Statement I: If screen moved away from the plane of slits, angular separation of the fringes remains constant. [2023]

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Q.
For Young’s double slit experiment, two statements are given below:

Statement I: If screen 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: [2023]

1 Statement I is true but Statement II is false.

2 Statement I is false but Statement II is true.

3 Both Statement I and Statement II are true.

4 Both Statement I and Statement II are false.

Ans.
(1)

Angular separation, $θ = \frac{λ}{d}$

So, it is independent of D which is the distance between screen and slit.

As $λ$ increases, $θ$ also increases.

Thus, statement I is true but statement II is false.

Solution

1 Statement I is true but Statement II is false.

2 Statement I is false but Statement II is true.

3 Both Statement I and Statement II are true.

4 Both Statement I and Statement II are false.

Ans.
(1)

Angular separation, $θ = \frac{λ}{d}$

So, it is independent of D which is the distance between screen and slit.

As $λ$ increases, $θ$ also increases.

Thus, statement I is true but statement II is false.

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Solution

1 Statement I is true but Statement II is false.

2 Statement I is false but Statement II is true.

3 Both Statement I and Statement II are true.

4 Both Statement I and Statement II are false.

Ans. (1) Angular separation, θ=λd So, it is independent of D which is the distance between screen and slit. As λ increases, θ also increases. Thus, statement I is true but statement II is false.

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Ans.
(1)

Angular separation, $θ = \frac{λ}{d}$

So, it is independent of D which is the distance between screen and slit.

As $λ$ increases, $θ$ also increases.

Thus, statement I is true but statement II is false.