222 FINAL EXAM FRIDAY MAY 2 2008 PHYSICS NAME PLEASE PRINT square well of width a find the allowed energies for a particle mass m START WITH THE TIME INDEPENDENT WAVE EQUATION AND SHOW ALL STEPS CLEARLY 40 1 For an infinite of It 4 xi1 tj 4 I I I 1 N 11 C S lb I C t r 1 4 4 14 c 3 1 In 30 2 A system is devised to exert a constant force of 8 N on an 80 kg body of mass initially at rest The force pushes the mass horizontally on a frictionless table How far does the body have to be pushed to increase its mass energy by 25 F 2b Wi F t L5o Wt 30 3 A star is determined to have a temperature of 3000K and radiates 400 times as much energy per unit time as the sun What is the radius of this star in sun radii Use 6000K for the temperature of the sun 14M A e6k 1s Lw ZA a ce k 1 o te C LScti 3Lk 3 4TrR 10 4 A light emitting diode emits one microwatt of 640 nm photons How many 9 photons are emitted each second a 3 2 x 1012 b 2 5 x 1020 c 9 7x 1020 3 d 2 0x10 to 3Z 5 4j 9 i E iocc 1 t iv 0 10 5 If electron positron pair production is produced by a 1 50 MeV photon the total KiNETIC ENERGY of the pair produced is a 0 24 MeV b 0 48 MeV c 0 75 MeV d 1 5 MeV l bz ciiS i4 v T 10 6 If the ground state energy level of an 1ectron in an infinite square well is 5 0 eV what is the width of the box a b c d 9 1 x l021 m m 20 7 3 x 10 m 10 1 0x10 m 2 7x 10 I 4 F4 pi 6 2 t 2 L Zfr 9 O e O 1 V 44 Lf io r 4 s a Mi z 314 2 it r 2 x1 x1r z T 1 ic 10 7 If a star has a peak intensity of 580 nm what is its temperature a b c d 2000 K 5000 K 3500 K 4000 K Ar 2 9X k b 10 8 If the total energy of a proton is ten times its rest energy what is its speed WE 1o 4 l 9 fW7 I I 2 I
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