Question

In a glass sphere, there is a small bubble `2xx10^(-2)m` from its centre, if the bubble is viewed along a diameter of the sphere, from the side on which it lies, how far from the surface will it appear, the radius of glass sphere is `5xx10^(-2)m` and refractive index of glass is `1.5`?
A. `2.5xx10^(-2)m`
B. `3.2xx10^(-2)m`
C. `6.5xx10^(-2)m`
D. `0.2xx10^(-2)m`

Answer 1

(a) For spherical surface
`(mu_(2))/v-(mu_(1))/u=(mu_(2)-mu_(1))/R`
Here `mu_(1)=1.5, mu_(2)=1`
`u=(5xx10^(-2)xx10^(-2))`
`=3xx10^(-2)cm`
and `R=5xx10^(-2)cm`
`:. 1/v-1.5/(3xx10^(-2))=(1-1.5)/(5xx10^(-2))`
`v=2.5xx10^(-2)m`

Image will form at a distance of `2.5xx10^(-2)m` to the right of nearer surface.