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Question

An object is placed in front of a convex mirror at a distance equal to the focal length of the mirror. If its focal length is 20cm , the distance of the image from the mirror is ……cm.


A

10

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B

20

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C

40

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D

infinity

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Solution

The correct option is A

10


Step 1: Given data:

An object is placed in front of a convex mirror at a distance equal to the focal length of the mirror. If its focal length is 20cm , the distance of the image from the mirror is 10 cm.

Given ,

f=20cm and as object is placed at the same distance as that of focus u=-20cm (negative sign implies that the object is on the left side of the lens)

We need to find the position of the image(v).

Step 2: Finding the image distance:

Using the mirror formula , 1f=1u+1v

120=1-20+1v1v=120+120=220=110v=10cm

Thus, the correct option is (a).


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