My Learning Cart
?
Categories
Account

In a double-slit experiment, if the distance between the slits is doubled while

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: In a double-slit experiment, if the distance between the slits is doubled while keeping the wavelength constant, what happens to the fringe width?

Options:

  1. Doubles
  2. Halves
  3. Remains the same
  4. Quadruples

Correct Answer: Halves

Solution: 

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

In a double-slit experiment, if the distance between the slits is doubled while

Practice Questions

Q1
In a double-slit experiment, if the distance between the slits is doubled while keeping the wavelength constant, what happens to the fringe width?
  1. Doubles
  2. Halves
  3. Remains the same
  4. Quadruples

Questions & Step-by-Step Solutions

In a double-slit experiment, if the distance between the slits is doubled while keeping the wavelength constant, what happens to the fringe width?
  • 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, D is the distance from the slits to the screen, and d is the distance between the slits.
  • Step 3: Note that in this scenario, the wavelength (λ) and the distance to the screen (D) remain constant.
  • Step 4: Recognize that if the distance between the slits (d) is doubled, we replace d with 2d in the formula.
  • Step 5: Substitute into the formula: β = λD/(2d).
  • Step 6: Compare the new fringe width (β) with the original fringe width (β = λD/d).
  • Step 7: Since β = λD/(2d) is half of β = λD/d, we conclude that the new fringe width is half of the original fringe width.
  • Double-slit experiment – A fundamental experiment in quantum mechanics demonstrating the wave-particle duality of light and matter.
  • Fringe width – The distance between adjacent bright or dark fringes in an interference pattern, determined by the wavelength of light and the geometry of the slits.
  • Interference pattern – The pattern of light and dark bands created by the constructive and destructive interference of waves from the two slits.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks