Answer to Question #92765 in Optics for Tanya Srivastava

Question #92765
In Newton's ring experiment the diameter of bright ring is reduced to 0.8 of its value after introducing a liquid below the convex surface.calculate the refractive index at liquid.
1
Expert's answer
2019-08-19T09:41:33-0400

We can write for radius of bright ring

rk=(2k1)Rλ2n(1)r_{k}=\frac{\sqrt{(2k-1)Rλ}}{\sqrt{2n}} (1)


In our two cases

r1=(2k1)Rλ2(2)r_{1}=\frac{\sqrt{(2k-1)Rλ}}{\sqrt{2}} (2)

r2=(2k1)Rλ2n(3)r_{2}=\frac{\sqrt{(2k-1)Rλ}}{\sqrt{2n}} (3)


According to the condition of the problem, we have

r2=0.8r1(4)r_{2}=0.8 r_{1} (4)



We put (2) and (3) in (4)

n=1.5625


Answer

1.5625


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