A convex lens of focal length 40 cm is in contact with a concave lens of focal length 25 cm . The power of…

A convex lens of focal length 40 cm is in contact with a concave lens of focal length 25 cm . The power of combination is
  1. $\quad-1.5 \mathrm{D}$
  2. -6.5 D
  3. $\quad+6.5 \mathrm{D}$
  4. +1.5 D

Solution

$\begin{aligned} & \mathrm{P}=\frac{\mathrm{I}}{\mathrm{f}}=\frac{1}{\mathrm{f}_1}+\frac{1}{\mathrm{f}_2} \\ & \mathrm{P}=\frac{1}{0.4}+\frac{1}{-0.25}=\frac{10}{4}-\frac{100}{25}=2.5-4=-1.5 \mathrm{D}\end{aligned}$ .

Asked in: MHT CET 2024 (10 May Shift 2)

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