As orbital radius r of a satellite is increased, state which of the following quantities will increase and which will decrease ?
(i) Orbital speed
(ii) Time period
(iii) Frequence
(iv) Angular speed
(v) Kinetic energy
(vi) Potential energy
(vii) Toyal mechanical energy .

Explanation

(i) Orbital speed`nu_(0) = sqrt ((GM)/(r))` or `nu_(0) prop (1)/(sqrt(r))`
Therfore, orbital speed will decrease.
(ii) `T = 2pi sqrt(r^(3)/(gR^(2)))` or `T prop r^(3//(2)`
(iii) Frequency , `f = (1)/(T)` Time period is increasing . So frequency will decrease.
(iv) Angular speed `omega = (2pi)/(T)` or `omega prop (1)/(T)` Time period is increasing . Hence , angular speed will decrease .
(v) Kinetic energy, `K = (GMm)/(2r)` or `K prop (1)/(r)` Terfore, kinetic energy will decrease .
(vi) Potential energy ` U = (GMm)/(r)` or `U prop -(1)/(r)`
Therfore, potential energy will increase .
(vii) Total mechanical energy, `E = -(GMm)/(2r)` or `E prop -(1)/(r)`
So, mechanical energy will also increase .