A symmetric thin biconvex lens is cut into four equal parts by two planes AB and CD as shown in figure. If the power of original lens is 4D then the power of a part of the divided lens is [2025]

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Solution

Q.
A symmetric thin biconvex lens is cut into four equal parts by two planes AB and CD as shown in figure. If the power of original lens is 4D then the power of a part of the divided lens is [2025]

1 8D

2 4D

3 1D

4 2D

Ans.
(4)

$P = \frac{1}{f} = (μ - 1) (\frac{1}{R_{1}} - \frac{1}{R_{2}})$

$4 D = (μ - 1) \frac{2}{R}$ ...(i)

$P = (μ - 1) (\frac{1}{R}) = 2 D$

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