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Two blocks of masses \( m_{1} \) and \( m_{2} \) are connected by an ideal spring of force constant \( k \). The blocks are placed on smooth horizontal surface. A horizontal force \( F \) acts on the block \( m_{1} \). Initially spring is relaxed, both the blocks are at rest.
What is maximum elongation of spring.
(1) \( \frac{2 m_{1} F}{\left(m_{1}+m_{2}\right) k} \)
(2) \( \frac{m_{1}^{2} F}{2\left(m_{1}+m_{2}\right)^{2} k} \)
(3) \( \frac{2 m_{2} F}{k\left(m_{1}+m_{2}\right)} \)
(4) \( \frac{m_{2}^{2} F}{2\left(m_{1}+m_{2}\right)^{2} k} \)
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