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Q.

Is it true that if the momentum of a body is doubled then, it's kinetic energy becomes fourfold?


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a

True

b

False  

answer is A.

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Detailed Solution

The above statement is True.
We know that momentum is directly proportional to the velocity and kinetic energy is directly proportional to the square of the velocity.
K.E=12mv2
 p=mv
So, when the momentum is doubled, mass remains constant and the velocity is doubled as a result of which the kinetic energy becomes four times the original kinetic energy.
 
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