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(i) If f = + 0.5 m, what is the power of...

(i) If `f = + 0.5 m`, what is the power of the lens ?
(ii) The radii of curvature of the faces of a double convex lens are `9 cm and 15 cm`. Its focal length is `12 cm`. What is the refractive index of glass ?

Text Solution

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(a) `P = (1)/(f(m)) = (1)/(0.5) = +2D " "` (b) `(1)/(f) = (mu-1)((1)/(R_(1)) - (1)/(R_(2))) implies (1)/(12) = (mu-1)((1)/(10) - (1)/(-15)) implies mu=1.5`
(c) `(1)/(f) = (mu-1) ((1)/(R_(1)) - (1)/(R_(2))) "so" (1)/(f) alpha (mu-1), (f_(w))/(f_(a))= ((mu_(l)-1))/((._wmu_(l) -1)) implies f_(w) = ((1.5-1))/(((1.5)/(1.33) - 1))xx 20 = 78.2 "cm"`
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