Arrangement of Elements Imagine yourself in the shoes of Dimitri Mendeleev. You are provided with two sets of cards that list properties of various elements. These cards
resemble the cards used by Mendeleev when he grouped elements. One set of cards lists the names of known elements and their properties, while the
other set of cards lists the properties of a few unknown elements. These sets are shown below.

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?