JEE Main Physics question
A toy cart tied to the end of an unstretched string of natural length , when revolved, moves in a horizontal circle of radius with time period . The cart is then speeded up until it moves in a horizontal circle of radius with period . If Hooke's law holds, then
Answer: (A)
Solution
Extension in the first case ; by Hooke's law and the centripetal force condition, . In the second case,
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