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Question

Physics Question on Wave optics

When one of the slits of Young's experiment is covered with a transparent sheet of thickness 4.8 mm, the central fringe shifts to a position originally occupied by the 30th bright fringe. What should be the thickness of the sheet if the central fringe has to shift to the position occupied by 20th bright fringe ?

A

3.8 mm

B

1.6 mm

C

7.6 mm

D

3.2 mm

Answer

1.6 mm

Explanation

Solution

θ1=s1l1C1=0.01×0.29×60=0.6×0.29\theta_1 =s_1l_1C_1= 0. 01 \times 0. 29 \times 60 = 0.6 \times 0.29 and θ2=s2l2C2=0.02×0.29×30=0.6×0.29\theta_2=s_2l_2C_2= 0. 02 \times 0. 29 \times 30 = 0.6 \times 0.29 Asθ1=θ2As\, \theta_1 =\theta_2 sp net rotation is zero