Ray Optics

JEE Main level, single correct, medium

37 of 295

Question 37 of 295

Region II and IIII are separated by a spherical surface of radius 25cm25cm. An object is kept in region II at a distance of 40cm40cm from the surface. The distance of
the image from the surface is:

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Answer: (D) 37.58cm37.58cm

μ2v−μ1u=μ2−μ1R\dfrac{{\mu }_{2}}{v}-\dfrac{{\mu }_{1}}{u}=\dfrac{{\mu }_{2}-{\mu }_{1}}{R}
1.4v−1.25−40=1.4−1.25−25\dfrac{1.4}{v}-\dfrac{1.25}{-40}=\dfrac{1.4-1.25}{-25}
1.4v=−0.1525−1.2540\dfrac{1.4}{v}=-\dfrac{0.15}{25}-\dfrac{1.25}{40}
v=−37.58cmv=-37.58cm
Hence option
(4)(4).

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