Question

Impulse (I) of a force (F) acting on a particle for time t is given by– (a) I=Fxt, (b) I=F/t, (c) I=t/F,
(d) none of these.

Answer 1

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Explanation:

Given that F=at+bt  

2

 where t is time.

For this equation to be dimensionally correct, the each term in the right hand side should have the dimensions of F

Dimensional formula of F=[MLT  

−2

]

⟹aT=[MLT  

−2

]

⟹ Dimension of a is [MLT  

−3

]

and

⟹bT  

2

=[MLT  

−2

]

⟹ Dimension of b is [MLT  

−4

]

Answer 2

Option(a) is correct.

Concept:

The product of the average net force acting on an object for a given period of time is sometimes referred to as the impulse.

Find:

The formula of Impulse.

Solution:

Impulse is equal to force times time (t).

$I=F*t$

Hence, Impulse is equal to force times time (t). Option(a) is correct.

Hence, Impulse is equal to force times time (t). Option(b) is incorrect.

Hence, Impulse is equal to force times time (t). Option(c) is incorrect.

Hence, Impulse is equal to force times time (t). Option(d) is incorrect.

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