wave-optics Question 22

Question: Q. 5. (i) In Young’s double slit experiment, two slits are 1 mm apart and the screen is placed 1 m away from the slits. Calculate the fringe width when light of wave length 500 nm is used ? (ii) What should be the width of each slit in order to obtain 10 maxima of the double slit pattern within the central maxima of the single slit pattern?

U [OD 2016]

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Solution:

Ans. (i)

β=λDd =500×109×1103 =0.5 mm or 5×104 m

(ii)

β0=2λDα=10β α=2×500×109×110×5×104 α=2×104 m or 0.2 mm1/2

[CBSE Marking Scheme 2016]



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