Find the Angle for the Third-Order Maximum for 583 nm Wavelength Light Falling on a Diffraction Grating

What is the angle for the third-order maximum for 583 nm wavelength light falling on a diffraction grating with 1510 lines per centimeter?

The angle for the third-order maximum for 583 nm wavelength light falling on a diffraction grating with 1510 lines per centimeter is approximately 0.119 radians.

Explanation:

To find the angle for the third-order maximum, we can use the formula for the diffraction angle of a diffraction grating: sin(θ) = mλ / d Where: - θ is the angle of diffraction - m is the order of maximum - λ is the wavelength of light - d is the spacing between the lines on the grating In this case, the order of maximum is 3, the wavelength of light is 583 nm (or 5.83 x 10^-7 m), and the spacing between the lines on the grating is given as 1510 lines per centimeter (or 1.51 x 10^4 lines per meter). Plugging the values into the formula: sin(θ) = (3)(5.83 x 10^-7 m) / (1.51 x 10^4 lines/m) Solving for θ: θ ≈ 0.119 radians
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