GATE Question > A particle of mass m is confined in the poten...

A particle of mass m is confined in the potential

Let the wave function of the particle be given by

where y_{0} and y_{1} are the eigen functions of the ground state and the first excited state respectively. The expectation value of the energy is

Let the wave function of the particle be given by

where y

- a)
- b)
- c)
- d)

Correct answer is option 'C'. Can you explain this answer?

y

for ground state n = 0, E =

for first excited state n =1, E =

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A particle of mass m is confined in the potentialLet the wave function of the particle be given bywhere y0 and y1 are the eigen functions of the ground state and the first excited state respectively. The expectation value of the energy isa)b)c)d)Correct answer is option 'C'. Can you explain this answer? for GATE 2023 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A particle of mass m is confined in the potentialLet the wave function of the particle be given bywhere y0 and y1 are the eigen functions of the ground state and the first excited state respectively. The expectation value of the energy isa)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass m is confined in the potentialLet the wave function of the particle be given bywhere y0 and y1 are the eigen functions of the ground state and the first excited state respectively. The expectation value of the energy isa)b)c)d)Correct answer is option 'C'. Can you explain this answer?.

A particle of mass m is confined in the potentialLet the wave function of the particle be given bywhere y0 and y1 are the eigen functions of the ground state and the first excited state respectively. The expectation value of the energy isa)b)c)d)Correct answer is option 'C'. Can you explain this answer? for GATE 2023 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A particle of mass m is confined in the potentialLet the wave function of the particle be given bywhere y0 and y1 are the eigen functions of the ground state and the first excited state respectively. The expectation value of the energy isa)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass m is confined in the potentialLet the wave function of the particle be given bywhere y0 and y1 are the eigen functions of the ground state and the first excited state respectively. The expectation value of the energy isa)b)c)d)Correct answer is option 'C'. Can you explain this answer?.

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y0 ground state eigen function y,® first excited state eigen function energy eigen value E =(n+1/2)ωfor ground state n =0, E =for first excited state n =1, E =