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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 `10 cm`, find its power.

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The correct Answer is:
`2.5 D`

Here, `mu_(1) = 1.0, mu_(2) = 4//3, R = 10 cm. P = ?`
`-(mu_(1))/(u) + (mu_(2))/(v) - (mu_(2) - mu_(1))/(R )` when `u = oo, v = f`
`:. -(1)/(oo) + (4)/(3 f) = (4//3 - 1)/(10) = (1)/(30) , f = 40 cm`.
`P = 100// f = (100)/(40) = 2.5 D`
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