Initial angular velocity of a circular disc of mass $M$ is $\omega_1$. Then two small spheres of mass $m$ are attached gently to two diametrically opposite point on the edge of the disc. What is the final angular velocity of the disc ?

Question

( A ) $(\frac{M}{M+4m}) \omega_1$
( B ) $(\frac{M}{M+2m}) \omega_1$
( C ) $(\frac{M+m}{m}) \omega_1$
( D ) $(\frac{M+m}{M}) \omega_1$