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WBJEE · Physics · Units and Dimensions

The dimension of angular momentum is

  1. A \(\left[\mathrm{M}^{0} \mathrm{L}^{1} \mathrm{T}^{-1}\right]\)
  2. B \(\left[\mathrm{M}^{1} \mathrm{L}^{2} \mathrm{T}^{-2}\right]\)
  3. C \(\left[\mathrm{M}^{1} \mathrm{L}^{2} \mathrm{T}^{1}\right]\)
  4. D \(\left[\mathrm{M}^{2} \mathrm{L}^{1} \mathrm{T}^{-2}\right]\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\left[\mathrm{M}^{1} \mathrm{L}^{2} \mathrm{T}^{1}\right]\)

Step-by-step Solution

Detailed explanation

Dimension of angular momentum \(\mathbf{L}=\mathbf{r} \times \mathbf{p}\) \(=[\mathrm{L}]\left[\mathrm{MLT}^{-1}\right]=\left[\mathrm{ML}^{2} \mathrm{T}^{-1}\right]\)