A boy standard state in front of a mirror at a distance of 40 cm from it. He sees his erect image whose height is 1 by 5 of his real height. What is the nature of the mirror? Calculate focal length?
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Answer:we know that,u=40cm
and,hi=1/5ho
Magnification,m=-v/u=hi/ho
m=1/5ho/ho
m=1/5=-v/u
m=1/5=-v/40
V=-200cm
Now,from mirror equation,
1/f=1/u+1/v
1/f=1/40-1/200
1/f=1/50
f=50cm
From this we conclude that it is a convex mirror....
Hope u can understand it......
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