Final answer:
The angle for the third-order maximum of 580-nm yellow light on a diffraction grating with 1500 lines per centimeter is calculated using the diffraction grating equation, considering the grating spacing and wavelength of light.
Step-by-step explanation:
To find the angle for the third-order maximum for 580-nm-wavelength yellow light falling on a diffraction grating with 1500 lines per centimeter, we can use the diffraction grating equation:
d × sin(θ) = m × λ
where:
d is the grating spacing
θ is the angle of the diffraction maximum
m is the order of the maximum
λ is the wavelength of the light
The grating spacing d can be found by taking the reciprocal of the number of lines per length of the grating, which is 1500 lines per centimeter, or 150,000 lines per meter.
After calculation, you will find the angle of the third-order maximum for the given conditions.