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  • Figures (a), (b), (c) and (d) show variation of force with time

Figures (a), (b), (c) and (d) show variation of force with time

The impulse is highest in figure.

Option: 1

Fig (c)


Option: 2

Fig (b)


Option: 3

Fig (d)


Option: 4

Fig (a)


Answers (1)

best_answer

As we know that impulse is given by
$$ \mathrm{I}=\Delta \mathrm{P}=\mathrm{F} \times \Delta \mathrm{t}
Or
$$ I=\text { Area of f-t graph }
For fig (a) \rightarrow \mathrm{I}=\frac{1}{2} \times base \times height
$$ =\frac{1}{2} \times 0.5 \times 1=0.25 \mathrm{~N}-\mathrm{sec} .
For fig (b) \mathrm{I}= length \times width
$$ =2 \times 0.5=1 \mathrm{~N}-\mathrm{sec}
For fig (c) I =\frac{1}{2} \times$ base $\times height
$$ =\frac{1}{2} \times 1 \times 0.75=0.375 \mathrm{~N}-\mathrm{sec} .
For fig (d) I=\frac{1}{2} \times$ base $\times height
$$ =\frac{1}{2} \times 2 \times 0.5=0.5 \mathrm{~N}-\mathrm{sec} .
Impulse is highest for that figure, whose area under F-t is maximum and i.e. figure(b) Option (2) is correct.

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Pankaj

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