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JEE Main 2021 (27 Jul, Shift 2) · Potential Energy & Equilibrium

Potential Energy & Equilibrium question from JEE Main 2021 (27 Jul, Shift 2)

Q7JEE Main 2021 · 27 JUL · SHIFT 2Medium

Potential Energy & Equilibrium

Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:

[ where K.E. = kinetic energy ]

Show answer and solution

Answer: (b)

$K = E - U = 8 - U$ .
(a) $x > x_4$ : $U = 6$ , $K = 2\text{ J}$ constant. True.
(b) $x < x_1$ : $U = 8$ , $K = 0$ , so the particle is at rest, not moving. Incorrect.
(c) $x_2$ : $U = 0$ , $K = 8\text{ J}$ maximum. True. (d) $x_3$ : $U = 4$ , $K = 4\text{ J}$ . True.
So the answer is (b).

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