A particle of mass \(2\mathrm{kg}\) is moving on a straight line under the action of force \(F = (8 - 2x)\mathrm{N}\) . The particle is released at rest from \(x = 6\mathrm{m}\) . For the subsequent motion match the following (All the values in the column II are in their S.I. units)
Column I
[A] Equilibrium position at \(x\)
[B] Amplitude of SHM is
[C] Time taken to go directly from \(x = 2\) to \(x = 4\)
[D] Energy of SHM is
Column II
(1) \(\pi /4\)
(2) \(\pi /2\)
(3) 4
(4) 2
Choose Your Option
A. [A]–(3), [B]–(4), [C]–(2), [D]–(3)
B. [A]–(4), [B]–(3), [C]–(2), [D]–(1)
C. [A]–(1), [B]–(2), [C]–(3), [D]–
D. (d) [A]–(2), [B]–(4), [C]–(1), [D]–(3)
Solution & Explanation
No details explanation available for this question. Option A is the verified correct answer.