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A light body and a heavy body have the s...

A light body and a heavy body have the same momentum, which of the two bodies will have greater kinetic energy ?

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As `E-k = (p^2)/(2m), E_k prop (1)/(m) ("P is the saem for both the bodies")`
Thus, the lighter body has more kinetic enegy then the heavier body through both have the same momentum.
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Knowledge Check

  • If a light body and a heavy body have equal momentum, then

    A
    the lighter body has greater kinetic energy than the heavier body
    B
    the lighter body has lesser kinetic energy than the heavier body
    C
    the kinetic energy of the lighter body is equal to the kinetic energy of the heavier body
    D
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  • A light and a heavy body have equal momenta. Which one has greater K.E

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    The light body
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    C
    The K.E. are equal
    D
    Data is incomplete
  • Assertion : A light body and heavy body have same momentum. Then they also have same kinetic energy. Reason : Kinetic energy does not depend on mass of the body.

    A
    If both assertion and reason are true and the reason is the correct explanation of the assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of the assertion.
    C
    If assertion is true but reason is false.
    D
    If the assertion and reason both are false.
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