A semiconductor material with its fermi energy exactly in the middle of the bandgap of 0.400 eV. Calculate the probability to occupy an energy state at the bottom of the conduction band at temperature 300 K and determine the percentage increase in the probability for a temperature rise of 20 K. (a) 5.93x10,57% (b) 4.36x10.33% (c) 5.93×10,39% (d) 4.36 10.46% Two identical particles P and Q of rest mass m., are moving with velocities 812 and 19 in directions x and -x respectively in the lab frame. Calculate the energy of particle P in Q's rest frame. (a) (b) 19 13 (c) m,c² (d) m,c²