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Physics Question on Uniform Circular Motion

A disc of mass MM and radius RR is free to rotate about its vertical axis as shown in the figure. A battery operated motor of negligible mass is fixed to this disc at a point on its circumference. Another disc of the same mass MM and radius R/2R/2 is fixed to the motor’s thin shaft. Initially, both the discs are at rest. The motor is switched on so that the smaller disc rotates at a uniform angular speed ω\omega. If the angular speed at which the large disc rotates is ω/n\omega/n, then the value of nn is _____
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Answer

The correct answer is:12