JEE MAIN - Physics (2024 - 27th January Morning Shift - No. 17)
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 :
Statement I is true but Statement II is false
Both Statement I and Statement II are false
Both Statement I and Statement II are true
Statement I is false but Statement II is true
Explanation
$$\begin{aligned} & {[\mathrm{h}]=\mathrm{ML}^2 \mathrm{~T}^{-1}} \\ & {[\mathrm{~L}]=\mathrm{ML}^2 \mathrm{~T}^{-1}} \\ & {[\mathrm{P}]=\mathrm{MLT}^{-1}} \\ & {[\tau]=\mathrm{ML}^2 \mathrm{~T}^{-2}} \end{aligned}$$
(Here $$\mathrm{h}$$ is Planck's constant, $$\mathrm{L}$$ is angular momentum, $$\mathrm{P}$$ is linear momentum and $$\tau$$ is moment of force)
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