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Question -

A card sheet divided into squares each ofsize 1 mm2 is being viewed at a distance of 9 cmthrough a magnifying glass (a converging lens of focal length 9 cm) held closeto the eye.

(a) What is themagnification produced by the lens? How much is the area of each square in thevirtual image?

(b) What is the angularmagnification (magnifying power) of the lens?

(c) Is the magnificationin (a) equal to the magnifying power in (b)?



Answer -

Note : Here wetook focal Length as 10 cm because if we take it as 9 cm then imagedistance will be zero ,which does not make any sense. (a) Area of each square, A =1 mm2

Object distance, u = −9 cm

Focal length of a converging lens, = 9 cm

For image distance v, the lensformula can be written as:

Magnification, 

Area of each square in thevirtual image = (10)2A

= 102 × 1 = 100 mm2

= 1 cm2

(b) Magnifying power of the lens

(c) The magnification in (a) is not the same as themagnifying power in (b).

Themagnification magnitude is and the magnifying power isThetwo quantities will be equal when the image is formed at the near point (25cm).

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