Question

3.What are the dimension of following physical quantities.

(i) Momentum​

Answer 1

Answer:

The dimension of momentum is ${\sf{\red{[M^1L^1T^{-1}]}}}$

Knowledge required:

✴️ Momentum is the product of mass and velocity of an object. The formula to calculate momentum is mentioned:

Momentum = Mass × Velocity i.e.,

• p = mv

Explanation:

For finding the dimensions of momentum, there is a need to find out the dimension formula of velocity first!

$\begin{gathered}:\implies \sf Velocity \: = \dfrac{Displacement}{Time} \\ \\ :\implies \sf Velocity \: = \dfrac{L}{T} \\ \\ :\implies \sf Velocity \: = [M^0L^1T^{-1}]\end{gathered}$

Now finding dimension of momentum!

$\begin{gathered}:\implies \sf Momentum \: = Mass \: \times \: Velocity \\ \\ :\implies \sf p \: = mv \\ \\ :\implies \sf p \: = M^1 \times [M^0L^1T^{-1}] \\ \\ :\implies \sf p \: = [M^{0+1}L^1T^{-1}] \\ \\ :\implies \sf p \: = [M^1L^1T^{-1}]\end{gathered}$