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Rules of Ray Diagram for Representation of Images Formed

An aerial pho...

Question

An aerial photograph was taken from a flying height of 15 km above m.s.l . A straight portion of a canal measure 20 cm on this photograph, whereas it is 10 km on the ground. The focal length of camera lens will be [Height of terrain above m.s.l. = 5000 m]

A

30 cm

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B

20 cm

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C

40 cm

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D

10 cm

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Solution

The correct option is B 20 cm
$S c a l e = \frac{P h o t o d i s t a n c e}{G r o u n d d i s t a n c e} = \frac{f}{H - h_{a v g}}$

$\Rightarrow \frac{20}{10 \times 1000 \times 100} = \frac{f}{(15000 - 5000) \times 100}$

$\Rightarrow f = 20 c m$

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