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emmasim [6.3K]
4 years ago
9

3. What color of laser light shines through a diffraction grating with a line density of 500 lines/mm if the third maxima from t

he central maxima (m=3) is at an angle of 45°?
Physics
1 answer:
mestny [16]4 years ago
6 0

Answer:

Wavelength is 471 nm

Explanation:

Given that,

Lines per unit length of diffraction grating is 500 lines/mm.

The third maxima from the central maxima (m=3) is at an angle of 45°

We need to find the color of laser light shines through a diffraction grating.

The condition for maxima is :

d\sin\theta=m\lambda

d = 1/N, N = number of lines per mm

\lambda=\dfrac{1}{Nm}\sin\theta\\\\\lambda=\dfrac{10^{-3}}{500\times 3}\sin(45)\\\\\lambda=4.31\times 10^{-7}\\\\\text{or}\\\\\lambda=471\ nm

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