Pradeep Jogsan posted an Question
September 16, 2021 • 21:37 pm 30 points
  • IIT JAM
  • Physics (PH)

Example 8: a particle is confined to lie in a one-dimensional potential of width a and situated synmetrically about the origin: v(r) = 0 for -a/2< rsal2, and n

Example 8: A particle is confined to lie in a one-dimensional potential of width a and situated synmetrically about the origin: V(r) = 0 for -a/2< rsal2, and n olherwise. If Ylr) denotes the wave function of the particle. which one of the following is true ? (a)P(-al2) = "'(-a/ 2)-0 (c) '(-ai2) = ¥'lai.2) = 0 (b) ¥(-a/2)= "P'la/2)= 0 (d)-al2) = 'V(a/2) =0 IISe-2012

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    Ravi bhushan best-answer

    Here is the detailed solution.

    cropped8723445117459436571.jpg
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    but ans. is b

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    you can assume option B. But from the calculation I am getting none of these.

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    You have to put limits in the wave function. Here box is symmetric, therefore wave function of the ground state will be cosine.

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