# Physics

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Light of wavelength 600 nm illuminates a diffraction grating. The second-order maximum is at angle 39.1°.

How many lines per millimeter does this grating have?

• Physics -

Strictly speaking, it depends upon the angle of incidence. Assume it is zero degrees (normal).

Then use the grating equation. Let d be the groove spacing.

n*(lambda) = d sin(theta)

lamda (the wavelength) = 600*10^-9 m
n = 2
sin(theta) = 0.6307

Solve for d in meters.

Lines per mm = 1000/d(meters)

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