In Young's double-slit experiment, if the distance between the slits is doubled,

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Question: In Young\'s double-slit experiment, if the distance between the slits is doubled, what happens to the fringe width?

Options:

Correct Answer: It halves

Solution:

Fringe width is given by β = λD/d. If d (distance between slits) is doubled, the fringe width β will halve.

In Young's double-slit experiment, if the distance between the slits is doubled, what happens to the fringe width?

In Young's double-slit experiment, if the distance between the slits is doubled, what happens to the fringe width?

Correct Answer: Fringe width will halve.

Step 1: Understand the formula for fringe width, which is β = λD/d.
Step 2: Identify the variables in the formula: λ is the wavelength of light, D is the distance from the slits to the screen, and d is the distance between the slits.
Step 3: Note that if the distance between the slits (d) is doubled, we can represent this as d' = 2d.
Step 4: Substitute the new value of d into the formula: β' = λD/(2d).
Step 5: Simplify the new formula: β' = (1/2)(λD/d) = (1/2)β.
Step 6: Conclude that if the distance between the slits is doubled, the fringe width (β) will be halved.

Fringe Width in Interference Patterns – Understanding how the distance between slits affects the fringe width in Young's double-slit experiment.
Mathematical Relationships in Wave Interference – Applying the formula β = λD/d to analyze changes in fringe width based on slit separation.