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