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% A ring which is initially placed at the height / (as measured from its center), rolls down an inclined plane (making an angle with the horizontal) starting from rest. The radius and mass of the ring are a and m. find the angular velocity of the ring as it reaches the bottom of the inclination. g (a) (h-r) tan g (b) h-r 2g (c) h-r (d) g(h-r)