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 :

Pick an option to check your answer.

Verified Solution

Answer & Solution

Correct Answer

(A) Statement \(I\) is true but Statement \(II\) is false

Detailed explanation

\( {[\mathrm{h}]=\mathrm{ML}^2 \mathrm{~T}^{-1}} \)

\( {[\mathrm{~L}]=\mathrm{ML}^2 \mathrm{~T}^{-1}} \)

\( {[\mathrm{P}]=\mathrm{MLT}^{-1}} \)

\( {[\tau]=\mathrm{ML}^2 \mathrm{~T}^{-2}}\)

(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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