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Calculate the refractive index of the ma...

Calculate the refractive index of the material of the lens using the given data.

Radius of curvature of the first surface `R_(1) = 0.2m` Radius of curvature of the second surface `R_(2) =0.2 m`.

Text Solution

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Trial 1`:` `f= ( D^(2) -S^(2))/( 4D)`
`f = ((0.9)^(2) - (0.3)^(2))/(4 xx 0.9)`
`f= ( 0.72)/( 0.35 ) = 0.2m`

Trial 2 `:` `f = ( (0.85)^(2) - ( 0.2)^(2))/(4 xx 0.85)`
`f = (0.6784)/(0.34)`
Average, `f = 0.199m`
` n = 1+ ( R_(1) R_(2))/(f(R_(1)+R_(2)))`
`n = 1+ ( 0.2 xx 0.2)/( 0.1997 xx 0.4)`
`n = 1.5 `
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