Two identical stars of mass M, orbit around their center of mass. Each orbit is circular and
radius R, so that the two stars are always on opposite sides on a diameter.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
F = 
; T = 4 π 
(e) 
Sol. F = 
= 
= 
v = 
T = 
= 
= 4 π 
Angular speed
ω = 
= 
= 
Energy required to separate = – {total energy}
= – {Kinetic energy + Potential energy}
= – 
= – 
= – 
= – 
= 
(e) Let its velocity = ‘v’
Kinetic energy = 
mv 2
Potential at center of mass = – 
– 
= – 
Potential energy at center of mass = – 
For particle to reach infinity
Kinetic energy + Potential energy = 0
mv 2 × 
= 0
v = 
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