What are the correct values of the numbers in the following statements? Assume there are no external forces, and take N=1 to mean that the statement cannot be made for any meaningful number of particles. If a particle at rest explodes into N_{1} or fewer particles with known masses, and the total kinetic energy of the new particles is known, the kinetic energy of each of the new particles is completely determined.
If a particle at rest explodes into N_{2} or fewer particles, the velocities of the new particles must lie in a line.
If a particle at rest explodes into N_{3} or fewer particles, the velocities of the new particles must lie in a plane.
Answer Choices
A. N_{1}=2, N_{2}=1, N_{3}=1
B. N_{1}=1, N_{2}=2, N_{3}=3
C. N_{1}=2, N_{2}=2, N_{3}=3
D. N_{1}=3, N_{2}=2, N_{3}=3
E. N_{1}=2, N_{2}=3, N_{3}=4