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A particle of mass m is located in a unidimensional potential field where the potential energy of the particle depends on the coordinate x as U(x) = U0 (1 - cos a x ) ; U0 and a are constants. Then the period of small oscillations that the particle performs about the equilibrium position.
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A particle of mass m is located in a unidimensional potential field wh...
U(x) = U0 (1 - cos ax)

F(x) = - U0 a sin ax 
∴F(x) = 0


So, x = 0 is stable equilibrium position.
The small force arising due to this small displacement is 



So, this is the condition of S.H.M. motion so. A = -ω2 Δx so to compare

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A particle of mass m is located in a unidimensional potential field where the potential energy of the particle depends on the coordinate x as U(x) = U0 (1 - cos a x ) ; U0 and a are constants. Then the period of small oscillations that theparticle performs about the equilibrium position.a)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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A particle of mass m is located in a unidimensional potential field where the potential energy of the particle depends on the coordinate x as U(x) = U0 (1 - cos a x ) ; U0 and a are constants. Then the period of small oscillations that theparticle performs about the equilibrium position.a)b)c)d)Correct answer is option 'C'. 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 particle of mass m is located in a unidimensional potential field where the potential energy of the particle depends on the coordinate x as U(x) = U0 (1 - cos a x ) ; U0 and a are constants. Then the period of small oscillations that theparticle performs about the equilibrium position.a)b)c)d)Correct answer is option 'C'. 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 particle of mass m is located in a unidimensional potential field where the potential energy of the particle depends on the coordinate x as U(x) = U0 (1 - cos a x ) ; U0 and a are constants. Then the period of small oscillations that theparticle performs about the equilibrium position.a)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
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