Which of the following statement(s) is/are correct?I. If momentum of a body increases by 50%, its kinetic energy will increase by 125%.II. Kinetic energy is proportional to square of velocity.
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a
Only I
b
Only II
c
Both I and II
d
Neither I nor II
answer is C.
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Detailed Solution
As momentum of a body increases by 50% of its initial momentum, p2=p1+5q% of p1=32p1∴ v2=32v1 As K∝v2, so K2=94K1Increase in KE =K2-K1K1×100=94K1-K1K1×100=125%