The wave function for a particle in a box with length a is: (x)=c* = c...

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The wave function for a particle in a box with length a is: (x)=c* = c * cos Hint: cos () dx = Lo x cos (xx) dx a x cos (7+) dx = a 4 dx=- 1 3 2+ a) Find c for the wave function. b) Calculate the variance for the position of the particle. c) Calculate the variance for the momentum of the particle. h d) Uncertainty principle states that op is this true for this wavefunction? The wave function for a particle in a box with length a is: (x)=c* = c * cos Hint: cos () dx = Lo x cos (xx) dx a x cos (7+) dx = a 4 dx=- 1 3 2+ a) Find c for the wave function. b) Calculate the variance for the position of the particle. c) Calculate the variance for the momentum of the particle. h d) Uncertainty principle states that op is this true for this wavefunction?