Consider two diffraction gratings. One grating has 3000 lines per cm, and the other one has 6000 lines per cm. Both gratings are illuminated with a beam of the same monochromatic light. Which grating produces the greater dispersion?

Both gratings produce the same dispersion.
The grating with 3000 lines produces the greater dispersion.
The grating with 6000 lines produces the greater dispersion.
The dispersion cannot be determined without additional information.

3 answers

the 6000 lines/cm has the greatest dispersion
That is what the grating is all about !
but why