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Question

Physics Question on Youngs double slit experiment

For the given YDSE setup. Find the number of fringes by which the central maxima gets shifted from point O.
(Given d = 1 mm D = 1 m λ = 5000 Å)

A

10

B

15

C

8

D

12

Answer

10

Explanation

Solution

The correct answer is (A) : 10
at central position, path difference, is,
(µ – 1)t1 – (µ – 1)t2
∆x = (µ – 1) (t1 – t2)
Δx=(32−1)(5.11−5.10) mm\Delta\text{x}=(\frac{3}{2}-1)(5.11-5.10)\ mm
=12×(0.001) mm=\frac{1}{2}\times(0.001)\ mm
= 0.005 mm
= 5 × 10–6 m
No. of fringes shifted = Δxλ=5×10−6 m5×10−7 m\frac{\Delta\text{x}}{\lambda}=\frac{5\times10^{-6}\ m}{5\times10^{-7}\ m}