1.

A spherical ball of mass `m_(1)` colliddes head on with another ball of mass `m_(2)` at rest . The collision is elastic . The fraction of kintic energy lost by `m_(1)` is `:`A. `(4m_(1)m_(2))/((m_(1)+m_(2))^(2))`B. `(m_(1))/(m_(1)+m_(2)`C. `(m_(2))/(m_(1)+m_(2)`D. `(m_(1)m_(2))/((m_(1)+m_(2))^(2))`

Answer» Correct Answer - A
`u=v_(1)+(m_(2))/(m_(1))v_(2) ....(1)`
`v_(2)-v_(2)=u .....(2)`
`(K_(f_(1))-K_(i_(1)))/(K_(i_(1)))=1-((v_(1))/(u))^(2)=(4m_(1)m_(2))/((m_(1)+m_(2))^(2)) Ans. (A)`


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