Question

A diffraction grating has 3 x 106 lines per meter. The grating is illuminated by monochromatic plane waves of wavelength 600 nm at normal incidence that forms an interference pattern on a screen located 0.50 m away

a) Find the angle the first bright fringe.

b) Find the angle corresponding to the second bright fringe.

c) Find the angle of the third bright fringe.

slit width on grating (d) = 1/(3*!0^6) m

The equation for interfrence pattern dsin = m a) For first bright fringe

dsin = 1 sin = 600*10^-9 /{1/3*10^6} = 1.8

Not a possible solution

b) for Second bright fringe

d sin = 2 sin = 2* 600*10^-9 /{1/3*10^6} = 3.6

also not a possible solution

c)

for Second bright fringe

d sin = 2 sin = 2* 600*10^-9 /{1/3*10^6} = 5.4

also not a possible solution.

For this grating interefence pattern does not form with this grating.

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