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Question

Photographs of the ground are taken from an aircraft flying at an altitude of 2000 m by a camera with a lens of focal length 50 cm. The size of the film in the camera is 18cm×18cm. The area of the ground that can be photographed by the camera is:

A
720m×720m
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B
720cm×720cm
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C
360cm×360cm
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D
None of these
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Solution

The correct option is A 720m×720m
Area of the imageArea of the object= Aerial magnification =m2
Where m is the linear magnification
m=ff+u=0.50.5200014000
Now, area of the image is equal to size of the camera film, therefore
Area of object=Area of the imagem2
=18×18×4000×4000
=72000cm×72000cm
Note that m has no unit, so area of object is in same units as area of image.

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