(I) Suppose the wave function for an electron at time t = 0 is given by...

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(I) Suppose the wave function for an electron at time t = 0 is given by (x,0) = V2/L sin(57a/L). Which one of the following is the wave function at time t? (a) p(r, t) = VE sin(57r/L) cos(E,t/h) (b) p(x, t) = Vž sin(5m2/L)e-iEst/h (c) Both (a) and (b) above are appropriate ways to write the wave function. (d) None of the above. (II) The wave function for an electron at time t =0 is given by (r,0) = /7 sin(5mx/L). Which one of the following is true about the probability density, (r, t)F, after time t? (a) (x, t)f = sin (57z/L) cos (Est/h). (b) l(r, t)² = } sin?(5nx/L)e-12EST/h. (c) b(r, t) = sin (57a/L) which is time-independent. (d) None of the above. 4 (I) Suppose the wave function for an electron at time t = 0 is given by (x,0) = V2/L sin(57a/L). Which one of the following is the wave function at time t? (a) p(r, t) = VE sin(57r/L) cos(E,t/h) (b) p(x, t) = Vž sin(5m2/L)e-iEst/h (c) Both (a) and (b) above are appropriate ways to write the wave function. (d) None of the above. (II) The wave function for an electron at time t =0 is given by (r,0) = /7 sin(5mx/L). Which one of the following is true about the probability density, (r, t)F, after time t? (a) (x, t)f = sin (57z/L) cos (Est/h). (b) l(r, t)² = } sin?(5nx/L)e-12EST/h. (c) b(r, t) = sin (57a/L) which is time-independent. (d) None of the above. 4

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