1.The electron in the ground-state of hydrogen has an uncertainty in its position on the order of 10-10 m. Use Heisenberg's uncertainty principle to estimate the average speed of the electron (Hint: in the ground state, the electron's speed should be roughly equal to the uncertainty in its velocity). What fraction of the speed of light is this value? 2.Bohr's model of the atom had the electron in a hydrogen atom going around in a circular orbit (like a miniature planet orbiting a miniature star). Contrast this model with the quantum atom model. How are they similar, and how are they fundamentally different? Is it correct to think about an electron in orbit or even moving in the quantum-atom model? 3.Suppose a red laser beam has a variable intensity (or brightness). As you increase the intensity, does the energy of the individual photons change? If so, how? If this beam was directed at a double-slit partition, how does the pattern on the back screen change as the intensity is increased (does the spacing between the fringes change)?