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Question

An object is placed 15 cm in front of a lens. The lens forms a real image three times magnified. Find out the image distance and the focal length of a lens?

A
v=35 cm
f=13.25 cm
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B
v=45 cm
f=11.25 cm
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C
v=35 cm
f=13.25 cm
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D
v=45 cm
f=11.25 cm
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Solution

The correct option is B v=45 cm
f=11.25 cm
Given:
Object distance, u=15 cm
Magnitude of magnification, |m|=3
Image produced is real.

Since the image produce by the lens is real, it is a convex lens, image distance is positive and magnification is negative.

Magnification is given by:
m=vu
3=v15
v=45 cm

Using Lens formula,
1f=1v1u
1f=1451(15)
f=11.25 cm

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