Given: The bulk modulus this metal is B = 1.9 × 1011 N/m2 . Atmospheric pressure is Patm = 101300 Pa. At the earth’s surface, the pressure is ∆P = −1.0574 × 1010 Pa lower than at a depth of d = 311 km. If a cubic centimeter block of a metal were brought to the surface from this depth, what would be its new volume?

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?