# Problem: A 500 lines per mm diffraction grating is illuminated by light of wavelength 510 nm.How many diffraction orders are seen?mmax= __________

###### 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

The maximum number of orders occurs when θ = 90, sin90 = 1.

###### Problem Details

A 500 lines per mm diffraction grating is illuminated by light of wavelength 510 nm.
How many diffraction orders are seen?
mmax= __________