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Assertion: A light body and a heavy body...

Assertion: A light body and a heavy body have same momentum. Then they also have same kinetic energy.
Reason: Kinetic energy does not depand on mass of the body.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If assertion and reason are false.

Text Solution

Verified by Experts

Kinetic energy of body of mass `m_(1)`
`K_(1) = (1)/(2) m_(1)v_(1)^(2) = (P_(1)^(2))/(2 m_(1))`
Again, kinetic energy of a body of mass `m_(2)`.
`K_(2) = (1)/(2) m_(2)v_(2)^(2) = (P_(2)^(2))/(2 m_(2))`
If `P_(1) = P_(2), (K_(1))/(K_(2)) = (m_(2))/(m_(1))`
If `m_(2) gt m_(1)`
Then , `K_(1) gt K_(2)` i.e., the kinetic energy of light body will be more than the kinetic energy of heavy body when both have same momentum.
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