Wave Optics

JEE Main level, single correct, medium

38 of 191

Question 38 of 191

Given below are two statements :
Statement I : In a Young's double slit experiment, the angular separation of fringes will increase as the screen is moved away from the plane of the slits

Statement II: In a Young's double slit experiment, the angular separation of fringes will increase when monochromatic source is replaced by another monochromatic source of higher wavelength.


In the light of the above statements, choose the correct answer from the options given below :

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Answer: (B) Statement I is false but Statement II is true

In Young's double slit experiment, angular separation of fringes is β=λd\beta = \frac{\lambda}{d} where λ\lambda is wavelength and d is slit separation.
Statement I is false because angular separation is independent of screen distance; it depends only on the slit separation and wavelength.

Statement II is true because increasing the wavelength directly increases the angular separation
β\beta.
Therefore, Statement I is false but Statement II is true.

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