Interference minima:

$\overline{){\mathbf{y}}{\mathbf{}}{\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{}}{\mathbf{\theta}}{\mathbf{=}}{\mathbf{m}}{\mathbf{\lambda}}}$

Small-angle approximation for angles in radians:

$\overline{){\mathbf{\theta}}{\mathbf{\approx}}{\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{}}{\mathbf{\theta}}{\mathbf{\approx}}{\mathbf{t}}{\mathbf{a}}{\mathbf{n}}{\mathbf{}}{\mathbf{\theta}}{\mathbf{}}{\mathbf{\approx}}\frac{\mathbf{d}}{\mathbf{L}}}$

L = 2.0 m

d = 0.50 mm (1m/1000mm) = 5.0 × 10^{-4} m

λ = 500 nm(10^{-9}m/1nm) = 500 × 10^{-9} m

A 0.50-mm-wide slit is illuminated by light of wavelength 500 nm.

What is the width of the central maximum on a screen 2.0 m behind the slit?

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