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At time t=0 a disk of radius 1m starts to roll without slipping on horizontal plane with an angular acceleration of alpha=2/3 rad/s^2. A small stone is stuck to the disk. At t=0 it is at the contact point of the disk and the plane. Later at t=SQRT(pi) sec. the stone detaches itself and flies off tangentially from the disk. The maximum height (in m) reached by the stone measured form the plane is (1/2)+(x/10)/ The value of x=?

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Title: JEE Advanced Physics 2022 Paper 1: #4 Lens (Optics)
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Title: JEE Advanced Physics 2022 Paper 1: #6 Moment of Inertia (Mechanics)