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Q.

The correct dimensional formula for the impulse is given by :


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a

Question Image 

b

Question Image 

c

Question Image 

d

Question Image 

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 Question Image Mass
Question ImageWe know Impulse = Force Question Image Time…………………(1)
And, we also know Force = Mass Question Image Acceleration………………..(2)
Here Acceleration = Length Question Image…………………………..(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.......... Question Image……….(4)
Substituting equation (4) in equation (2) we will get Force Question ImageFinally substituting equation (5) in (1) we will get
Impulse Question ImageTherefore, the dimension for Impulse is Question ImageHence, option 3 is the correct answer.
 
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The correct dimensional formula for the impulse is given by :