Two lenses of powers $-1.75 \mathrm{D}$ and $+2.25 \mathrm{D}$ are placed in contact. The focal length of…

Two lenses of powers $-1.75 \mathrm{D}$ and $+2.25 \mathrm{D}$ are placed in contact. The focal length of the combination is
  1. $100 \mathrm{~cm}$
  2. $50 \mathrm{~cm}$
  3. $200 \mathrm{~cm}$
  4. $150 \mathrm{~cm}$

Solution

$\mathrm{P}=\mathrm{P}_1+\mathrm{P}_2=-1.75+2.25=0.5 \mathrm{D}$ $\begin{aligned} & \Rightarrow \frac{1}{\mathrm{f}_{\text {net }}}=0.5 \\ & \Rightarrow \mathrm{f}_{\text {net }}=2 \mathrm{~m}=200 \mathrm{~cm}\end{aligned}$

Asked in: AP EAMCET 2022 (08 Jul Shift 1)

Practice more Ray Optics questions on Aicharya