The potential energy of a particle of mass 4 kg is given as
U = -4x² + 8x⁴
, where x is the position of the particle along
positive x-axis from origin. The particle moves along x-axis
Then
(A) the potential energy of the particle is maximum at x = 0
(B) the potential energy of the particle is minimum at
x = ½
(C) the time period of small oscillations of the particle about a
point of minima is 2π s
(D) the time period of small oscillations of the particle about
a point of minima is π s
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Explanation:
The potential energy of a particle of mass 4 kg is given as
U = -4x² + 8x⁴
, where x is the position of the particle along
positive x-axis from origin. The particle moves along x-axis
Then
(A) the potential energy of the particle is maximum at x = 0
(B) the potential energy of the particle is minimum at
x = ½
(C) the time period of small oscillations of the particle about a
point of minima is 2π s
(D) the time period of small oscillations of the particle about
a point of minima is π s
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