Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Need explanation for: Out of the following pairs which one does not have identical dimensions is

Out of the following pairs which one does not have identical dimensions is

Option 1)

moment of inertia and moment of a force

 Option 2)

work and torque
Option 3)

angular momentum and Planck’s constant

 Option 4)

impulse and momentum

Answers (2)

best_answer

Using the concepts we learnt:

 

Work, Potential Energy, Kinetic Energy, Torque -

\dpi{100} ML^{2}T^{-2}

 

- wherein

N-mt/Joule

 

 and

 

Momentum-Impulse -

MLT^{-1}

 

- wherein

kgms^{-1}

 

  and

 

Plank's Constant (h) -

M^{1}L^{2}T^{-1}

- wherein

Joule-sec

 

 

 


Option 1)

moment of inertia and moment of a force

Moment of Inertia \left ( I \right )= Mr^{2}

\therefore \; \; \; \; \left [ I \right ]= \left [ ML^{2} \right ]

Moment of force  rF= \left [ ML^{2} T^{-2}\right ]

Hence moment of inertia & moment of force does not have same dimension.

 

Option 2)

work and torque

Work and Torque both have dimension \left [ ML^{2}T^{-2} \right ]

Option 3)

angular momentum and Planck’s constant

angular momentum and Planck’s constant  have dimension

\left [ angular\: momentum \right ]= \left [ ML^{2}T^{-1} \right ]

Also angular momentum= \frac{h}{2\pi }

\therefore Dimension of Planck’s constant is same as angular momentum.

Option 4)

impulse and momentum

Impulse is change in momentum hence both have same dimensions.

Posted by

perimeter

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE aspirant in Kota commits suicide; 16th suicide since January
anam-khan

JEE Main 2025 Registration Live: NTA session 1 application last date today; official website, syllabus
anam-khan

JEE Main 2025 session 1 registration ends today at jeemain.nta.nic.in; application correction from November 26

Latest Question