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 (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

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.

A satellite is orbiting the earth in a circular orbit of radius r. Its period of revolution varies as

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

When a satellite revolves around the sun in a circular orbit of radius a with a period of revolution T, and if K is a positive constant, then

For a planet of mass M, moving around the sun in an orbit of radius r, time period T depends on its radius (r ), mass M and universal gravitational constant G and can be written as : T^(2)= (Kr^(y))/(MG) . Find the value of y.

If a planet of mass m is revolving around the sun in a circular orbit of radius r with time period, T then mass of the sun is

For planets revolving round the sun, show that T^(2) prop r^(3) , where T is the time period of revolution of the planet and r is its distance from the sun.

Imagine a light planet revolving around a very massive star in a circular orbit of radius r with a period of revolution T. On what power of r will the square of time period will depend if the gravitational force of attraction between the planet and the star is proportional to r^(-5//2) .

A satellite is orbiting around a planet. Its orbital velocity (V_(0)) is found to depend upon (A) Radius of orbit (R) (B) Mass of planet (M) (C ) Universal gravitatin contant (G) Using dimensional anlaysis find and expression relating orbital velocity (V_(0)) to the above physical quantities.