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A particle, which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x) = –kx + ax3.  Here k and a are positive constants. For x≥ 0 , the functional form of the potential energy U(x) of the particle is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A particle, which is constrained to move along the x-axis, is subjecte...
we have potential energy zero twice (out of which one is at origin).
Also, when we put x = 0 in the given function,
should be zero. These characteristics are represented by (d).
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A particle, which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x) = –kx + ax3. Here k and a are positive constants. For x≥ 0 , the functional form of the potential energy U(x) of the particle isa)b)c)d)Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle, which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x) = –kx + ax3. Here k and a are positive constants. For x≥ 0 , the functional form of the potential energy U(x) of the particle isa)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle, which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x) = –kx + ax3. Here k and a are positive constants. For x≥ 0 , the functional form of the potential energy U(x) of the particle isa)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
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