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All objects referred to the subsequent p...

All objects referred to the subsequent problems lie on the principal axis.

In above question if the object is real, then the final image formed after two refractions :

A

may be real

B

may be virtual

C

must be virtual

D

both `A` and `B`

Text Solution

Verified by Experts

The correct Answer is:
D

Consider object on left side of spherical surface seperating two media.
If real object is in rarer media i.e. `n_(1) lt n_(2)`
Then `(n_(2))/(v)=(n_(2)-n_(1))/((-u))+(n_(1))/(-R)=-ve`
Hence image shall be virtual for a real object lying
on concave side with rarer media....(1)
If real object is in denser media i.e. `n_(1) gt n_(2)`
`(n_(2))/(v)=(-(n_(1)-n_(2)))/((-u))+(n_(1))/((-R))=(n_(1)-n_(2))/(u)-(n_(1))/(R)`
`:.` Image is real if
`(n_(1)-n_(2))/(u) gt (n_(1))/(R)` or `u lt ((n_(1)-n_(2))R)/(n_(1))`.....(2)
and image is virtual if `u gt((n_(1)-n_(2))/(n_(1)))R`...(3)
From statements `1,2` and `3` we can easily conclude the answers.
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