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JEE Main 2025 Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main 2025

A solid sphere with uniform density and radius R is rotating initially with constant angular velocity () about its diameter. After some time during the rotation its starts loosing mass at a uniform rate, with no change in its shape. The angular velocity of the sphere when its radius become R/2 is . The value of x is .

Answer: 32

Solution

Using conservation of angular momentum with mass scaling as : $ω_1 =

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Question ID VK-002991