Consider a particle trapped in the third excited state of an infinite square well potential of width L. (a) Write down and sketch the normalized wave function and probability density distribution of the particle in this state. (b) Where is particle most likely to be found? (c) What is the probability of finding the particle between 0.37L and 0.38L? (d) Is this a state of definite kinetic energy? If not, why? If yes, what is the value of kinetic energy in this state? (e) Assuming the particle to be an electron and L = 0.05 nm, find its energy in this state.
Consider a particle trapped in the third excited state of an infinite square well potential of width L. (a) Write down and sketch the normalized wave function and probability density distribution of the particle in this state. (b) Where is particle most likely to be found? (c) What is the probability of finding the particle between 0.37L and 0.38L? (d) Is this a state of definite kinetic energy? If not, why? If yes, what is the value of kinetic energy in this state? (e) Assuming the particle to be an electron and L = 0.05 nm, find its energy in this state.
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Transcribed Image Text:Consider a particle trapped in the third excited state of an infinite square well potential of
width L. (a) Write down and sketch the normalized wave function and probability density
distribution of the particle in this state. (b) Where is particle most likely to be found? (c)
What is the probability of finding the particle between 0.37L and 0.38L? (d) Is this a state
of definite kinetic energy? If not, why? If yes, what is the value of kinetic energy in this
state? (e) Assuming the particle to be an electron and L = 0.05 nm, find its energy in this
state.
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