MHT CET Physics question

PhysicsLaws of MotionMHT CET

A toy cart is tied to the end of an un-stretched string of length ''. When revolved, the toy cart moves in horizontal circle with radius '' and time period T. If it is speeded until it moves in horizontal circle of radius '' with period , relation between T and is (Hooke's law is obeyed) [MHT-CET 2023, MHT-CET 2023]

Answer: (D)

Solution

Tension extension radius: and ; dividing,

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Question ID VK-040834