For a 250 LPI grating,N=
Answers
Answer:
A diffraction grating diffracts light at 20 ^{\circ}. What will be the wavelength of the light if the grating has 1000 lines per
ANSWER IS GIVEN BELOW
Explanation:
Consider two rays that emerge making the angle θ with the straight through the line. Constructive interference will occur if the difference in their two path lengths is an integral multiple of their wavelength λ i.e.,
Now, n λ=dsin(θ)
where n = 1, 2, 3, …
This is known as the DIFFRACTION GRATING EQUATION.
In this formula, θ is the angle of emergence at which a wavelength will be bright. Also, d is the distance between slits. Obviously,
d = 1N, where N is the grating constant, and it is the number of lines per unit length. Also, n is the order of grating, which is a positive integer, representing the repetition of the spectrum.
Furthermore, a complete spectrum could be observed for n = 1 and another complete spectrum for n = 2, etc., but at the larger angles.