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Two identical particles A and B of mass ...

Two identical particles A and B of mass m each are connected together by a light and inextensible string of length l. The particle are held at rest in air in same horizontal level at a separation I. Both particles are released simultaneously and one of them (say A) is given speed `V_(0)` vertically upward. Choose the correct options (s). Ignore air resistance.

A

The maximum height attained by the center of mass of the system of A and B is `(v_(0)^(2))/(8g)`

B

The kinetic energy of the system of A and B when the centre of mass is at its highest point is `(mv_(0)^(2))/(2)`

C

The maximum height attained by the centre of mass of the system of A and B is `(v_(0)^(2))/(4g)`

D

The kinetic energy of the system of A and B when the centre of mass is at its highest point is `(mv_(0)^(2))/(4)`

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