A satellite can be in a geostationary orbit around earth at a distance r from the centrer. If the angular velocity of earth about its axis doubles, a satellite can now be in a geostationary orbit around if its distance from the centre is

A satellite can be in a geostationary orbit around earth at a distance

1.	A satellite can be in a geostationary orbit around earth at a distance r from the centrer. If the angular velocity of earth about its axis doubles, a satellite can now be in a geostationary orbit around if its distance from the centre is
Answer» `(R )/(2)` `(r )/(2sqrt(2))` `(r )/((4)^(1//3))` `(r )/((2)^(1//3))` SOLUTION :Let angular velocity is `omega RARR mr omega^(2)=(GMm)/(r^(2))` `omega^(2)=(GM)/(r^(3))` so `omega_(1)^(2)r_(1)^(3)=omega_(2)^(2)r_(2)^(3)` `r_(2)^(3)=r_(1)^(3)((omega_(1))/(omega_(2)))^(2) rArr r_(2)^(3)=(r_(1)^(3))/(4) rArr r_(2)=(r_(1))/(4^(1//3))`