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)

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.

Most Viewed Questions

Preparation Products

Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Test Series JEE Main May 2021

Unlimited Chapter Wise Tests, Unlimited Subject Wise Tests, Unlimited Full Mock Tests, Get Personalized Performance Analysis Report,.

₹ 6999/- ₹ 2999/-
Buy Now
Knockout JEE Main May 2022

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 34999/- ₹ 14999/-
Buy Now
JEE Main Rank Booster 2021

Booster and Kadha Video Lectures, Unlimited Full Mock Test, Adaptive Time Table, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions