Suppose you used a needle to poke two holes in a sealed tube of toothpaste. One hole is near the cap and one hole is near the middle of the tube. You then squeeze the tube at the base. Compare how the toothpaste will leave each needle hole. Explain

Aparticle of mass m is placed in a one-dimensional box of length l. the box is so small that the particle’s motion is relativistic, so that e p2/2m is not valid. (a) derive an expression for the energy levels of the particle using the relativistic energy–momentum relation and the quantization of momentum that derives from connement. (b) if the particle is an electron in a box of length l 1.00 1012 m, nd its lowest possible kinetic energy. by what percent is the nonrelativistic formula for the energy in error?