InterviewSolution
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InterviewSolution
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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 . |
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Answer» (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 . |
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