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:
$[h]=ML^{2} T^{-1}$
$[L]=ML^{2} T^{-1}$
$[P]=MLT^{-1}$
$[\tau]=ML^{2} T^{-2}$
(Here $h$ is Planck’s constant, $L$ is angular momentum, $P$ is linear momentum and $\tau$ is moment of force)
