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Figure, shows a concavo-convex lens mu(2...

Figure, shows a concavo-convex lens `mu_(2)`. What is the condition on the refractive indiecs so the at the lens is diverging?

A

`2mu_(3) lt mu_(1)+mu_(2)`

B

`2mu_(3) gt mu_(1)+mu_(2)`

C

`mu_(3) gt 2(mu_(1)-mu_(2))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
b.
`(mu_(2))/(V)-(mu_(1))/(-u_(0))=(mu_(2)-mu_(1))/(-2R)`
`(mu_(3))/(V_(f))-(mu_(2))/(V)=(mu_(3)-mu_(2))/(-R)`
`(mu_(3))/(V_(f))+(mu_(1))/(u_(0))=(mu_(1)-mu_(2))/(2R)+(mu_(2)-mu_(3))/(R)`
`:. (mu_(1)-mu_(2))/(2) lt mu_(3)-mu_(2) rArr mu_(1)-mu_(2) gt 2mu_(3)-2mu_(2) rArr mu_(1)+mu_(2) lt 2mu_(3)`
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