InterviewSolution
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InterviewSolution
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A particle which is constant 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 + ax^(3)` . Hero `K` and `a` are positive constant . For `x ge 0`, the fanctional from of the patential every `U(x) of the particle isA. B. C. D. |
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Answer» Correct Answer - D `F = (-dU)/(dx) rArr dU = - F dx` `rArr U = - int_(0)^(x) (-kx +ax^(3)) dx = (kx^(2))/(2) - (ax^(2))/(4)` `:. `We get `U =0` at `x= 0` and `x= sqrt(2k//a)` So `F = 0` at `x= 0` i.e. , slope of `U` - x graph is at `x= 0` |
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