(14%) Problem 7: In this problem, we ask two questions about the motion of the electron in the Bohr model of the hydrogen atom when the atom is in its N-th
energy level, which is the (N-1)-th excited state above the ground state.
50% Part (a) Calculate the magnitude of the translational (orbital) angular momentum of the electron about the proton in the Bohr model of the hydrogen atom
when the atom is int its N-th energy level with $N = 3$. Express your answer in units of $kg \cdot m^2/s$.
$L = $
50% Part (b) In the Bohr model of the hydrogen atom, the radius of the electron's orbit when the atom is in its N-th energy level is given by $r = N^2 a_0$, where $a_0$
denotes the Bohr radius, whose value is approximately $a_0 = 5.29 \times 10^{-11}$ m. Use that relation to find the speed of the electron in its orbit, in meters per second, when
the atom is at its N-th energy level with $N = 3$.
