JEE Main 2024

Question

Given below are two statements:

**Statement (I):** Planck's constant and angular momentum have same dimensions.

**Statement (II):** Linear momentum and moment of force have same dimensions.

In the light of the above statements, choose the correct answer from the options given below: A). Statement I is true but Statement II is false B). Both Statement I and Statement II are false C). Both Statement I and Statement II are true D). Statement I is false but Statement II is true

Edvaya · Accepted Answer

The correct answer is Statement I is true but Statement II is false. **Statement I:** Planck's constant $[h] = [ML^2T^{-1}]$; Angular momentum $[L] = [ML^2T^{-1}]$ → **same** → Statement I is **TRUE**.
**Statement II:** Linear momentum $[p] = [MLT^{-1}]$; Moment of force (Torque) $[	au] = [ML^2T^{-2}]$ → **not same** → Statement II is **FALSE**.
Therefore, Statement I is true but Statement II is false.

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Physics > Mechanics > Units And Measurements

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