Consider the following two statements

A         Linear momentum of a system of particles is zero.

B         Kinetic energy of a system of particles is zero.

Then

Option 1)

A does not imply B and B does not imply A

Option 2)

A  implies B but B does not imply A

Option 3)

A does not imply B but B  implies A

Option 4)

A implies imply B and  B  implies A

Answers (2)

As we learnt in

Kinetic energy -

k= \frac{p^{2}}{2m}

- wherein

p\rightarrow momentum

m\rightarrow mass

kinetic Energy is frame dependent

 

 

Linear momentum is a vector quantity linear momentum of a system of particle is zero does not means that momentum of each particle is zero.

i.e. each particle has momentum but their vector sum is zero.

Kinetic energy is scaler quantity hence its summation is n ot zero even if linear momentum is zero.

If kinetic energy of system of particle is zero means kinetic enery of each particle is zero.

In this case total linear momentum is zero.

This means B implies A but A doesnot implies B.

Therefore correct answer is 3.


Option 1)

A does not imply B and B does not imply A

Option 2)

A  implies B but B does not imply A

Option 3)

A does not imply B but B  implies A

Option 4)

A implies imply B and  B  implies A

N neha

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