The energy spectrum of a quantum system consists of just five eigen-values of the hamiltonian, 1 ("l" "l h where e 3 ev, e2 6 ev, es = 10 ev, es = 20 ev, es = 25 ev. consider n 1,2,3,4,5, the following norma lized state of this system: 1 1 1 1 1pa) clps) + 10 (a) find the unknown coefficient e (b) what is the expectation value of the energy in the state l)? (c) what is the probability that the measurement of the energy will give a value greater than this expectation value? (a)151+(b) 5]+(c)151=[15]

The bar of prob. 5/82 is repeated here. the ends of the 0.4-m bar remain in contact with their re- spective support surfaces. end b has a velocity of 0.5 m/s and an acceleration of 0.3 m/s2 in the di- rections shown. determine the angular accelera- tion of the bar and the acceleration of end a.

4. now look at the green lines you created by connecting the three boiling point data points and the three melting point data points. for each of these lines, describe any trends you see. 5. locate the elements on your periodic table that you circled in green on your graph. what term or description would you use to identify these elements with respect to the periodic table? 7. using the room temperature line (orange line) and your periodic table, make lists that identify the state of matter (gas, liquid, or solid) in which each element you plotted exists at room temperature. explain your answers.

Aball of mass 0.3kg is released from rest at a height of 8m. how fast is it going when it hits the ground? accleration due to gravity is g=9.8m/s