Show that angular momentum has the same dimensions as the Planck's constant.

Explanation

To show that angular momentum has the same dimensions as Planck's constant, we will derive the dimensional formulas for both quantities and compare them.

### Step 1: Determine the dimensional formula for angular momentum.

Angular momentum (L) is defined as the product of linear momentum (P) and the distance (r) from the axis of rotation. The formula for angular momentum is given by:

\[ L = P \cdot r \]

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