Find the dimensional formula of Momentum.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

Dimensionless

$[{MLT}^{- 1}]$

$[{MLT}^{- 2}]$

$[{MLT}^{- 3}]$

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Momentum is a fundamental concept in physics that quantifies the motion of an object. It is defined as the product of the mass of an object and its velocity.

The dimensional formula of momentum is derived as follows:

The formula for momentum is given by:
Momentum (P) = Mass (m) × Velocity (v)
The dimensional formula of mass (m) is:
[M]
The dimensional formula of velocity (v) is:
[L T^-1], where L represents length and T represents time.
By substituting these into the formula for momentum, we get:
[P] = [M] × [L T^-1]
Thus, the dimensional formula of momentum is:
[P] = M L T^-1

In conclusion, the dimensional formula of momentum combines the dimensions of mass, length, and time, resulting in M L T^-1.

Understanding the dimensional formula of momentum is crucial for solving problems in physics, especially when analyzing systems involving motion and forces.

Watch 3-min video & get full concept clarity