Potential energy ( V ) versus distance ( x ) is given by the graph. Rank various regions as per the magnitudes of the force (F) acting on a particle from high to low.

Question

Quantrex Academy · Accepted Answer

Correct answer: D. F_ B C >F_ A B >F_ D E >F_ C D

Force is related to potential energy by

F = -\frac{dV}{dx}

.
Magnitude of force

|F| = \left|\frac{dV}{dx}\right|

= |slope of V-x graph|
From graph coordinates: A(1, 0), B(1.5, 1), C(2, 4), D(4, 4), E(5, 3)

|F_{AB}| = \frac{1-0}{1.5-1} = 2

|F_{BC}| = \frac{4-1}{2-1.5} = 6

|F_{CD}| = \frac{4-4}{4-2} = 0

|F_{DE}| = \frac{|3-4|}{5-4} = 1

Ranking:

F_{BC} > F_{AB} > F_{DE} > F_{CD}

Potential energy ( V ) versus distance ( x ) is given by the graph....

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