Question 98: Units , Dimensions and Error Analysis

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 :

Accepted Answer

$$\begin{aligned}
& {[\mathrm{h}]=\mathrm{ML}^2 \mathrm{~T}^{-1}} \
& {[\mathrm{~L}]=\mathrm{ML}^2 \mathrm{~T}^{-1}} \
& {[\mathrm{P}]=\mathrm{MLT}^{-1}} \
& {[	au]=\mathrm{ML}^2 \mathrm{~T}^{-2}}
\end{aligned}$$
(Here $$\mathrm{h}$$ is Planck's constant, $$\mathrm{L}$$ is angular momentum, $$\mathrm{P}$$ is linear momentum and $$	au$$ is moment of force)

Answer

Statement I is true but Statement II is false

Answer

Both Statement I and Statement II are false

Answer

Both Statement I and Statement II are true

Answer

Statement I is false but Statement II is true

Units , Dimensions and Error Analysis

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 :

Choose the correct answer: