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 A transparent sphere of radius R and refractive index m. An object O is placed at a distance x from the pole of the first surface so that a real image is formed at the pole of the exactly opposite surface.
If x = ∞, then the value of m is
  • a)
    1.5
  • b)
    2
  • c)
    3
  • d)
    None
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A transparent sphere of radius R and refractive index m. An object O i...

From the symmetry of the fig.ray inside the sphere is parallel to the principal axis. Taking refraction at A
2/v)−(μ1/u))=(μ2−μ1)/R
(μ/∞)−(1/−R)=(μ−1)/R
(1/R)=(μ−1)/R⇒μ−1=1
μ=2
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A transparent sphere of radius R and refractive index m. An object O is placed at a distance x from the pole of the first surface so that a real image is formed at the pole of the exactly opposite surface.If x = ∞, then the value of m isa)1.5b)2c)3d)NoneCorrect answer is option 'B'. Can you explain this answer?
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