My Learning Cart
?
Categories
Account

If the wavelength of light used in a diffraction experiment is halved, what happ

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

What’s inside this PDF?

Question: If the wavelength of light used in a diffraction experiment is halved, what happens to the angular position of the first minimum in a single-slit diffraction pattern?

Options:

  1. It remains the same
  2. It doubles
  3. It halves
  4. It quadruples

Correct Answer: It halves

Solution: 

Halving the wavelength will halve the angle for the first minimum, as the position of minima is directly proportional to the wavelength.

If the wavelength of light used in a diffraction experiment is halved, what happ

Practice Questions

Q1
If the wavelength of light used in a diffraction experiment is halved, what happens to the angular position of the first minimum in a single-slit diffraction pattern?
  1. It remains the same
  2. It doubles
  3. It halves
  4. It quadruples

Questions & Step-by-Step Solutions

If the wavelength of light used in a diffraction experiment is halved, what happens to the angular position of the first minimum in a single-slit diffraction pattern?
  • Step 1: Understand that in a single-slit diffraction pattern, the position of the minima (dark spots) is determined by the wavelength of light used.
  • Step 2: Recall the formula for the angular position of the first minimum in a single-slit diffraction pattern, which is given by the equation: sin(θ) = λ / a, where λ is the wavelength and a is the width of the slit.
  • Step 3: Note that if the wavelength (λ) is halved, the new wavelength becomes λ/2.
  • Step 4: Substitute the new wavelength into the formula: sin(θ') = (λ/2) / a, where θ' is the new angle for the first minimum.
  • Step 5: Since sin(θ) is directly proportional to λ, halving λ means that sin(θ') will also be halved, leading to a smaller angle θ'.
  • Step 6: Conclude that halving the wavelength results in halving the angle for the first minimum.
  • Diffraction and Wavelength Relationship – The relationship between wavelength and the angular position of minima in a single-slit diffraction pattern, where the position of minima is directly proportional to the wavelength.
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