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) \[\sqrt{\frac{{{m}_{1}}}{{{m}_{2}}}}\]
Correct Answer: A
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