magnification of $2$. To obtain a real image of the same magnification,the object has to be moved by a distance of:

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An object is placed at a distance of $10 \, cm$ from a concave mirror of focal length $20 \, cm$. The image formed will be .......

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$A$ candle of height $3 \ cm$ is placed at $300 \ cm$ from a wall. $A$ concave mirror is kept at a distance $x$ from the wall in such a way that the image of the flame on the wall is $9 \ cm$. Then $x$ is $.... \ cm$.

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$A$ square wire frame of side length $3.0 \, cm$ is placed $25 \, cm$ away from a concave mirror of focal length $10 \, cm$. The center of the wire frame is on the axis of the mirror,with two of its sides perpendicular to the axis. The area of the image will be $..... \, cm^2$.

Similar Questions

For a real object,which of the following can produce a real image?

While using an electric bulb for street lighting, the reflector should be a:

An object is placed in front of a concave mirror of focal length $f$. $A$ virtual image is formed with a magnification of $2$. To obtain a real image of the same magnification,the object has to be moved by a distance of:

An object is placed at a distance of $10 \, cm$ from a concave mirror of focal length $20 \, cm$. The image formed will be .......

$A$ candle of height $3 \ cm$ is placed at $300 \ cm$ from a wall. $A$ concave mirror is kept at a distance $x$ from the wall in such a way that the image of the flame on the wall is $9 \ cm$. Then $x$ is $.... \ cm$.

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