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 Main Online Paper (Held On 12 May 2012)

A) \[\frac{{{m}_{2}}}{{{m}_{1}}}\] 

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

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

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