(A) Given: Focal length $f = -10 \ cm$,object distance $u = -25 \ cm$,side of square $s = 3 \ cm$.Area of the object $A_0 = s^2 = 3^2 = 9 \ cm^2$.The

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(A) Given: Focal length $f = -10 \ cm$,object distance $u = -25 \ cm$,side of square $s = 3 \ cm$.Area of the object $A_0 = s^2 = 3^2 = 9 \ cm^2$.The magnification $m$ is given by $m = \frac{f}{f - u} = \frac{-10}{-10 - (-25)} = \frac{-10}{15} = -\frac{2}{3}$.The area of the image $A_i$ is given by $A_i = m^2 \times A_0$.$A_i = \left(-\frac{2}{3}\right)^2 \times 9 = \frac{4}{9} \times 9 = 4 \ cm^2$.

Class 12 Physics Ray Optics and Optical Instruments Spherical Mirror

Difficult

$A$ square of side $3 \ cm$ is placed at a distance of $25 \ cm$ from a concave mirror of focal length $10 \ cm$. The center of the square is on the axis of the mirror and the plane is perpendicular to the axis. The area enclosed by the image of the square is ........ $cm^2$.

A
$4$
B
$6$
C
$16$
D
$36$

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Ray Optics and Optical Instruments

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Spherical Mirror

An image formed by a convex mirror of focal length $30 \ cm$ is one-fourth the size of the object. The distance of the object from the mirror is ...... $cm$.

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The circular boundary of the concave mirror subtends a cone of half-angle $\theta$ at its centre of curvature. The minimum value of $\theta$ for which a ray incident on this mirror parallel to the principal axis suffers more than one reflection is......$^o$

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When an object is placed at a distance of $25 \; cm$ from a mirror,the magnification is $m_1$. The object is moved $15 \; cm$ away with respect to the earlier position,magnification becomes $m_2$. If $\frac{m_1}{m_2} = 4$,the focal length of the mirror is: (in $; cm$)

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$A$ man having height $6 \ m$ observes an erect image of height $2 \ m$. The mirror used is:

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The minimum distance between the object and its real image for a concave mirror is

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$A$ square of side $3 \ cm$ is placed at a distance of $25 \ cm$ from a concave mirror of focal length $10 \ cm$. The center of the square is on the axis of the mirror and the plane is perpendicular to the axis. The area enclosed by the image of the square is ........ $cm^2$.

Similar Questions

An image formed by a convex mirror of focal length $30 \ cm$ is one-fourth the size of the object. The distance of the object from the mirror is ...... $cm$.

The circular boundary of the concave mirror subtends a cone of half-angle $\theta$ at its centre of curvature. The minimum value of $\theta$ for which a ray incident on this mirror parallel to the principal axis suffers more than one reflection is......$^o$

When an object is placed at a distance of $25 \; cm$ from a mirror,the magnification is $m_1$. The object is moved $15 \; cm$ away with respect to the earlier position,magnification becomes $m_2$. If $\frac{m_1}{m_2} = 4$,the focal length of the mirror is: (in $; cm$)

$A$ man having height $6 \ m$ observes an erect image of height $2 \ m$. The mirror used is:

The minimum distance between the object and its real image for a concave mirror is

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