Topic: Interference and Young's double-slit experiment· Optics

For Young's double slit experiment, two statements are given below:Statement I : If screen is moved away from the plane of slits, angular separation of the fringes remains constant.Statement II : If the monochromatic source is replaced by another mon…

For Young's double slit experiment, two statements are given below:

Statement I : If screen is moved away from the plane of slits, angular separation of the fringes remains constant.

Statement II : If the monochromatic source is replaced by another monochromatic source of larger wavelength, the angular separation of fringes decreases.

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

1. Statement I is false but Statement II is true.

2. Both Statement I and Statement II are true.

3. Both Statement I and Statement II are false.

4. Statement I is true but Statement II is false.

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Answer: 4. Statement I is true but Statement II is false.

Fringe width \(\beta=\dfrac{\lambda D}{d}\), so angular separation \(\theta=\dfrac{\beta}{D}=\dfrac{\lambda}{d}\).

Statement I: \(\theta\) does not depend on \(D\), so moving the screen leaves it constant. True.
Statement II: \(\theta\propto\lambda\), so a larger wavelength increases it. The statement says it decreases, so it is false.

Option 4.

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For Young's double slit experiment, two statements are given below:Statement I : If screen is moved away from the plane of slits, angular separation of the fringes remains constant.Statement II : If the monochromatic source is replaced by another mon…

1 answer

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