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JEE Main Physics question

PhysicsWork, Energy and PowerJEE Main

A bob of mass m, suspended by a string of length l₁, is given a minimum velocity required to complete a full circle in the vertical plane. At the highest point, it collides elastically with another bob of mass m suspended by a string of length l₂, which is initially at rest. Both the strings are massless and inextensible. If the second bob, after collision, acquires the minimum speed required to complete a full circle in the vertical plane, the ratio l₁/l₂ is [JEE Advance 2014]

Answer: 5

Solution

This item repeats Q951's question (here explicitly tagged JEE Advance 2014 in the source, kept since the exclusion rule applies only to JEE Main 2013+). Velocity of first bob at highest point v₁ = √(gl₁) (minimum speed to complete the circle), which equals the

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Question ID VK-154213