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A mass m, moves in a circular orbit of radius r0 under the influence of a central force whose potential is  Then
  • a)
    A circular orbit is stable at a value of r for which  is positive.
  • b)
    A circular orbit is stable at a value of r for which  is negative.
  • c)
    Circular orbit is stable under small oscillation if n < 3.
  • d)
    Circular orbit is stable under small oscillation if n < 2.
Correct answer is option 'A,D'. Can you explain this answer?
Verified Answer
A mass m, moves in a circular orbit of radius r0 under the influence o...
Under central force, effective potential is

A circular orbit is possible at the value of r for which 

and stable if



which is possible only if (n + 1) < 3  ⇒ n < 2
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A mass m, moves in a circular orbit of radius r0 under the influence of a centralforce whose potential isThena)A circular orbit is stable at a value of r for which is positive.b)A circular orbit is stable at a value of r for which is negative.c)Circular orbit is stable under small oscillation if n < 3.d)Circular orbit is stable under small oscillation if n < 2.Correct answer is option 'A,D'. Can you explain this answer?
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A mass m, moves in a circular orbit of radius r0 under the influence of a centralforce whose potential isThena)A circular orbit is stable at a value of r for which is positive.b)A circular orbit is stable at a value of r for which is negative.c)Circular orbit is stable under small oscillation if n < 3.d)Circular orbit is stable under small oscillation if n < 2.Correct answer is option 'A,D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A mass m, moves in a circular orbit of radius r0 under the influence of a centralforce whose potential isThena)A circular orbit is stable at a value of r for which is positive.b)A circular orbit is stable at a value of r for which is negative.c)Circular orbit is stable under small oscillation if n < 3.d)Circular orbit is stable under small oscillation if n < 2.Correct answer is option 'A,D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mass m, moves in a circular orbit of radius r0 under the influence of a centralforce whose potential isThena)A circular orbit is stable at a value of r for which is positive.b)A circular orbit is stable at a value of r for which is negative.c)Circular orbit is stable under small oscillation if n < 3.d)Circular orbit is stable under small oscillation if n < 2.Correct answer is option 'A,D'. Can you explain this answer?.
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