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NEET 2020
Exam
NEET
Year
2020
Subject
Physics
Chapter
Ray Optics

NEET 2020 · Physics · Ray Optics

The power of a biconvex lens is 10 dioptre and the radius of...

The power of a biconvex lens is 1010 dioptre and the radius of curvature of each surface is 10cm.10cm . Then the refractive index of the material of the lens is,

Options

  1. A43\dfrac{4}{3}
  2. B98\dfrac{9}{8}
  3. C53\dfrac{5}{3}
  4. D32\dfrac{3}{2}

Correct answer

D. 32\dfrac{3}{2}

Step-by-step solution

Recall the proper relation between power and focal length, P=100f⇒f=100P=10010=10cmP = \dfrac{100}{f} ⇒ f = \dfrac{100}{P} = \dfrac{100}{10} = 10cm, now the relation between focal length and radius of curvature and refractive index, of the spherical surface lens,

f=R2(μ−1)f = \dfrac{R}{2 ( \mu - 1 )} (for equiconvex lens)

⇒10=102(μ−1)⇒ 10 = \dfrac{10}{2 ( \mu - 1 )}⇒(μ−1)=12⇒μ=12+1=32⇒ ( \mu - 1 ) = \dfrac{1}{2} ⇒ \mu = \dfrac{1}{2} + 1 = \dfrac{3}{2}.

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