In Young's double-slit experiment, if the distance between the slits is doubled,
Practice Questions
Q1
In Young's double-slit experiment, if the distance between the slits is doubled, what happens to the fringe width?
It doubles
It halves
It remains the same
It quadruples
Questions & Step-by-Step Solutions
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.
