Density of states and carrier concentration in a 1d nanotube ion relationship of an arbitrary consider that the energy dispers id nanotube is given as 1 2m where v assume m can start from zero, which means the first sub-band corresponds to m 0 8x105 m/s, h planck's constant, d is the tube diameter, m is an integer (a) (15 points) plot density of states in this tube as a function of energy of energy for e < 2 ev for diameter d = 1 nm and 5 nm. the density of states for id is reported in no. per ev per length. (b) (15 points) calculate the carrier concentration in the nanotube at t = 300 k for equilibrium fermi level ev and 2 ev for d 5 nm. for the 1d case, carrier concentration is measured in no. per unit length of the tube

In the middle of the night you are standing a horizontal distance of 14.0 m from the high fence that surrounds the estate of your rich uncle. the top of the fence is 5.00 m above the ground. you have taped an important message to a rock that you want to throw over the fence. the ground is level, and the width of the fence is small enough to be ignored. you throw the rock from a height of 1.60 m above the ground and at an angle of 54.0 degrees above the horizontal. part a part complete what minimum initial speed must the rock have as it leaves your hand to clear the top of the fence? express your answer with the appropriate units. part b for the initial velocity calculated in the previous part, what horizontal distance beyond the fence will the rock land on the ground?