It is known that the time of revolution `T` of a satelite around the earth depends on the universal gravitational constant G, the mass of the earth M, and the radius of the circular orbit R. Obtain an expression for `T` using dimensional analysis.

The speed v of a satellite moving in a circular orbit around the earth depends on the gravitational constant G , mass of the earth m_(e) and radius of circular orbit r . Estabish the relation using dimensions.

Deduce an expression in terms of mass of the earth 'M' And universal gravitational constant 'G' and gravity 'g'.

The acceleration due to gravity at a piece depends on the mass of the earth M, radius of the earth R and the gravitational constant G. Derive an expression for g?

The acceleration due to gravity'g' for objects on or near the surface of earth is related to the universal gravitational constant 'G' as ('M' is the mass of the earth and 'R' is its radius):

Length of a year on a planet is the duration in which it completes one revolution around the sun. Assume path of the planet known as orbit to be circular with sun at the centre. The length T of a year of a planet orbiting around the sun in circular orbit depends on universal gravitational constant G, mass m_(s) of the sun and radius r of the orbit. if TpropG^(a)m_(s)^(b)r^(c) find value of a+b+2c.

Length of a year on a planet is the duration in which it completes one revolution around the sun. Assume path of the planet known as orbit to be circular with sun at the centre. The length T of a year of a planet orbiting around the sun in circular orbit depends on universal gravitational constant G, mass m_(s) of the sun and radius r of the orbit. if TpropG^(a)m_(s)^(b)r^(c) find value of a+b+2c.

Length of a year on a planet is the duration in which it completes one revolution around the sun. Assume path of the planet known as orbit to be circular with sun at the centre. The length T of a year of a planet orbiting around the sun in circular orbit depends on universal gravitational constant G, mass m_(s) of the sun and radius r of the orbit. if TpropG^(a)m_(s)^(b)r^(c) find value of a+b+2c.

The escape velocity of a body from the surface of the earth depends upon (i) the mass of the earth M, (ii) The radius of the eath R, and (iii) the gravitational constnat G. Show that v=ksqrt((GM)/R) , using the dimensional analysis.

A satellite revolves around the earth in a circular orbit. What will happen to its orbit if universal gravitational constant start decreasing with time.