The potential energy of a particle of mass 0.1 kg , moving along the X-axis , is given by `U=5x(x-4) J`, where x is in metres. Choose the wrong option.
A
The particle excute `SHM` with mea n position at `x = 4 m`
B
The particle excute `SHM` with mea n position at `x = 2 m`
C
The particle excute `SHM` with time period `pi//5` second
D
The particle excutre `SHM` with time period `pi//10` second
Text Solution
Verified by Experts
The correct Answer is:
B,C
`U = 5x^(2) - 20x rArr F = - (dU)/(dx) = - 10 x + 20 = - 10(x-2)` Acceleration `a = (F)/(m) = - 100(x-2)` so `omega^(2) = 100 rArr omega = 10` Time period `T = (2pi)/(omega) = (2pi)/(10) = (pi)/(5)` sec
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