Question

A diffraction grating used in a spectrometer causes the third-order maximum of blue light with a wavelength of 490 nm to form at an angle of 6.33º from the central maximum (m = 0). What is the separation between the lines of the grating?

Answer 1

The separation between the lines of the grating is 13.33μm.

What is diffraction grating?

The diffraction grating is the continuous lines with very minute slits or grating space in mm.  It divides light composed of various wavelengths into light components by particular wavelength.

dsinθ = nλ

Substitute n =3, λ =490 x 10⁻⁹ m and angle θ =6.33°, we get

d = [3 x 490 x 10⁻⁹ /sin 6.33°]

d = 13.33 x 10⁻⁶ m

Thus, the separation between the lines of the grating is 13.33μm.

Learn more about diffraction grating.

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