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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 a) A does not imply B and B does not imply A b) A implies B but B does not imply A c) A does not imply B but B implies A d) A implies B and B implies A

 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
a) A does not imply B and B does not imply A
b) A implies B but B does not imply A
c) A does not imply B but B implies A
d) A implies B and B implies A
 

Grade:12th pass

3 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
9 years ago
The option B is correct
Vasantha Kumari
askIITians Faculty 38 Points
9 years ago

Linear momentum is a vector quantity while kinetic energy is a scalar quantity. Hence, when the linear momentum is zero, it does not mean kinetic energy need to be zero. But when kinetic energy is zero, the linear momentum has to be zero.

So, the right option is (c) A does not imply B but B implies A.

Thanks & Regards,

Vasantha Sivaraj,

askIITians faculty

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
9 years ago
Hi

A doesn't implies B but B implies A.
See if kinetic energy is zero v or omega both are zero because mass can't be zero.
In case of rotational motion Linear momentum could be zero but it still it can have non zero kinetic energy because of other motion.

Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

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