1.

The size of the image of an object, which is at infinity, as formed by a convex lens of focal length 30cm is 2 cm. If a concave lens of focal length 20 cm is placed between the convax lens and the image at a distance of 26 cm from the convex lens, calculate the new size of the image.

Answer»

`1.25 cm`
`2.5 cm`
`1.05 cm`
`2 cm`

SOLUTION :Convex lens froms the image at `I_(1), I_(1)` is thesecondfocus of convexlens. Size of `I_(1) = 2 cm`.
`I_(1)` actsas virtual objectfor concavelens. Concavelens FORMS the image of`I_(1)` at `I_(2)`.

Lens formula: `1/V - 1/u = 1/f`
For concave lens,
`1/v - (1)/(4) = - (1)/20` or `1/v = -(1)/(20) + 1/4 = 4/20 = 1/5`
or `v = 5 cm` = Distance of `I_(2)`from concavelens.
`:. "Magnification" = v/u = ("size of image")/("size ofobject") = 5/4`
`:. ("size of image")/(2) = 1.25`
`:.` size of image due to concave lens `= 2.5 cm`


Discussion

No Comment Found

Related InterviewSolutions