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AIIMS 2009
Exam
AIIMS
Year
2009
Subject
Physics
Chapter
Ray Optics

AIIMS 2009 · Physics · Ray Optics

A convex lens of refractive index (3)/(2) has a power of 2.5 D in...

A convex lens of refractive index 32\frac{3}{2} has a power of 2.5D2.5 \mathrm{D} in air. If it is placed in a liquid of refractive index 2 , then the new power of the lens isA convex lens of refractive index (3)/(2) has a power of 2.5 D in air. If it is placed in a liquid of refractive index

Options

  1. A−1.25D-1.25 \mathrm{D}
  2. B−1.5D-1.5 \mathrm{D}
  3. C1.25D1.25 \mathrm{D}
  4. D1.5D1.5 \mathrm{D}

Correct answer

A. −1.25D-1.25 \mathrm{D}

Step-by-step solution

Focal length of a convex lens having power 2.5D,=12.5 m2.5 \mathrm{D},=\frac{1}{2.5} \mathrm{~m} Also focal length of a lens in a medium of refractive index μ\mu is given by 1f=(μ−1)\frac{1}{f}=(\mu-1)\left(\frac{1}{R_1}-\frac{1}{R_2}\right)<imgsrc="https://cdn−question−pool.getmarks.app/pyq/aiims/Pb2mnrvKnoEWdvcJ−7bkKGe1YWeecOadMiPbpoDFU.original.fullsize.png"><br>Dividingthetwo,<img src="https://cdn-question-pool.Quantrex.app/pyq/aiims/Pb2mnrvKn_oEWdvcJ-7bkKGe1YWeecOadMiPbp_oDFU.original.fullsize.png"><br> Dividing the two,2.5 \frac{0.5}{-0.25} \Rightarrow \frac{1}{f^{\prime}}=\frac{-5}{25 \times 0.25}=-1.25 \mathrm{D}
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