The period of revolution (T) of a planet around the sun depends upon (i) radius (r ) of obit (ii) mass M of the sun and (iii) gravi-tational constant G. Prove that `T^2 prop r^3`

The period T of revolution of the earth around the sun depends upon (1) Orbital radius R (2) mass M of the sun and (3) gravitational that T^2ooR^3 .

The period of revolution(T) of a planet moving round the sun in a circular orbit depends upon the radius (r) of the orbit, mass (M) of the sun and the gravitation constant (G). Then T is proportioni of r^(a) . The value of a is

A planet moves around the sun in nearly circular orbit. Its period of revolution 'T' depends upon. (i) radius 'r' or orbit, (ii) mass 'm' of the sun and. (iii) The gravitational constant G show dimensionally that T^(2) prop r^(3) .

A planet moves around the sun in nearly circular orbit. Its period of revolution 'T' depends upon. (i) radius 'r' or orbit, (ii) mass 'm' of the sun and. (iii) The gravitational constant G show dimensionally that T^(2) prop r^(3) .

A planet moves around the sun in nearly circular orbit. Its period of revolution 'T' depends upon : (i) radius 'r' or orbit (ii) mass 'M' of the sum and (iii) the gravitational constant G. Show dimensionally that T^(2) prop r^(2) .

The period of revolution of a satellite depends upon the radius of the orbit, the mass of the planet and the gravitational constant. Prove that the square of the period varies as the cube of the radius.

Consider a planet of mass (m), revolving round the sun. The time period (T) of revolution of the planet depends upon the radius of the orbit (r), mass of the sun (M) and the gravitational constant (G). Using dimensional analysis, verify Kepler' third law of planetary motion.