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In the figure shown , a point object O i...

In the figure shown , a point object O is placed in air on the principal axis. The radius of curvature of the spherical surfaces is `60 cm.` I is the final image formed after all reflections and refractions.

A

if`d_(1) =120 cm` then the `I_(f)'`is forme dobn'O' for any value of `d_(2)`

B

if`d_(1)=240cm`,then the `'I_(f)'`is formed on 'O' only if`d_(2)=360cm`

C

if`d_(1)=240cm`,then the `'I_(f)'`is formed on 'O' for all value of `d_(2)`

D

if`d_(1)=240cm`,then the `'I_(f)'`is cannot be formed on 'O'

Text Solution

Verified by Experts

The correct Answer is:
A,B

`(mu_(2))/(v)-(mu_(1))/(u)=(mu_(2)-mu_(1))/(R ) rArr (3)/(2v)-(1)/(-120)=(1.5-1)/(60)`
`(3)/(2v)=(1)/(120)-(1)/(120)rArr v=oo`
(B)
` (mu_(2))/(v)-(mu_(1))/(u)=(mu_(2)-mu_(1))/(R )`
`(3)/(2v)-(1)/(-240)=(1)/(120) rArr (3)/(2v)=(1)/(240)`
`v=360cm`
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