JEE Main Physics question

PhysicsWork, Energy and PowerJEE Main

A bob of mass , attached to an inextensible string of length , is given a horizontal velocity at the lowest point equal to the minimum speed required to just complete a full vertical circle. The bob swings up, and at some angle (measured from the lowest point) its speed becomes exactly half of its speed at the lowest point. The angle satisfies **[IIT JEE 2008]**

Answer: (D)

Solution

The minimum speed to complete the loop is . At angle from the lowest point, height risen is , so energy conservation gives .

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Question ID VK-157583