A cylinder of mass $\;M_{c}\;$ and sphere of mass $\;M_{s}\;$ are placed at points A and B of two inclines, respectively .(see figure) . If they role on the incline without slipping such that their accelerations are the same , then the ratio $\; \large\frac{sin \theta_{c}}{sin\theta_{s}}\;$ is :

Question

$(a)\;\sqrt{\large\frac{8}{7}} \qquad(b)\;\sqrt{\large\frac{15}{4}} \qquad(c)\;\large\frac{8}{7}\qquad(d)\;\large\frac{15}{14}$