If 500-nm and 650 -nm light illuminates two slits that are...

If $500-\mathrm{nm}$ and 650 -nm light illuminates two slits that are separated by $0.50 \mathrm{mm}$, how far apart are the secondorder maxima for these two wavelengths on a screen $2.0 \mathrm{m}$ away?

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Key Concepts

Double-Slit Interference

A phenomenon where coherent light passes through two narrow, closely spaced slits and produces an interference pattern on a screen due to the superposition of waves from the two slits. The resulting pattern of bright and dark regions is a direct consequence of constructive and destructive interference.

Wavelength

The distance between successive peaks of a wave, which determines the interference pattern in experiments. Different wavelengths of light will produce fringes at different positions on the interference pattern due to their varying path length differences.

Order of Maxima

The integer (or sometimes fractional in the context of more complex patterns) that denotes the specific bright fringe in an interference pattern. It relates to the path length difference between the two slits, following the principle that constructive interference occurs when the path difference is an integer multiple of the wavelength.

Small-Angle Approximation

An approach used when the angle of diffraction is small, allowing sin ? to be approximated by ? (in radians), which simplifies the calculation of fringe positions on the screen. This approximation is crucial for relating the geometrical parameters of the setup to the observed interference pattern.

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