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A plano convex lens(mu=1.5)has a maximum...

A plano convex lens`(mu=1.5)`has a maximum thickness of `1mm`.If diameter of its aperturies`4cm`Find
(i)Radius of curvature of curved surface
(ii) its focal length in air.

Text Solution

Verified by Experts

The correct Answer is:
(i)0.2m,(ii)0.4m`

`R^(2)=2^(2)+(R-0.1)^(2)rArrR^(2)=4+R^(2)+.01-0.2R`
`0.2R=4.01 rArr R=(4.01)/(0.20)`
`=(401)/(20)rArr R=20cm`
`R=0.2m`
From less fomula
`(1)/(f)=(._(a)"mu_(g)-1)((1)/(R_(1))-(1)/(R_(2)))rArr (1)/(f)=(1.5-1)((1)/(20)-(1)/(oo))`
`(1)/(f)=(1)/(40)rArr f=40cm`
`f=0.4m`
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