CBSE Class 9 Answered
A convex mirror has a focal length of 18 cm the image of an object kept in front of the mirror is half the height of the object what is the distance of the object from the mirror?
Asked by asgandle | 07 Jan, 2019, 07:29: PM
Expert Answer
magnification = -v/u = 1/2 , hence u = -2v .................(1)
where u is the mirror-to-object distance and v is mirror-to-image distance.
let f be the focal length of mirror.
we have mirror formula (1/v) + (1/u) = (1/f) ...........(2)
For convex mirror f is +ve, hence using eqn.(1) and (2), (1/v) - [ 1/(2v) ] = 1/18 .....(3)
From eqn.(3), we get v = 9 cm hence u = -18 cm
hence object is at a distance 18 cm in front of mirror
Answered by Thiyagarajan K | 08 Jan, 2019, 08:17: AM
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