Refer the figure given below. and are refractive indices of air and lens material. The height of image will be

Question

Refer the figure given below. $μ_{1}$ and $μ_{2}$ are refractive indices of air and lens material. The height of image will be ______ cm. [2026]

Smart Achievers · Accepted Answer

(1)

$\frac{n_{2}}{v} - \frac{n_{1}}{u} = \frac{n_{2} - n_{1}}{R} \Rightarrow \frac{1.54}{v} - \frac{1}{- 40} = \frac{1.54 - 1}{- 20}$

$\frac{1.54}{v} = \frac{- 0.54}{20} - \frac{1}{40} = \frac{- 0.54 \times 2 - 1}{40}$

$v = \frac{- 1.54 \times 40}{2.08} = \frac{- 61.6}{2.08} = - 29.61 cm$

$m = \frac{h_{I}}{h_{0}} = \frac{v / n_{2}}{u / n_{1}} = \frac{n_{1} v}{n_{2} u} = \frac{1 \times 29.61}{1.54 \times 40}$

$h_{I} = 2 \times \frac{29.61}{1.54 \times 40} = 0.96 cm ≅ 1 cm$

Want Us to Email you About Special Offers & Updates?