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Find the Radius of Curvature of the Convex Surface of a Plano-convex Lens, Whose Focal Length is 0.3 M and the Refractive Index of the Material of the Lens is 1.5. - Physics

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Question

Find the radius of curvature of the convex surface of a plano-convex lens, whose focal length is 0.3 m and the refractive index of the material of the lens is 1.5.

Solution

The focal length of a combined lens can be determined by the formula

`1/f =(mu -1)(1/R_1  - 1/R_2)`

Here, R_2 =∞ and f =0.3m

`1/0.3 =( mu-1) xx 1/R_1`

`R_1 = 0.3(mu-1)`

`=0.3(1.5 -1)`

` =0.3 xx 0.5`

`= 0.15m`

`=15 cm`

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