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In the Newtons ring experiment, determine the ring number that will have double the diameter of the $40^{th}$ dark ring.

Subject: Applied Physics 2

Topic: Interference And Diffraction

Difficulty: Medium

1 Answer
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For dark ring , $D_n^2 = 4nλR$,

$ D_{40}^2 = 4 \times 40 \times λ \times R$………………………………(1)

Let n$^{th}$ be the order of ring whose diameter is double the diameter of 40$^{th}$ dark ring .

$(2 D_{40} )^2 = 4 \times n \times λ \times R$……………………………….(2)

From equation 1 and 2,

$ \frac{D_{40}^2}{4D_{40}^2} = \frac{40}{n} $

Therefore n= 160

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