Question:

The dimension of angular momentum is

Updated On: Sep 3, 2024
  • $M^{0}L^{1}T^{-1}$
  • $M^{1}L^{2}T^{-2}$
  • $M^{1}L^{2}T^{1}$
  • $M^{2}L^{1}T^{-2}$
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The Correct Option is C

Solution and Explanation

Dimension of angular momentum
$L = r \times p$
$=[ L ]\left[ MLT ^{-1}\right]=\left[ ML ^{2} T ^{-1}\right]$
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Concepts Used:

Momentum

It can be defined as "mass in motion." All objects have mass; so if an object is moving, then it is called as momentum.

the momentum of an object is the product of mass of the object and the velocity of the object.

Momentum = mass • velocity

The above equation can be rewritten as

p = m • v

where m is the mass and v is the velocity. 

Momentum is a vector quantity and  the direction of the of the vector is the same as the direction that an object.