IIT JEE ADVANCED 2022, PYQ-PHYSICS, GRAVITATION Q.no 1..

Two spherical stars A and B have densities pA and pB, respectively. A and B have the same radius, and their masses Ma and Mb are related by Mb 2Ma. Due to an interaction process, star A loses some of its mass, so that its radius is halved, while its spherical shape is retained, and its density remains pA. The entire mass lost by A is deposited as a thick spherical shell on B with the density of the shell being pA. If vA and vB are the escape velocities of A and B after the interaction process, then the ratio of Vb/Va = √(10n/15⅓)
The value of n is .......
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