Final answer:
The angles for the four maxima will change when using a diffraction grating with 5000 lines per centimeter. The angles can be calculated using the formula sin(θ) = mλ/d. The relationship between reductions in lines per centimeter and the new angles can also be calculated using this formula.
Step-by-step explanation:
When a diffraction grating with 5000 lines per centimeter is used, the angles for the four maxima in the problem will change. The angles can be calculated using the formula:
sin(θ) = mλ/d
where θ is the angle of diffraction, m is the order of the maximum, λ is the wavelength of light, and d is the spacing between the grooves on the grating. By substituting the values given in the problem, the angles can be calculated.
To find the angles for the second-order maxima using the same grating, the formula can be used again with m = 2 and the given wavelength of light. The angles for the different order maxima can be calculated by varying the value of m.
When the lines per centimeter on a diffraction grating are reduced by an integral factor, the angles for the various order maxima will also change. The relationship between the reduction in lines per centimeter and the new angles can be calculated using the same formula.