Answer:
The grating with 6000 lines produces the greater dispersion
Explanation:
Grating is referred to as any regularly spaced collection of identical, parallel and elongated elements.
The relationship between the lines per measurements of gratings and their dispersion is that; the higher the number of grating lines per measurements (which could be centimetres, metres, etc; preferably metres) increases , the smaller and the narrower the maxima becomes. Gratings with a large numbers of lines per measurements are at their peaks and they product a very sharp and accurate wavelength measurements which gives them a greater dispersion compared to gratings with lower lines per measurements.
Answer:
The second grating produces the greater separation
Explanation:
In a diffraction grating we have
[tex]dsin\theta=m\lambda\\[/tex]
with d:
[tex]d=\frac{1}{N}[/tex]
N : lines/cm
we can compare he separation by takin m as a constant, for example m=1. Hence we have for N=3000 and N=6000:
[tex]sin\theta=N\lambda\\sin\theta=3000\lambda\\sin\theta=6000\lambda\\[/tex]
but sin(theta) = y/D (D, distance to the grating)
[tex]y_1=3000D\lambda\\y_2=6000D\lambda[/tex]
hence, the second grating produces the greater separation, because lambda and D are constant.
hope this helps!
