Two small satellites move in circular orbits around the earth, at dist

1.	Two small satellites move in circular orbits around the earth, at distances r and r + △r from the centre of the earth. Their time periods of rotation are T and T + △T. (△r << r, △T << T)(a) △T = 3/2 T △r/r(b) △T = - 3/2 T △r/r(b) △T = 2/3 T △r/r(b) △T = T △r/r
Answer» Correct Answer is: (a) △T = 3/2 T △r/r T² ∝ r³ or T² = cr³ ∴ 2T △T = 3cr² △r Dividing, 2T △T/T² = 3cr² △r/cr³.

Two small satellites move in circular orbits around the earth, at distances r and r + △r from the centre of the earth. Their time periods of rotation are T and T + △T. (△r << r, △T << T)(a) △T = 3/2 T △r/r(b) △T = - 3/2 T △r/r(b) △T = 2/3 T △r/r(b) △T = T △r/r

Answer»

Correct Answer is: (a) △T = 3/2 T △r/r

T² ∝ r³ or T² = cr³

∴ 2T △T = 3cr² △r

Dividing, 2T △T/T² = 3cr² △r/cr³.