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Wave Optics · Question 23

JEE Main 2026 (Online) 21st January Evening ShiftNumericalEasy📈 Topic in 45% papers+4
1

In a Young's double slit experiment set up, the two slits are kept 0.4 mm apart and screen is placed at 1 m from slits. If a thin transparent sheet of thickness 20 is introduced in front of one of the slits then center bright fringe shifts by 20 mm on the screen. The refractive index of transparent sheet is given by 10, where is .

Answer

14

Solution

Shift of the fringe pattern due to a sheet of thickness t: y = ( - 1)tDd

20 10-3 = ( - 1) 20 10-6 10.4 10-3

20 10-3 = ( - 1) 5 10-2

- 1 = 0.4 = 1.4 = 1410

= 14

Answer: 14

JEE Main 2026 (Online) 21st January Evening Shift

Keep practising — Wave Optics

2

In a Young's double slit experiment, the source is white light. One of the slits is covered by red filter and another by a green filter. In this case:

  1. there shall be alternate interference fringes of red and green.
  2. there shall be an interference pattern for red distinct from that for green.
  3. there shall be an interference pattern, where each fringe's pattern center is green and outer edges is red.
  4. there shall be no interference fringes.
JEE Main 2025 (Online) 8th April Evening Shift
3

Two plane polarized light waves combine at a certain point whose electric field components are E1 = E0 t E2 = E0 ( t + 3 ) Find the amplitude of the resultant wave.

  1. 1.7 E0
  2. E0
  3. 0.9 E0
  4. 3.4 E0
JEE Main 2025 (Online) 7th April Morning Shift
4

In a Young's double slit experiment, the slits are separated by 0.2 mm. If the slits separation is increased to 0.4 mm, the percentage change of the fringe width is :

  1. 25\%
  2. 50\%
  3. 0\%
  4. 100\%
JEE Main 2025 (Online) 4th April Morning Shift
5

Two polarisers P1 and P2 are placed in such a way that the intensity of the transmitted light will be zero. A third polariser P3 is inserted in between P1 and P2, at particular angle between P2 and P3. The transmitted intensity of the light passing through all three polarisers is maximum. The angle between the polarisers P2 and P3 is :

  1. /6
  2. 3
  3. 4
  4. /8
JEE Main 2025 (Online) 4th April Evening Shift
6

In a Young's double slit experiment, two slits are located 1.5 mm apart. The distance of screen from slits is 2 m and the wavelength of the source is 400 nm. If the 20 maxima of the double slit pattern are contained within the central maximum of the single slit diffraction pattern, then the width of each slit is x 10-3 cm, where x-value is .

JEE Main 2025 (Online) 4th April Evening Shift
7

Two coherent monochromatic light beams of intensities 4I and 9I are superimposed. The difference between the maximum and minimum intensities in the resulting interference pattern is xI. The value of x is .

JEE Main 2025 (Online) 3rd April Morning Shift
8

Two monochromatic light beams have intensities in the ratio 1:9. An interference pattern is obtained by these beams. The ratio of the intensities of maximum to minimum is

  1. 8 : 1
  2. 4 : 1
  3. 3 : 1
  4. 9 : 1
JEE Main 2025 (Online) 3rd April Evening Shift
9

Width of one of the two slits in a Young's double slit interference experiment is half of the other slit. The ratio of the maximum to the minimum intensity in the interference pattern is:

  1. 3 : 1
  2. (2 2 + 1) : (2 2 - 1)
  3. 9 : 1
  4. (3 + 2 2) : (3 - 2 2)
JEE Main 2025 (Online) 3rd April Evening Shift
10

A light wave is propagating with plane wave fronts of the type x + y + z = constant. The angle made by the direction of wave propagation with the x-axis is :

  1. -1(2/3)
  2. -1 ( 1 3 )
  3. -1 ( 13 )
  4. -1 ( 23 )
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11

If the measured angular separation between the second minimum to the left of the central maximum and the third minimum to the right of the central maximum is 30 in a single slit diffraction pattern recorded using 628 nm light, then the width of the slit is .

JEE Main 2025 (Online) 2nd April Morning Shift

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