In a two-slit interference pattern, if the distance to the screen is doubled, wh

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Question: In a two-slit interference pattern, if the distance to the screen is doubled, what happens to the fringe spacing?

Options:

Correct Answer: It doubles

Solution:

Fringe spacing (β) is directly proportional to the distance to the screen (D). If D is doubled, the fringe spacing also doubles.

In a two-slit interference pattern, if the distance to the screen is doubled, what happens to the fringe spacing?

In a two-slit interference pattern, if the distance to the screen is doubled, what happens to the fringe spacing?

Step 1: Understand what fringe spacing (β) means. It is the distance between two bright or dark spots in an interference pattern.
Step 2: Know that fringe spacing is affected by the distance to the screen (D) where the pattern is observed.
Step 3: Remember the relationship: fringe spacing (β) is directly proportional to the distance to the screen (D). This means if you change D, β changes in the same way.
Step 4: If the distance to the screen (D) is doubled, it means you multiply D by 2.
Step 5: Since β is directly proportional to D, if D is doubled, then β also doubles.
Step 6: Conclude that when the distance to the screen is doubled, the fringe spacing also doubles.

Two-Slit Interference – The phenomenon where light waves passing through two closely spaced slits create an interference pattern on a screen.
Fringe Spacing – The distance between adjacent bright or dark fringes in an interference pattern, which is influenced by the distance to the screen.
Proportional Relationships – Understanding how changes in one variable (distance to the screen) affect another variable (fringe spacing) in a direct proportionality.