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Ray Optics and Optical Instruments

JEE Main 2024 (Online) 30th January Evening ShiftNumericalMedium📈 Topic in 47% papers+4
Ques. 1JEE Main 2024, 30 January (Evening Shift)

In an experiment to measure the focal length (f) of a convex lens, the magnitude of object distance (x) and the image distance (y) are measured with reference to the focal point of the lens. The y-x plot is shown in figure. The focal length of the lens is cm. [figure]

Answer

20

Solution

[figure]

Distances from the foci ⇒ Newton's formula: xy=f2 (the curve)

At C the curve meets the line x=y (object and image both at 2f): x=y=20 cm

f2=20 20 f=20 cm

(Check: u=v=f+20=40 cm=2f ✓)

Answer: 20

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Ques. 2JEE Main 2024, 29 January (Morning Shift)

A convex mirror of radius of curvature 30 cm forms an image that is half the size of the object. The object distance is :

  1. -45 cm
  2. -15 cm
  3. 45 cm
  4. 15 cm
Ques. 3JEE Main 2024, 29 January (Morning Shift)

A biconvex lens of refractive index 1.5 has a focal length of 20 cm in air. Its focal length when immersed in a liquid of refractive index 1.6 will be:

  1. -16 cm
  2. +16 cm
  3. +160 cm
  4. -160 cm
Ques. 4JEE Main 2024, 29 January (Evening Shift)

If the distance between object and its two times magnified virtual image produced by a curved mirror is 15 cm, the focal length of the mirror must be:

  1. -10 cm
  2. -12 cm
  3. 15 cm
  4. 10/3 cm
Ques. 5JEE Main 2024, 27 January (Morning Shift)

If the refractive index of the material of a prism is ( A2 ), where A is the angle of prism then the angle of minimum deviation will be

  1. - 2A
  2. 2-2A
  3. - A
  4. 2-A
Ques. 6JEE Main 2024, 27 January (Morning Shift)

Two immiscible liquids of refractive indices 85 and 32 respectively are put in a beaker as shown in the figure. The height of each column is 6 cm. A coin is placed at the bottom of the beaker. For near normal vision, the apparent depth of the coin is 4 cm. The value of is . [figure]

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