A) 33%
B) 67%
C) 90%
D) (d) 10%
Correct Answer: C
Solution :
Fractional .decrease in kinetic energy of mass m \[=-1{{\left( \frac{{{m}_{2}}-{{m}_{1}}}{{{m}_{2}}+{{m}_{1}}} \right)}^{2}}=1-{{\left( \frac{2-1}{2+1} \right)}^{2}}\] \[=1-{{\left( \frac{1}{3} \right)}^{2}}=1-\frac{1}{9}=\frac{8}{9}\] Percentage loss in energy\[=\frac{8}{9}\times 100\simeq 90%\]
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