Q.

If the K.E. of a body is increased by 300%, its momentum will increase by (in %)

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answer is 100.

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Detailed Solution

Let initial kinetic energy, E1=EFinal kinetic energy, E2=E+300% of E = 4EAs P∝E⇒P2P1=E2E1=4EE=2⇒P2=2P1⇒P2=P1+100%  of  P1i.e. Momentum will increase by 100%.
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If the K.E. of a body is increased by 300%, its momentum will increase by (in %)