The correct dimensional formula for the impulse is given by :

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answer is C.

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Detailed Solution

Concept- First, we'll write the impulse formula: impulse = force multiplied by time. The force formula, which is mass multiplied by acceleration, will then be written. Then, in order to obtain the required unit of impulse, we will enter the units of mass, time, and acceleration in terms of length, time, and mass into the formula.
Let us assume

Mass

We know Impulse = Force

Time…………………(1)
And, we also know Force = Mass

Acceleration………………..(2)
Here Acceleration = Length

…………………………..(3)
So now we will write the formulas in terms of basic units that are length, Mass, and Time.
From equation (3) we can write: Acceleration..........

……….(4)
Substituting equation (4) in equation (2) we will get Force

Finally substituting equation (5) in (1) we will get
Impulse

Therefore, the dimension for Impulse is

Hence, option 3 is the correct answer.

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