If the energy of a photon is measured in eV and its momentum is measured in eV/c, how do the two compare?
- The momentum is bigger.
- They are the same.
- The energy is bigger.
- If it is infrared light or longer, the momentum is bigger. Otherwise the energy is bigger.
- If it has a shorter wavelength than x-rays, the energy is bigger. Otherwise the momentum is bigger.
For slow speeds, how does the relativistic momentum measured in eV/c compare with the relativistic energy E measured in eV?
- The momentum is always a lot bigger than the energy.
- The energy is always a lot bigger than the momentum.
- The momentum and energy are approximately equal.
- The momentum goes to zero as the speed approaches zero.
- The energy approaches zero as the speed approaches zero.
If the relativistic momentum is measured in units of MeV/c and the energy is measured in MeV, how do the momentum and energy compare as the energy gets very large (i.e.) much larger than the rest mass of the particle)?
- The momentum gets much larger than the energy.
- They become nearly equal.
- The energy becomes much larger than the momentum.
- They oscillate back and forth (this is the source of neutrino oscillations).
- It depends on the potential energy of the system.
No matter how much energy I add to an object, I can't get it to go faster than the speed of light (or even as fast as the speed if light if it has mass). Is its momentum similarly limited?
- Yes. Since p=mv and the mass doesn't change, the momentum can only get so big.
- No, it can be as big as you want.
- It can grow as big as you want by increasing the rest mass, even though the speed is limited.
- Yes, it is limited because the total energy can't exceed mc2.
- It depends on more information than you have supplied.
A particle's relativistic kinetic energy K is the difference between its total energy and the energy it has at rest by virtue of its mass m. How does the relativistic kinetic energy compare with the non-relativistic kinetic energy?
- They're always equal.
- The relativistic kinetic energy is always larger.
- The non-relativistic kinetic energy is always larger.
- Sometimes one is larger and sometimes the other is larger.
In a fission reaction, a large nucleus breaks into smaller pieces, releasing energy in the process. How does the total mass of the final particles compare to the initial mass of the nucleus?
- The final particles have more mass.
- The final particles have the same mass.
- The final particles have less total mass.
- The mass of the real particles goes up, but the anti-particles have negative mass keeping the sum to be the same.
- It depends on the nucleus.
In a fusion reaction, two or more nuclei are combined to form a larger nucleus. Nuclei with atomic numbers less than that of iron can usually be fused in a way that releases energy. In these cases, how would be mass of the resultant nucleus (and any emitted particles) compare to that of the original nuclei?
- The final and initial masses would be the same.
- The final mass would be larger.
- The final mass would be smaller.
- The final mass could be larger or smaller.
- none of these