Question

The dimensions of impulse are

• A. $\left[ML{T}^{-2}\right]$
• B. $\left[M{L}^{-1}T\right]$
• C. $\left[ML{T}^{-1}\right]$
• D. none of these.

Answer 1

Answer: (C)

$Impulse\left(I\right)=Force\times Time$ . . . . (1)

Since, $Force\left(F\right)=Mass\times Acceleration=M\times \left[L{T}^{-2}\right]$

$\therefore$ The dimensional formula of force $=\left[M^1{L}^1{T}^{-2}\right]$ . . . . (2)

On substituting equation (2) in equation (1) we get,

$Impulse=\left[M^1{L}^1{T}^{-2}\right]\times \left[T^1\right]=\left[M^1{L}^1{T}^{-1}\right]$

Therefore, the impulse is dimensionally represented as $\left[M^1{L}^1{T}^{-1}\right]$