Units And Dimensions Question 2
Question 2 - 2024 (27 Jan Shift 1)
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 :
(1) Statement I is true but Statement II is false
(2) Both Statement I and Statement II are false
(3) Both Statement I and Statement II are true
(4) Statement I is false but Statement II is true
Show Answer
Answer: (1)
Solution:
$[\mathrm{h}]=\mathrm{ML}^{2} \mathrm{~T}^{-1}$
$[\mathrm{L}]=\mathrm{ML}^{2} \mathrm{~T}^{-1}$
$[\mathrm{P}]=\mathrm{MLT}^{-1}$
$[\tau]=\mathrm{ML}^{2} \mathrm{~T}^{-2}$
(Here $\mathrm{h}$ is Planck’s constant, $\mathrm{L}$ is angular momentum, $\mathrm{P}$ is linear momentum and $\tau$ is moment of force)
