Basic Newton's Rings Numerical Problem

In summary, the conversation discusses a problem related to Newton's Rings Experiment. The question is about finding the order of a dark ring with double the diameter of the 20th dark ring. The experiment involves a thin film of air with a refractive index of 1 and light incident at a 90 degree angle. The conversation also mentions an equation involving the difference between squares of diameters and the order of the ring. However, the Original Poster is struggling to find a solution with the given information.
  • #1
sayansh
1
0
In Newton's Rings Experiment, what will be the order of the dark ring which will have double the diameter of that of the 20th dark ring? Wavelength(lambda = 5890 Angstrom); Radius of curvature is not given. Thin film is made of air, so refractive index is 1. And the light is incident normally (90 degrees)Difference between squares of diameters = 4R(lambda){m - n} m is the order of the higher order ring (the ring we have to find in this case), and n is the order of the ring we know (20). Also, Diameter square/4*Radius of Curvature = order of the ring*wavelength
Tried finding radius of curvature in terms of diameter square and later substituting in first equation, but was left with 2 variables and 1 equation, tried substituting values in first equation but again was left with 2 variables in 1 equation. Is there another way of solving this that i am missing? Help would be really appreciated..
 
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  • #2
I am getting in fraction
What is the answer actually
 
  • #3
This is an old thread from 2010, and the Original Poster (sayansh) made just the one post and never returned.

@Sweta : If you would like help with this or a similar problem, please start a new thread of your own. Be sure to use the provided formatting template and show us what you've tried.
 
  • #4
@gneill actually I tried it but I am not getting the answer
Can u pls solve it??
 
  • #5
Sweta said:
@gneill actually I tried it but I am not getting the answer
Can u pls solve it??
That's not how things work here. Please read the forum rules (which you agreed to abide by when you joined). Also take a look at:

Guidelines for students and helpers, for tips on how to create effective homework help requests.
 

What is the concept behind Basic Newton's Rings Numerical Problem?

The Basic Newton's Rings Numerical Problem is based on the phenomenon of interference between two curved surfaces, specifically a spherical lens and a flat glass plate. When light is reflected between these surfaces, it creates a series of concentric rings known as Newton's rings. This problem involves using numerical methods to calculate the radius of curvature of the lens, the thickness of the air gap, and the refractive index of the air.

How do you calculate the radius of curvature of the lens in Basic Newton's Rings Numerical Problem?

The radius of curvature of the lens can be calculated by measuring the diameter of the rings and using the formula R = (n+½)λr, where n is the number of rings, λ is the wavelength of light, and r is the radius of the rings.

What is the significance of Basic Newton's Rings Numerical Problem in optics?

Basic Newton's Rings Numerical Problem is important in optics because it allows us to accurately measure the radius of curvature of lenses, which is a crucial parameter in the design and manufacturing of optical instruments such as microscopes and telescopes.

What numerical methods are used in solving Basic Newton's Rings Numerical Problem?

There are various numerical methods that can be used to solve Basic Newton's Rings Numerical Problem, such as the Newton-Raphson method, the bisection method, and the secant method. These methods involve iteratively solving equations until a desired level of accuracy is achieved.

What factors can affect the accuracy of the results in Basic Newton's Rings Numerical Problem?

The accuracy of the results in Basic Newton's Rings Numerical Problem can be affected by factors such as the quality of the optics used, the accuracy of the measurements taken, and the accuracy of the chosen numerical method. Additionally, factors such as the wavelength of light and the refractive index of the air can also impact the accuracy of the results.

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