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  • White light is used to illuminate the two slits in Young's double slit experiment, separation between the slits is b and the screen is at a distance <img alt="d(>>b)" src="https://entranc

White light is used to illuminate the two slits in Young's double slit experiment, separation between the slits is b and the screen is at a distance d(>>b) from the slits. At a point on the screen, directly in front of the slits, certain wavelengths are missing. Some of these missing wavelengths are

Option: 1

\frac{b^{2}}{d}


Option: 2

\frac{b^{2}}{3 d}


Option: 3

\frac{2 b^{2}}{3 d}


Option: 4

 both a and b


Answers (1)

best_answer

\mathrm{Path\: difference =\left(d+\frac{b^{2}}{2 d}\right)-d=\frac{b^{2}}{2 d}}
For missing wavelengths,
\mathrm{(2 n-1) \frac{\lambda}{2}=\frac{b^{2}}{2 d}}
\mathrm{\text { If } n=1, \frac{\lambda}{2}=\frac{b^{2}}{d}}
\mathrm{\text { If } n=2,3 \times \frac{\lambda}{2}=\frac{b^{2}}{2 d} \text { or } \lambda=\frac{b^{2}}{3 d}}

Posted by

Ritika Jonwal

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