My Learning Cart
?
Categories
Account

In a Newton's rings experiment, if the radius of the nth dark ring is r_n, what

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

What’s inside this PDF?

Question: In a Newton\'s rings experiment, if the radius of the nth dark ring is r_n, what is the relationship between r_n and the wavelength λ? (2021)

Options:

  1. r_n ∝ nλ
  2. r_n ∝ √nλ
  3. r_n ∝ n²λ
  4. r_n ∝ n/λ

Correct Answer: r_n ∝ n²λ

Exam Year: 2021

Solution: 

The radius of the dark rings in Newton\'s rings is given by r_n² = nλR, where R is the radius of curvature of the lens. Thus, r_n ∝ nλ.

In a Newton's rings experiment, if the radius of the nth dark ring is r_n, what

Practice Questions

Q1
In a Newton's rings experiment, if the radius of the nth dark ring is r_n, what is the relationship between r_n and the wavelength λ? (2021)
  1. r_n ∝ nλ
  2. r_n ∝ √nλ
  3. r_n ∝ n²λ
  4. r_n ∝ n/λ

Questions & Step-by-Step Solutions

In a Newton's rings experiment, if the radius of the nth dark ring is r_n, what is the relationship between r_n and the wavelength λ? (2021)
  • Step 1: Understand that Newton's rings are formed by the interference of light between a lens and a flat surface.
  • Step 2: Recognize that dark rings appear at certain positions where destructive interference occurs.
  • Step 3: Know that the radius of the nth dark ring is denoted as r_n.
  • Step 4: Learn the formula that relates the radius of the dark rings to the wavelength of light and the curvature of the lens: r_n² = nλR.
  • Step 5: Identify that in this formula, n is the ring number, λ is the wavelength of light, and R is the radius of curvature of the lens.
  • Step 6: From the formula, see that r_n² is directly proportional to n and λ, which means as n or λ increases, r_n² increases.
  • Step 7: Conclude that the relationship can be simplified to r_n ∝ √(nλ), indicating that the radius of the dark rings increases with both the ring number and the wavelength.
  • Newton's Rings – A phenomenon observed in thin films where concentric rings are formed due to interference of light, specifically in the context of a lens and a flat surface.
  • Interference of Light – The principle that explains the formation of dark and bright rings based on the constructive and destructive interference of light waves.
  • Relationship between Radius and Wavelength – The mathematical relationship that shows how the radius of the dark rings is proportional to the wavelength of light used in the experiment.
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