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.