(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

Physics Questions

Chapter

Ray Optics and Optical Instruments

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Spherical Mirror

At what distance in front of a concave mirror of focal length $30\; cm$,should an object be placed (in $cm$) so that its real image of size three times that of the object is obtained?

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$A$ square object of area $100\,cm^2$ is placed perpendicular to the principal axis of a concave mirror. If the lateral magnification of the mirror,for the above object position,is $0.4$,then the area of the image will be......$cm^2$.

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The distance of an object from the pole of a concave mirror is equal to its radius of curvature. The image must be:

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$A$ convex mirror of focal length $10\,cm$ is shown in the figure. $A$ linear object $AB = 5\,cm$ is placed along the optical axis. Point $B$ is at a distance of $20\,cm$ from the pole of the mirror. Then,the size of the image of $AB$ will be:

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$A$ concave shaving mirror has a radius of curvature of $35.0 \, cm$. It is positioned so that the upright image of a man's face is $2.5 \, \times$ the size of the face. How far is the mirror from the face in $cm$?

Medium

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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

At what distance in front of a concave mirror of focal length $30\; cm$,should an object be placed (in $cm$) so that its real image of size three times that of the object is obtained?

$A$ square object of area $100\,cm^2$ is placed perpendicular to the principal axis of a concave mirror. If the lateral magnification of the mirror,for the above object position,is $0.4$,then the area of the image will be......$cm^2$.

The distance of an object from the pole of a concave mirror is equal to its radius of curvature. The image must be:

$A$ convex mirror of focal length $10\,cm$ is shown in the figure. $A$ linear object $AB = 5\,cm$ is placed along the optical axis. Point $B$ is at a distance of $20\,cm$ from the pole of the mirror. Then,the size of the image of $AB$ will be:

$A$ concave shaving mirror has a radius of curvature of $35.0 \, cm$. It is positioned so that the upright image of a man's face is $2.5 \, \times$ the size of the face. How far is the mirror from the face in $cm$?

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