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Ray Optics and Optical Instruments · Question 58

JEE Main 2025 (Online) 28th January Morning ShiftMCQEasy📈 Topic in 35% papers+4−1
1

A thin prism P1 with angle 4 made of glass having refractive index 1.54, is combined with another thin prism P2 made of glass having refractive index 1.72 to get dispersion without deviation. The angle of the prism P2 in degrees is

  1. 1.5
  2. 16/3
  3. 3
  4. 4

Answer

(3) 3

Solution

Deviation by a thin prism: = ( - 1)A

No net deviation: ( 1 - 1)A1 = ( 2 - 1)A2

(1.54 - 1) 4 = (1.72 - 1)A2

A2 = 0.54 40.72 = 3

Answer: (3)

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2

A hemispherical vessel is completely filled with a liquid of refractive index . A small coin is kept at the lowest point (O) of the vessel as shown in figure. The minimum value of the refractive index of the liquid so that a person can see the coin from point E (at the level of the vessel) is . [figure]

  1. 32
  2. 32
  3. 3
  4. 2
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3

A concave mirror produces an image of an object such that the distance between the object and image is 20 cm. If the magnification of the image is -3, then the magnitude of the radius of curvature of the mirror is :

  1. 3.75 cm
  2. 15 cm
  3. 7.5 cm
  4. 30 cm
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4

In a long glass tube, mixture of two liquids A and B with refractive indices 1.3 and 1.4 respectively, forms a convex refractive meniscus towards A. If an object placed at 13 cm from the vertex of the meniscus in A forms an image with a magnification of -2, then the radius of curvature of meniscus is :

  1. 23 cm
  2. 43 cm
  3. 13 cm
  4. 1 cm
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