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NEET
Exam
NEET
Subject
Physics
Chapter
Laws of Motion

NEET · Physics · Laws of Motion

In the adjoining figure, the position time graph of a particle of...

In the adjoining figure, the position time graph of a particle of mass 0.1 kg0.1 \mathrm{~kg} is shown. The impulse at t=2 st=2 \mathrm{~s} is In the adjoining figure, the position time graph of a particle of mass 0.1 ~kg is shown. The impulse at t=2 ~s is

Options

  1. A0.02 kg m/s0.02 \mathrm{~kg} \mathrm{~m} / \mathrm{s}
  2. B0.1 kg m/s0.1 \mathrm{~kg} \mathrm{~m} / \mathrm{s}
  3. C0.2 kg m/s0.2 \mathrm{~kg} \mathrm{~m} / \mathrm{s}
  4. D0.4 kg m/s0.4 \mathrm{~kg} \mathrm{~m} / \mathrm{s}

Correct answer

C. 0.2 kg m/s0.2 \mathrm{~kg} \mathrm{~m} / \mathrm{s}

Step-by-step solution

From the graph we can say, upto t=2.0 s\mathrm{t}=2.0 \mathrm{~s}, the body moves with a constant velocity Slope of position-time graph =42=2 m/s=\frac{4}{2}=2 \mathrm{~m} / \mathrm{s} After t=2.0 s\mathrm{t}=2.0 \mathrm{~s}, position-time graph is parallel to time axis i.e., body comes to rest. ∴\therefore Change in velocity =dx=2 m/s=\mathrm{dx}=2 \mathrm{~m} / \mathrm{s} Impulse = Change in momentum =mdv=0.1×2=0.2 kg m/s=\mathrm{mdv}=0.1 \times 2=0.2 \mathrm{~kg} \mathrm{~m} / \mathrm{s}
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