PART II: PHYSICS

SECTION 1 (Maximum Marks: 24)

• This section contains EIGHT (08) questions.

• The answer to each question is a NUMERCAL VALUE.

• For each question, enter the correct numerical values of the answer using the mouse and the on-screen virtual numerical keypad in the place designated to enter the answer. If the numerical value has more than two decimal places, truncate/round-off the value to TWO decimal places.

• Answer to each question will be evaluated according to the following marking scheme:

Full Marks : +3 ONLY if the correct numerical values is entered;

Zero Marks : 0 In all other cases.

Two spherical stars A and B have densities and , respectively. A and B have the same radius, and their masses M A and M B are related by M B = 2 M A . 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 . The entire mass lost by A is deposited as a thick spherical shell on B with the density of the shell being . If v a and v b are the escape velocities from A and B after the interaction process, the ratio . The value of n is _____