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KCET2026PhysicsWave Optics

In Young's double slit experiment, how many maxima can be seen on a screen (including central maxima) if d = 5 2 (where is wavelength of light and d is distance between the two slits).

Options

  1. A5
  2. B4
  3. C7
  4. D1

Correct answer

A. 5

Step-by-step solution

The condition for maxima in Young's double slit experiment is given by d = n , where n is an integer. Given d = 5 2 = 2.5 . Substituting the value of d in the condition for maxima: 2.5 = n = n 2.5 Since the maximum possible value of is 1 , we have: | n 2.5 | 1 |n| 2.5 Since n must be an integer, the possible values of n are -2, -1, 0, 1, 2 . Thus, there are 5 possible values for n , which corresponds to 5 maxima on the screen (including the central maximum). Answer: 5

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