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A string of negligible mass, natural length L has Young's modulus Y . The string hangs from roof with masses m₁ and m₂ as shown in the figure. If mass m₂ is removed gently, the mass m₁ is just able to bounce back upto point O . Find the ratio m ₂ / m ₁ . (string will not obstruct the motion of mass m ₁ and system is initially in equilibrium).

Correct answer

3

Step-by-step solution

Using condition of equilibrium KL = ( m ₁+ m ₂ ) g Using COME aligned & 1 2 KL ^2= m ₁ ~g (2 ~L ) & m ₁= KL 4 ~g = ( m ₁+ m ₂ ) 4 & 3 ~m ₁= m ₂= m ₂ / m ₁=3 aligned

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