QUESTION 12 Amorta (continuation of the previous problem) It can be shown that the maximum in the wavelength distribution for blackbody radiation can be approximated well by the formula hc 4.965 kg where h = 6.62607015 10-34 J sec, kg = 1.38068 * 10-23 JK, and c = 2.99792458 * 108 m/sec, Tis in K, and Amax is given in m (b) If the visible portion of the electromagnetic spectrum spans the wavelengths from 400 to 700 nm, what is the largest temperature that would have its value of Amax in the visible range? Report your answer in K QUESTION 13 d and match the indicated operations 2= x and BE dix . : Consider the localized wavefunction given by X-2 -2/2. Use the definitions on this function with the result of those operations A (1-XXX) B. (2 - x?)(x) C1-Jux) (1 - uces te zuen F. x(x) 6 xy(x) H x x) D E QUESTION 14 Using the result from part (a), evaluate 1 (2+82) 4(x). (choose one) ZX Ilo (10 ( 4(x) x2 2 w(x) +) (1-4) w(x) x2 2 w(x) e (1/2 + x) 4x) ) (1+x) 4(x) (1-x) 4(x) 1 (x) X QUESTION 15 How would you characterize wix) from these results? yax) is an eigenfunction of p, but not of 4 (2+). ) is not an eigenfunction of either for(+7. AUX) is an eigenfunction of 2 (2+82), but not of Wux) is an eigenfunction of both ? and (+72), QUESTION 16 Enginy The energies in a 2D particle-in-a-box are given by ? in which the box is a square enclosure with 2x = Ly=L, and nx ny = 1, 2, 3,.... (a) If the particle is an electron and L = 200 pm (assume three significant figures), find the value of the lowest energy level in units of 10-18 / (that is, if the energy is 5.00 x 10-18 J, you would report it as "5.00"), arne z 6,7+7,3) QUESTION 17 The quantum numbers for several eigenstates are listed below. Match each with its degeneracy. Be careful, and note that states like (2,9) and (6,7) are also degenerate for this system! (1,2) A2 (2.2) B. 1 : (3,5) (1,7) 0.3 E.5 0.4 or WA