NAME PHYSICS 222 FiNAL EXAM WEDNESDAY APRIL 30 2008 PLEASE PRINT 40 1 For the potential energy shown below with particles in Region II moving in the minus x direction find the values of three of the four arbitrary constants in terms of the remaining one The way it is usually set up these would be A B C and D START WITH THE TIME INDEPENDENT WAVE EQUATION AN SHOW ALL STEPS CLEARLY Region II Region I I1 Particles lx o 1 I Ii b ti tl x 1 K t cx 4 V It ri U 4 t I c t 1 t l 11 I 0 I 1 I 1 4 3 k I w I ci I 1 4 c 4 I 1 1 N tl 30 2 Astronomers discover a planet orbiting around a star similar to our sun that is 20 light years away How fast must a rocket ship go if the round trip is to take no longer than 40 years in time for the astronauts aboard o y 2 v I A s4irufrJ CJy tt Lii I C 3 2 fZX 10 2 area oriented at right angles to the sun s rays 30 3 At the surface of the earth a I m e that the sun is a blackbody receives abut 1300 J of radient energy each second Assum radius of the sun is about radiator What is the surface temperature of the sun the 7 x 10 m and the earth is about 1 49 x 1 m from the sun L 7X cLI 26 2TIc 4 Lf tZ7Kit 4 2 T LI T 27K1 57k 7 10 4 One proton is moving at speed 0 4 c and another proton is moving at speed 0 8 c The ratio of the relativistic mass of the faster proton to that of the slower is a b c d 1 0 1 5 2 0 2 3 441 4 1 I I t C j cz 10 5 If a surface has a work fhnction of 1 5 eV and photons of energy 2 7 eV are shone on the surface which of the following are a possible kinetic energy of the electrons emitted from the surface a 1 0eV b 2 OeV c no electrons are emitted d non of the above answers are correct 4 t SQV lAy A A 1LL A 1 i cV t AX 1 10 6 In the spectrum of a blackbody the wavelength of peak intensity a b c d is independent of temperature increases as temperature increases decreases as temperature increases is0 0029m A 0 A Tt f4v A r ct A4 10 7 What is the probabi1it of finding a particle in the region from x I to x 2 if its wave function is I 0 030 x in that region a b c d 5 6x 10 3 4 x i0 6 Ox 102 2 p S C x 10 8 As a result of Compton scattering the scattered photon a b c d has the same wavelength as the incident photon has a longer wavelength than the incident photon has a shorter wavelength than the incident photon has a wavelength 24pm longer than the incident photon 7 4wei9 1 e 4 1 P u i kc 1er E X
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