1.

A biconvex lens of focal length 15 cm is in front of a plane mirror. The distance between the lens and the mirror is 10 cm. A small object is kept at a distance of 30 cm from the lens. The final image is

Answer»

virtual and at a distance of 16 cm from the mirror
real and at a distance of 16 cm from the mirror
virtual and at a distance of 20 cm from the mirror
real and at a distance of 20 cm from the mirror.

Solution :(b) USING lens formula `{(1/v) + (1/u)} = 1/f
{(1/v) + (1/30) }= 1/15 rArr v = 30 cm`
so, object for place mirror is 20 cm from it towards right.
`rArr`Image formed = 20 cm left from plane mirror.
This behaves as virtual object for lens at a distance of 10 cm left.

using lens formula,
(1/v.) + (1/u) = 1/f
`rArr (1//v.) + (1//-10) = 1//15 rArr v. = 6 cm`
So, image formed is real and at a distance 16 cm from mirror.
`mu = A + (B)/(lambda^(2)) + (C )/(lambda^(4)) + ...`
`f_(R) ge f_(v)`.


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