At what distance (in m) from a convex mirror of focal length 2.5 m should a boy stand so that his image has a height equal to half of his height? The…

Question

At what distance (in m) from a convex mirror of focal length 2.5 m should a boy stand so that his image has a height equal to half of his height? The principal axis of the mirror is perpendicular to the height of the boy.

MARKS Content Team · Accepted Answer

Correct answer: 2.5. We have, m=-v/u=1/2 v=-u/2 1/(u⁡)+1/(v⁡)=1/(f⁡) 1/(u⁡)+1/(-u⁡/2)=1/(2.5 m) -1/(u⁡)=1/(2.5 m) u⁡=-2.5 m Thus, he should stand at a distance of 2.5 m from the mirror.

At what distance (in $m$ ) from a convex mirror of focal length $2.5 m$ should a boy stand so that his image has a height equal to half of his height? The principal axis of the mirror is perpendicular to the height of the boy.

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