The pressure exerted by a column of liquid is equal to the product of the height of the column times the gravitational constant times the density of the liquid, how high a column of methanol would be supported by a pressure that supports a 713 mm column of mercury.

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?