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Standard XII
Physics
Superposition and Interference
Question

In a double slit experiment, the distance between the slit is d.The screen is at a distance D from the slits and $$\lambda $$ is the wavelength of light used. If a dark fringe is formed opposite to a slit on the screen the order of fringe is.

A
$$\frac{{{d^2} + \lambda D}}{{2\lambda D}}$$
B
$$\frac{{D\lambda + d}}{{2d}}$$
C
$$\frac{{{D^2} + d\lambda }}{{2\lambda }}$$
D
$$ - \frac{{\left( {D + d} \right)}}{{2\lambda }}$$
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Solution
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Correct option is A. $$\frac{{{d^2} + \lambda D}}{{2\lambda D}}$$

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