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Q.

Two bodies of different masses are moving with same kinetic energy. Then, the ratio of their momenta is equal to the ratio of their [Kerala CEE 2015)

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a

masses

b

square of masses

c

square root of masses

d

cube root of masses

answer is C.

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Detailed Solution

Let the kinetic energy is K and masses of bodies are m1 and m2.For first body,  p1=2m1K∴  p12=2m1K                 …(i)Similarly, for second body,  p22=2m2K            …(ii)Dividing Eq. (i) by Eq. (ii), we getp12p22=2m1K2m2K,p1p2=m1m2⇒  p1p2= square root of masses.
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