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Light of wavelength 600 nm is incident normally on a diffraction grating 3.00 cm wide. If second order line is observed at an angle of 30°, what is the total number of lines on the grating?

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  1. 14500
  2. 15000
  3. 12500
  4. 13500

Answer (Detailed Solution Below)

Option 3 : 12500
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Detailed Solution

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Concept:

A diffraction grating consists of a large number (n) of equally spaced narrow slits or lines.

d sin θ = mλ

Calculation:

Given:

Let there are n lines over 3 cm wide diffraction grating.

d = 3/n cm = 30/n mm

λ = 600 nm = 600 × 10-9 m, d = 3 cm = 30 mm,

d sin θ = mλ

n = 12500

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