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A fish is near the centre of a spherical...

A fish is near the centre of a spherical water filled(`mu=4//3`)fish bowl,A child stands in air ata distance `2R`(R`is the radius of curvature of the sphere)from the centre of the bowl.At what distance from the centre would the child nose appear to the fish situated at the centrer:

A

`4R`

B

`2R`

C

`3R`

D

`4R`

Text Solution

Verified by Experts

The correct Answer is:
C

`(mu_(2))/(v)-(mu_(1))/(u)=(mu_(2)-mu_(1))/(R ) rArr(4)/(3v)-(1)/(-R)=(4//3-1)/(R ) rArr (4)/(3v)=(1)/(3R)-(1)/(R )`
`(4)/(3v)=(1-3)/(3R )rArr v=-(4R)/(2)rArr v=-2R`
Distance of image from curvature=`3R`
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