Two balls of masses 2 g and 6 g are moving with kinetic energy in the ratio of 3 : 1 . What is the ratio of…

Two balls of masses 2 g and 6 g are moving with kinetic energy in the ratio of 3:1. What is the ratio of their linear momentum?
  1. 1 : 1
     
  2. 2 : 1
     
  3. 1 : 2
  4. None of these

Solution

K=12mv2=12×m(mv2)2=mv2m=mv22m or K=p22m

 K1K2=p122m1×2m2p22 or 31=p1p2×62

∴ p1: p2=1:1

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