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Question: In an interference pattern of a point we observe 16<sup>th</sup> bright fringe for l<sub>1</sub> = 6...

In an interference pattern of a point we observe 16th bright fringe for l1 = 6000 Å. What order will be visible if the source is replaced by another bright fringe l2 = 4800 Å?

A

12

B

20

C

18

D

24

Answer

20

Explanation

Solution

The distance of a bright fringe from zero order fringe is given by xn =nλD2d\frac{n\lambda D}{2d}

Then at a given point n l is constant n1l1 = n2l2

n2 =n1λ1λ2\frac{n_{1}\lambda_{1}}{\lambda_{2}}=16×60004800\frac{16 \times 6000}{4800}= 20