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A student Amir of mass m is standing on the edge of an horizontal disk...

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A student Amir of mass m is standing on the edge of an horizontal disk of radius R The disc is free to rotate about a frictionless vertical axis passing through its centre Initially the student and disc are at rest At t 0 the student starts to run at his maximum velocity v relative to disc He runs along the circumference of the disc towards his friend Salman in anticlockwise sense Salman is stationary on ground Moment of inertia of disc is I A Time taken to reach Salman is TR V I mR TR B If disc were considered massless time taken to reach Salman is C If disc were considered massless Amir can never reach Salman D Time taken will be minimum if Amir instead of running along circumference runs along diameter towards Salman V

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