A thin uniform circular disc of mass M a...

A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity `omega` . Another disc of same dimensions but of mass `(1)/(4)` M is placed gently on the first disc co-axially. The angular velocity of the system is

`sqrt(2) omega`

`4/5 omega`

`3/4 omega`

`1/3 omega`

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