Final answer:
The question requires application of physics concepts to calculate the diffraction pattern produced by monochromatic light and the frequency of a photon emitted from a CRT. By applying relevant formulas, we can solve for the required quantities based on the principles of diffraction and photon energies in quantum mechanics.
Step-by-step explanation:
The question posed here relates to fundamental concepts of physics that involve the behavior of light and electromagnetic waves. It explores phenomena like diffraction and the energy of photons, applications of which can be found in optics and modern electronics.
Diffraction
For the given question about monochromatic light, we use the diffraction grating formula to find the separation between the maxima:
d sin(θ) = mλ where d is the slit separation, θ is the diffraction angle, m is the order number, and λ is the wavelength of light.
With a slit separation (d) of 0.020 mm and light of frequency 5.5 x 1014 Hz, we can calculate the wavelength using λ = c/f, where c is the speed of light and f is the frequency.
Energy of Photons
The energy of a photon, produced in old color television sets using a CRT with a specific accelerating potential, can be found with the equation E = eV, where E is the energy of a photon, e is the elementary charge, and V is the accelerating potential.
Applying a 25.0-kV potential results in a photon with energy calculated by this equation, which can then be used to find the frequency with f = E/h, where h is Planck's constant.