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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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A thin uniform circular disc of mass MM and radius RR is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity ω\omega. Another disc of same thickness and radius but of mass 18M\frac{1}{8} \mathrm{M} is placed gently on the first disc co-axially. The angular velocity of the system is now
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Correct option: A
89ω\frac{8}{9} \omega
Option A (89ω\frac{8}{9} \omega) is correct because it is derived from the conservation of angular momentum when the second disc is placed on the first.

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