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Debanjana Adhikari posted an Question
May 24, 2020 • 16:02 pm 30 points
  • CSIR NET
  • Physical Sciences

Which of the following figures is a schematic representation of the phase space trajectories (i.e., contours of constant energy) of a particle moving in a one-d

Which of the following figures is a schematic representation of the phase space trajectories (i.e., contours of constant energy) of a particle moving in a one-dimensional potential V(x)=,**7 (a) (6) (C) (d)

2 Answer(s) Answer Now
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  • comment-profile-img>
    Ruby negi best-answer

    there must be some minus sign in the potential given in the ques either between them or before x^2....

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    try to do by urself too...

  • comment-profile-img>
    Chandra prakash

    dear first of all given potential is wrong in that question correct equation of potential is V(x) = -x^2/2 + x^4 /2. and for solutions see my attached file...

    cropped-878584240.jpg
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    potential is incorrect becoz when we found points it's will get imaginary point.... so correct ur question dear

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    if you have any doubt regarding this prob.. u can ask.

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    and I suggest you before solving this type of prob u draw potential graph from given eq and after all. sketch phase space trajectory dear.....

  • comment-profile-img>
    Ruby negi

    dear,no ans is matching according to given potential , ques must be like -x^2/2+x^4/4 (like vaishali mam did).... the phase curve is like this according to the given potential..

    cropped122556015.jpg
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    check this .

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    you don't plot imaginary value of x on graph between V(x) and x...

  • comment-profile-img>
    Abhishek singh

    there is a typo in the problem. the second term should be negative. Otherwise no option will match. See the solution. fir small oscillation, you can show it by elliptical trajectory in phase space.

    cropped8768708519785253566.jpg
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    ask doubts if any

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