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Question

A boy of height 1m stands in front of a convex mirror. His distance from the mirror is equal its focal length. The height of his image is


A

0.25m

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B

0.5m

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C

0.33m

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D

0.67m

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Solution

The correct option is B

0.5m


using mirror formula: 1v+1f=1fV=f2
where 'v' is the image distance, 'u' is the object distance and 'f' is the focal length of the mirror
1v+1f=1fV=f2
We write magnification as vih0=vu wherehi is the height of image and ho is the height of object. Placing the value of v, we can get hi=12


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