Please Solve this in 30 minutes Question 15 (based on material in Unit 20) (a) A muon is in a one-dimensional square pot

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Please Solve this in 30 minutes Question 15 (based on material in Unit 20) (a) A muon is in a one-dimensional square pot

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Please Solve this in 30 minutes
Question 15 (based on material in Unit 20)
(a) A muon is in a one-dimensional square potential well. The
muon is in the n-3 state. The potential energy at the bottom of the
well is zero and the walls are separated by 2.00 x 10-8 m.
(i) Suppose that the potential energy at the top of the well
is
infinite. The solution of the wavefunction is a standing
wave.
Calculate the wavelength of this standing wave. (ii) Now suppose
that the potential energy at the top of the well is finite, but
still higher than the total energy of the muon. Sketch the
wavefunction of the muon. Label the positions of
the walls of the potential well on your sketch.
(iii) For the same situation as in part (ii), now sketch the
probability of detecting the muon at a given position.
Please Solve This In 30 Minutes Question 15 Based On Material In Unit 20 A A Muon Is In A One Dimensional Square Pot 1
Please Solve This In 30 Minutes Question 15 Based On Material In Unit 20 A A Muon Is In A One Dimensional Square Pot 1 (88.04 KiB) Viewed 129 times
Question 15 (based on material in Unit 20) A muon is in a one-dimensional square potential well. The muon is in the n-3 state. The potential energy at the bottom of the well is zero and the walls are separated by 2.00 x 10-8 m. (i) Suppose that the potential energy at the top of the well is infinite. The solution of the wavefunction is a standing wave. Calculate the wavelength of this standing wave. (ii) Now suppose that the potential energy at the top of the well is finite, but still higher than the total energy of the muon. Sketch the wavefunction of the muon. Label the positions of the walls of the potential well on your sketch. (iii) For the same situation as in part (ii), now sketch the probability of detecting the muon at a given position.
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