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In a Newton's ring experiment, if the radius of the first dark ring is found to

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Question: In a Newton\'s ring experiment, if the radius of the first dark ring is found to be r, what is the radius of the second dark ring? (2020)

Options:

  1. r
  2. 2r
  3. √2r
  4. r/2

Correct Answer: 2r

Exam Year: 2020

Solution: 

The radius of the dark rings in Newton\'s rings is proportional to the square root of the ring number. Thus, the second dark ring will have a radius of 2r.

In a Newton's ring experiment, if the radius of the first dark ring is found to

Practice Questions

Q1
In a Newton's ring experiment, if the radius of the first dark ring is found to be r, what is the radius of the second dark ring? (2020)
  1. r
  2. 2r
  3. √2r
  4. r/2

Questions & Step-by-Step Solutions

In a Newton's ring experiment, if the radius of the first dark ring is found to be r, what is the radius of the second dark ring? (2020)
  • Step 1: Understand that in a Newton's ring experiment, dark rings are formed due to interference of light.
  • Step 2: Know that the radius of the dark rings is related to their order number (1st, 2nd, etc.).
  • Step 3: The radius of the first dark ring is given as 'r'.
  • Step 4: The formula for the radius of the dark rings is proportional to the square root of the ring number.
  • Step 5: For the first dark ring (ring number 1), the radius is r.
  • Step 6: For the second dark ring (ring number 2), the radius can be calculated as: radius = k * sqrt(2), where k is a constant.
  • Step 7: Since the radius of the first dark ring is r, we can say that the radius of the second dark ring is 2r.
  • Newton's Rings – The phenomenon of interference patterns created by the reflection of light between two surfaces, typically a convex lens and a flat glass plate.
  • Dark Rings and Ring Number Relationship – The radius of the dark rings in Newton's rings is proportional to the square root of the ring number, meaning the radius of the nth dark ring is given by r_n = sqrt(n) * r.
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