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The figure ,shows a transparent sphere of radius`R`and refractive index`mu`.An object `O`is placed at a distance `x` from the pole of the first surface so that a real image is formed at the pole of the exactly opposite surface.
If `x=oo`,then the value of `mu` is

A

`1.5`

B

`2`

C

`3`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B

`(mu_(2))/(v)-(mu_(1))/(u)=(mu_(2)-mu_(1))/(R ) rArr (u)/(2R)-(1)/(oo)=(mu-1)/(R ) rArr (mu)/(2)=mu-1`
`(mu)/(2)=1 rArr mu=2`
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