# Problem: A 500 lines per mm diffraction grating is illuminated by light of wavelength 510 nm.What is the angle of each diffraction order?θ = _______o

###### FREE Expert Solution

Bright fringes are formed at:

$\overline{){\mathbf{d}}{\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{\theta }}{\mathbf{=}}{\mathbf{m}}{\mathbf{\lambda }}}$ d is the slit width and m is the order.

d = 1/N

N = 500 lines/mm(1000mm/1m) = 5 × 105 lines/m

θ = sin-1(mλ/d) = sin-1(Nmλ)

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###### Problem Details

A 500 lines per mm diffraction grating is illuminated by light of wavelength 510 nm.

What is the angle of each diffraction order?

θ = _______o