Q. The dimensional formula of angular momentum is

कोणीय संवेग का आयामी सूत्र है

A
ML²T⁻¹
एमएल²टी⁻¹
B
MLT⁻²
एमएलटी⁻²
C
ML²T⁻²
एमएल²टी⁻²
D
MLT⁻¹
एमएलटी⁻¹

Explanation

The dimensional formula of angular momentum is:

[ML2T−1]\boxed{[M L^2 T^{-1}]}

Here's how it is derived:

Angular momentum (LL) is defined as:

L=r×pL = r \times p

where:

  • rr = radius vector (position) → dimension: [L][L]

  • pp = linear momentum → dimension: [MLT−1][M L T^{-1}]

So,

Dimensional formula of L=[L]×[MLT−1]=[ML2T−1]\text{Dimensional formula of } L = [L] \times [M L T^{-1}] = [M L^2 T^{-1}]

Summary:

  • M → Mass

  • L → Length

  • T → Time

  • [M L² T⁻¹] is the dimensional representation of angular momentum.

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