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A plastic hemisphere has a radius of cur...

A plastic hemisphere has a radius of curvature of `8 cm` and an index of refraction of `1.6` . On the axis halfway between the plane surface and the spherical one `( 4 cm ` from each `)` is a small object `O`.
The distance between the two images when viewed along the axis from the two sides of the hemisphere is approximately .

A

1.0 cm

B

1.5 cm

C

3.75 cm

D

2.5 cm

Text Solution

Verified by Experts

The correct Answer is:
D
Distance from plane side
`v^(')=(4)/(1.6)=2.5" cm"`
Distance from curved side
`(1)/(v^(''))+(1.6)/(4)=(1-1.6)/(8)`
`x_(2)=-3.0" cm"`
hence v'v"= (8-2.5-3)=2.5 cm
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