question_answer

A spring is compressed between two blocks of masses \[{{m}_{1}}\] and \[{{m}_{2}}\] placed on a horizontal frictionless surface as shown in the figure. When the blocks are released, they have initial velocity of \[{{v}_{1}}\] and \[{{v}_{2}}\] as shown. The blocks travel distances \[{{x}_{1}}\] and \[{{x}_{2}}\] respectively before coming  to rest. The ratio \[\left( \frac{{{x}_{1}}}{{{x}_{2}}} \right)\] is [JEE ONLINE 12-05-2012]

A) \[\frac{{{m}_{2}}}{{{m}_{1}}}\]

B) \[\frac{{{m}_{1}}}{{{m}_{2}}}\]

C) \[\sqrt{\frac{{{m}_{2}}}{{{m}_{1}}}}\]           

D) \[\sqrt{\frac{{{m}_{1}}}{{{m}_{2}}}}\]