Given below are two statements : Statement (I) : Planck's constan… - Vidyadip

MCQ

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
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

✓

Answer

Correct option: A.

Statement $I$ is true but Statement $II$ is false

a
$ {[\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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