QJEEAdv22Ph763b: JEE Advanced 2022 Physics - Class 11 JEEAdv22Ph763b Solution: A flat surface of a thin uniform disk of radius is glued to a…

A flat surface of a thin uniform disk $A$ of radius $R$ is glued to a horizontal table. Another thin uniform disk $B$ of mass $M$ and with the same radius $R$ rolls without slipping on the circumference of $A$ , as shown in the figure. A flat surface of $B$ also lies on the plane of the table. The center of mass of $B$ has fixed angular speed $\omega$ about the vertical axis passing through the center of $A$ . The angular momentum of $B$ is $n M \omega R^{2}$ with respect to the center of $A$ . Which of the following is the value of $n$ ?