JEE Advanced 2022 Paper 1 Q1

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Two spherical stars A and B have densities rhoA and rhoB respectively. A and B have 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 rhoA. The entire mass lost by A is deposited as a thick spherical shell on B with the density of the shell being rhoA. If va and vb are the escape velocities from A and B after the interaction process, the ratio vb/va = root (10n/(15^1/3)). The value of n is _____



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