Answer:
Option B, The grating with 6000 lines produces the greater dispersion
Explanation:
The diffraction ability of the grating is equal to the angular dispersion which depends on the dispersion angle.
As per the equation
[tex]\frac{dD}{d\lambda} = \frac{m}{a cos D}[/tex]
where
[tex]\frac{dD}{d\lambda}[/tex] represent the angular dispersion, m represents the order, a represent the spacing of the lines with in the grit and D represents the diffraction angle.
As per the equation, angular dispersion is inversely proportional to the number of lines (grit line spacing). Thus, the spacing should be minimum to produce greater angular dispersion.
Hence, option B is correct
