NAME PHYSICS 222 FINAL EXAM MAY 11 2009 PLEASE PRINT 25 1 For a particle of mass m in an infinite square well of width a find the values of all coefficients of the wave function Start with the time independent Schroedinger equation and show each step carefully and clearly A 9 20 2 An electron and a proton are separated by a large distance and the electron approaches the proton with a kinetic energy of 2 eV If the electron is captured by the proton to form a hydrogen atom in the ground state what wavelength photon would be given off Show your work clearly V 2 e 2eV o9 I y 4 M 2 V 3V cV 1 c fr t eV U 4 X 4 7 Tungsten is not a 25 3 A tungsten sphere 5 x i0 m in radius is suspended in space of a blackbody What power input blackbody but has an average emissive power that is 0 35 that Show your work clearly is required to maintain the sphere at a temperature of 3000 K rrA i 4 7 xsjq 6k 4 AbC P4 3 3 if4 5 Li FA 6 35 3 3 7 14LK i 1 k iS 4 l4 J 4 10 4 The rest mass of an alpha particle is 6 7 x 10 27 kg If an alpha particle has a kinetic energy of 6 MeV what is its speed is 29x10 m Js d 4 l7xlO m 1s b 41x1 m s c 7 29x10 m a 2 47K1QJ C Kk Y1t2 eV K1 eV f KJe z XcT A7X1 KI 1 5 10 5 in the spectrum of a blackbody the wavelength of peak intensity a is independent of temperature b increases as temperature increases c decreases as temperature increases d is 0 0029m A IA d eAf 10 6 A gamma ray has energy of 1 MeV What is the frequency associated with this photon z d 39Hz 39x10 H H z c 6 26 0 b 24x1O 20 24x1 a Hz r VI q I k tc eV S 1 f x 1 1 10 7 If a surface has a work function of 1 5 eV and photons of energy 2 7 eV are shone on the surface which of the following is a possible kinetic energy of the electrons emitted from the surface a 1 0 eV b 2 0 eV c no electrons are emitted d 3 0 eV 1 2 7 1 V 1 2 V What is the wavelength of this electron eV 10 of rgy ene etic kin a has 10 8 An electron 0 d 39x10 m 0 12x1 1 0 c m 19x1 m 0 b 6 59x1 m a 6 19S 4 I k iiI c Ik tO 1S 7k 7ic3 t 4 J 8 tz e assumed to be given by P A from x 10 9 Suppose a wave function wer t value of A elsewhere Normalization yields wha a a 1 b b a c b a d b A a to x b P 0 the width of a proton in a rigid box is 5 0 MeV what is 10 10 If the ground state energy level of the box 43 rn d 6 4 x i0 rn m c 6 4 x i0 rn b 2 7 x a 2 7 x k o5 Xl itA 41 ha a OLXto i a L4Lf XlL initial 15 days If a sample of this radioisotope has an 10 11 A radioisotope has a half life of will be the activity after 60 days activity of 6 4 x 106 decays per second what 106 decays s d 0 4 x 106 decay s a 0 b 1 6 x 106 decay s c 0 8 x I 1 1 I F 5 t 2 7 H It L q XIV 04 Ic
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