Final answer:
The correct range for CT scanner x-ray tube voltages is 80 to 140 kilovolts (kV), with option (c) being the correct answer. Calculations for the most energetic x-ray photon can be done using the energy formula, and the wavelength can be found with the formula that involves Planck's constant and the speed of light.
Step-by-step explanation:
The CT scanner x-ray tube voltages typically range from 80 to 140 kilovolts (kV). Option (c) 80; 140 is the correct range for the operating voltage of a CT scanner. When operated at these voltages, the x-ray tube can produce x-ray photons necessary for imaging different types of tissues and materials within the body. The most energetic x-ray photon that can be produced by a tube with an applied voltage of 100 kV can be calculated by converting this voltage into energy, using the formula E = qV, where E is the energy in electron volts, q is the charge of an electron (1.602 x 10-19 coulombs), and V is the potential in volts. In this case, E would be 100,000 volts multiplied by the charge of an electron, which gives us the energy in joules. To find the wavelength of the most energetic x-ray, we can use the formula λ = hc/E, where h is Planck's constant, c is the speed of light, and E is the energy of the photon.