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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Ray Optics

Olympiad workbook · NSEP · Ray Optics

A pin of small length ' a ' is placed along the axis of a concave...

A pin of small length '

a

' is placed along the axis of a concave mirror of focal length

f

, at the distance

\mathrm{u}(>\mathrm{f})

from its pole. The length of its image is ' b '. If the same object is placed perpendicular to its axis at the same distance

u

and the length of its image is now '

c

', then

Options

A $b=a \frac{f^2}{(u-f)^2}$
B $c=\sqrt{a b}$
C $c=b \frac{u-f}{f}$
D $\mathrm{bc}=\frac{\mathrm{a}^2 \mathrm{f}^3}{(\mathrm{u}-\mathrm{f})^3}$

Correct answer

D. $\mathrm{bc}=\frac{\mathrm{a}^2 \mathrm{f}^3}{(\mathrm{u}-\mathrm{f})^3}$

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