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Q.

An object is kept at a distance of $18 cm, 20 cm, 22 cm$ and, $30 cm,$ from a lens of power $+ 5 D$ . In which case or cases would you get a magnified image?

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a

18 cm

b

22 cm

c

20 cm

d

All of the above

answer is D.

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Detailed Solution

At all the distances, the image form will be magnified.
The convex lens always produces an enlarged image except in the case in which the object is placed at a distance

2 f

from the lens because, in this case, the image will be produced of the same size and not enlarged.
There is a relation between Power and focal length of a lens that is:

f = \frac{1}{p}

\Rightarrow

f = \frac{1}{(+ 5)}

\Rightarrow f = 0.2 m

f = 20 cm

At object distances of

18 cm, 20 cm, 22 cm

the image can get magnified.

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