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Question

# The position-time graph of a particle of mass 40 g is shown here Which of the following statement is true about the graph?

A
The particle receives an impulse of 8×104kgms1 after every 1 s
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B
The particle receives an impulse of 8×104kgms1after every 2 s
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C
The particle receives an impulse of 4×104kgms1 after every 1 s
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D
The particle receives an impulse of 4×104kgms1 after every 2 s
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Solution

## The correct option is D The particle receives an impulse of 8×10−4kgms−1after every 2 sGiven m = 4 × 10−2 kgVelocity just before 2 seconds = 1 × 10−2 m/secVelocity just after 2 seconds = -1 × 10−2 m/ secTherefore, change in velocity = 2 × 10−2 m/ secImpulse = mass * change in velocity = 4 × 10−2 kg × 2 × 10−2 m/ sec = 8 × 10−4 kgm/s

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