JEE Main · 2023 · 30 Jan 2023 · Shift 1 · Laws of Motion

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The figure represents the momentum time (p-t) curve for a particle moving along an axis under the influence of the force. Identify the regions on the graph where the magnitude of the force is maximum and minimum respectively?
If

(t_{3} - t_{2}) < t_{1}

(A)c and a
(B)b and c
(C)c and b✓ Correct
(D)a and b

Answer: (C)

Solution

The force on the particle is the rate of change of momentum,

∣ F ∣ = \frac{d p}{d t}

, which is the steepness of the momentum-time graph. Region c, where the momentum falls sharply over the short interval

t_{3} - t_{2}

(smaller than

t_{1}

), has the steepest slope and hence the largest force, while the gently rising region b has the smallest slope and hence the least force. The force is greatest in region c and least in region b.

JEE Main · 2023 · 30 Jan 2023 · Shift 1 · Single correct option

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