Optics Question 174

Question: The ratio of the intensity at the centre of a bright fringe to the intensity at a point one-quarter of the distance between two fringe from the centre is

Options:

A) 2

B) 1/2

C) 4

D) 16

Show Answer

Answer:

Correct Answer: A

Solution:

I=4I0cos2φ2 At central position I1=4I0 –(i)

Since the phase difference between two successive fringes is 2x,

the phase difference between two points separated by a distance equal to one quarter of the distance between the two, successive fringes is equal to δ=(2π)(14)=π2 radian

I2=4I0cos2(π22)=2I0 –(ii)

Using (i) and (ii), I1I2=4I02I0=2



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