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JEE Main 202228 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
28 July
Shift
Evening Shift
Subject
Physics
Chapter
Ray Optics

JEE Main 2022 · 28 July · Evening Shift · Physics · Ray Optics

The power of a lens (biconvex) is 1 . 25 m ^ - 1 in particular...

The power of a lens (biconvex) is 1.25m−11 . 25{m}^{- 1} in particular medium. Refractive index of the lens is 1.51 . 5 and radii of curvature are 20cm20cm and 40cm40cm respectively. The refractive index of surrounding medium:

Options

  1. A1.01 . 0
  2. B97\dfrac{9}{7}
  3. C32\dfrac{3}{2}
  4. D43\dfrac{4}{3}

Correct answer

D. 43\dfrac{4}{3}

Step-by-step solution

Using Len's maker formula,

P=1f=P = \dfrac{1}{f} =\left({\mu}_{1} - {\mu}_{2}\right)(1R1−1R2)\left(\dfrac{1}{{R}_{1}} - \dfrac{1}{{R}_{2}}\right)

Where, μ1{\mu}_{1} is refractive index of lens and μ2{\mu}_{2} is of surrounding medium.

Putting the values,

⇒1.25=(1.5−μ2)(10.2+10.4)⇒ 1 . 25 = \left(1 . 5 - {\mu}_{2}\right)\left(\dfrac{1}{0 . 2} + \dfrac{1}{0 . 4}\right)

⇒1.25×0.080.6=(1.5−μ2)⇒ \dfrac{1 . 25 \times 0 . 08}{0 . 6} = \left(1 . 5 - {\mu}_{2}\right)

The refractive index of surrounding medium is μ2=43{\mu}_{2} = \dfrac{4}{3}.

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