First slide

Young's double slit Experiment

Question

In Young's double slit experiment slit separation $d = 5 λ$ . Then angular separation between 5th bright fringe and 2nd dark fringe (in radian) is

Moderate

A

0.70
B

0.82
C

1.10
D

1.42

Solution

Distance of 5th bright fringe from the centre of screen, $y_{5} = 5 λD / d$ and the distance of second dark fringe from the centre of the screen $y_{2} = (1 + \frac{d}{2}) λD / d = \frac{3 λD}{2 d}$
$∴$ Angular separation $= \frac{y_{5} - y_{2}}{D} = \frac{\frac{5 λD}{d} - \frac{3 λD}{2 d}}{D} = \frac{7 λ}{2 d}$
$= \frac{7 λ}{2 \times 5 λ} = 0 .7 radian$

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