A spherical convex surface separates obj...

A spherical convex surface separates object and image space of refractive index `1.0 and 4/3.` If radius of curvature of the surface is `10cm,` find its power.

Text Solution

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The correct Answer is:

B, D

Let us see where does the parallel rays converge (or diverge) on the principal axis.
Let us call it the focus and the corresponding length the focal length f. Using `mu_2/v-mu_1/u=(mu_2-mu_1)/R`
with proper values and signs, we have
`(4//3)/(f)-(1.0)/(oo)=(4//3-1.0)/(+10)` or `f=40cm =0.4m`

Since, the rays are converging, its power should be positive. Hence,
`P("in dioptre")=+1/f("metre")=1/0.4`
`P=2.5"dioptre"`

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