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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?
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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 8×104kgms1after every 2 s
Given m = 4 × 102 kg

Velocity just before 2 seconds = 1 × 102 m/sec

Velocity just after 2 seconds = -1 × 102 m/ sec

Therefore, change in velocity = 2 × 102 m/ sec

Impulse = mass * change in velocity
= 4 × 102 kg × 2 × 102 m/ sec
= 8 × 104 kgm/s

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