Home Physics Work, Energy, Power and Collision JEE Main 2021 Given below is the plot of a potential energ…
Physics Work, Energy, Power and Collision JEE Main 2021 MCQ (Single Correct)

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 E mech =8J, the incorrect statement for this system is:

A
at x>x 4 , K.E. is constant throughout the region.
B
at x<x 1 , K.E. is smallest and the particle is moving at the slowest speed.
C
at x=x 2 , K.E is greatest and the particle is moving at the fastest speed.
D
at x=x 3 , K.E.=4J

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Text Solution

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The correct answer is:
B

E mech =8J

at x > x 4 , U = constant = 6 J

K = E mech − U = 2 J = constant

at x < x 1 , U = constant = 8 J

K = E mech. − U = 8 − 8 = 0 J

Particle is at rest.

At x = x 2 , U = 0 ⇒ E mech. = K = 8 J

KE is greatest, and particle is moving at fastest speed.

x = x 3 , U = 4 J

At U + K = 8 J

K = 4 J

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