The time period of revolution of a satellite around a planet is believed to depend on…
PHYSICS · Subjective · CBSE · Physics · Units and Measurements · Units and Measurements
Problem
The time period T of revolution of a satellite around a planet is believed to depend on the orbital radius R, the mass m of the satellite, the mass M of the planet and the universal gravitational constant G.
(i) Assuming T∝RambMcGd, write the dimensional equation obtained by equating the dimensions on both sides.
(ii) Solve for the exponents a, b, c and d up to a dimensionless factor.
(iii) Which of the listed physical quantities does the final expression show to be irrelevant to the time period? Interpret the physical significance of this result.