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Olympiad workbook
Exam
Olympiad workbook
Subject
NSEP
Chapter
Ray Optics

Olympiad workbook · NSEP · Ray Optics

A thin double convex lens of radii of curvature R_1=20 ~cm and...

A thin double convex lens of radii of curvature R1=20 cmR_1=20 \mathrm{~cm} and R2=60 cmR_2=60 \mathrm{~cm} is made-up of a transparent material of refractive index μ=1.5\mu=1.5. Choose the correct option(s)

Options

  1. AThe focal length of the lens is f=30 cmf=30 \mathrm{~cm} when in air.
  2. BThe lens behaves as a concave mirror of focal length fM=10 cmf_M=10 \mathrm{~cm} when silvered on the surface of radius R2=60 cm\mathrm{R}_2=60 \mathrm{~cm}
  3. CThe lens behave as a concave lens (diverging lens) if the image space beyond R2=60 cm\mathrm{R}_2=60 \mathrm{~cm} radius surface is filled with a transparent liquid of refractive index μ=53\mu=\frac{5}{3}. The object space prior to the surface of radius R1=20 cmR_1=20 \mathrm{~cm} is air.
  4. DA beam of rays incident parallel to principal axis focuses at 48 cm behind the lens if water (μ=43)\left(\mu=\frac{4}{3}\right) fills the entire space behind the surface of radius R2=60 cmR_2=60 \mathrm{~cm}. The object space prior to the surface of radius R1=20 cmR_1=20 \mathrm{~cm} is air.

Correct answer

D. A beam of rays incident parallel to principal axis focuses at 48 cm behind the lens if water (μ=43)\left(\mu=\frac{4}{3}\right) fills the entire space behind the surface of radius R2=60 cmR_2=60 \mathrm{~cm}. The object space prior to the surface of radius R1=20 cmR_1=20 \mathrm{~cm} is air.

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