Two astronauts each having mass 'm' are connected by a light rope of lengt l_(0). They are orbiting around their centre of mass with angular speed 'omega_(0)'in free space. Now astronaut - 1 starts collecting rope slowly such that final length of the string between them reduces to l_(0)//2 and becaomes constant (treat astronauts as particle)

Two astronauts each having mass 'm' are connected by a light rope of l

1.	Two astronauts each having mass 'm' are connected by a light rope of lengt l_(0). They are orbiting around their centre of mass with angular speed 'omega_(0)'in free space. Now astronaut - 1 starts collecting rope slowly such that final length of the string between them reduces to l_(0)//2 and becaomes constant (treat astronauts as particle)
Answer» FINAL angular speed of system is `2omega_(0)` Final angular speed of system is `4omega_(0)` Net work DONE by astronaut-1 in processes is `(3ml_(0)^(2)omega_(0)^(2))/(4)` Net work done by astronaut - 1 in processes is `(3ml_(0)^(2)omega_(0)^(2))/(8)` Answer :B::C