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

Related Test

A particle of mass m is confined in the potential

Let the wave function of the particle be given by

where y0 and y1 are the eigen functions of the ground state and the first excited state respectively. The expectation value of the energy is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?

Answers


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

for ground state n = 0, E = 
for first excited state n =1, E = 

 

View courses related to this question
Explore GATE courses
Explore GATE courses
View courses related to this question
1 Crore+ students have signed up on EduRev. Have you?

Similar GATE Doubts

Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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 detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice GATE tests.
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 =