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 arc 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
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 arc 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
- [AIEEE 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}}}} $
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- [AIIMS 2019]
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- [AIPMT 2007]
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- [AIEEE 2007]
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