PHYSICS 222 FINAL EXAM MONDAY MAY 5 2008 NAME PLEASE PRINT 40 1 For an infinite square well of width a find the values of all arbitrary constants in terms of a The way we usually set it up they would be A and B START WITH THE TIME INDEPENDENT WAVE EQUATION AND SHOW ALL STEPS CLEARLY rj K 1 U C 1 C 11 C 1 I C Ic 1 c C 3 c 1 1 4 I Vt 1 I 0 Ii I 1 c ii f 0 vTha 4 4 1 30 2 A proton moves with a speed of 0 9 c Find the speed of an electron that has the same momentum as the proton 7 p 1fni 2 Ab Io q Xio 3 79Xio 1 4 C I 9 ii 1 C i I 1q z C I 1 30 3 A 100 watt light bulb operates at 3000 K Assuming it loses energy only by radiation calculate the total surface area of the filament ifl T 5 A 1 1 f ZtK1c 4A 9 watts average power for a month 31 days how 10 4 If a nuclear reactor produces i0 much mass has been converted into energy 1 kg a 3 x i0 k 2 b 3 x 1W f JAys g d 3xlO k 6 L 1 27 Xl I 1f Xl 2 c r 10 5 What is the energy of a photon that has the same wavelength as a 100 eV electron a 50 eV b 100eV c 200eV d 10 000 eV L9 f V 1 4 I 2 LI d A t 2 erIk 1 Z2 k x 10 6 If a particle in an intnite square well has ground state energy of I eV how much higher in energy is the next state a I eV b 2 eV c 3eV d none of the above E j ii le 10 7 Photons of visible wavelengths are shone on a surface starting with one end of the spectrum and gradually proceeding to the other end When 589 nm is reached electrons start coming out of the surface Which of the following is true a b c d the spectrum scan started at the red end the spectrum scan started at the blue end the spectrum scan could have started at either end electrons would not be ejected at this wavelength for any material dj4 4 j1 M CAdt lL4d Irf 9e4 s A ci e causes its 10 8 In the non relativistic case doubling the speed of an electron wavelength to a double b quadruple c halve d decrease by a factor of four p
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