Home
Class 11
PHYSICS
An artificial satellite is revolving aro...

An artificial satellite is revolving around a planet of mass M and radius R, in a circular orbit of radius r. From Kelper's Third law about the period of a satellite around a common central body, square of the period of revolution T is proportional to the cube of the radius of the orbit r. Show usnig dimensional analysis, that `T = (k)/(R ) sqrt((r^3)/(g)),` Where k is a dimensionless constant and g is acceleration due to gravity.

Promotional Banner

Similar Questions

Explore conceptually related problems

An artificial satellite is revolving around a planet of mass M and radius R in a circular orbit of radius r. From Kepler's third law about the period of a satellite around a common central body, square of the period of revolution T is proportional to the cube of the radius of the orbit r. Show using dimensional analysis that T=(k)/(R) sqrt((r^(3))/(g)) where k is dimensionless RV g constant and g is acceleration due to gravity.

An artificial satellite is revolving around a planet fo mass M and radius R, in a circular orbit of radius r. From Kepler's third law about te period fo a satellite around a common central bdy, square of the period of revolution T is proportional to the cube of the radius of the orbit r. Show usingn dimensional analysis, that T = k/R sqrt((r^3)/(g)) , where k is a dimensionless constant and g is acceleration due to gravity.

An artifical satellite is revolving around a planet of mass M and radius R, in a circular orbit of radius r. Using dimensional analysis show that the period of the satellite. T=k/Rsqrt(r^3/g) where k is a dimensionless constant and g is acceleration due to gravity.

An artificial satellite is revolving around the earth in a circular orbit of radius r. If the time period of revolution of the satellite is T, show that T^2 prop r^3 .

An artificial satellite is revolving round a planet of mass M and radius R in a circular orbit of radius 'r' . If its period of revolution T obeys Kepler's law i.e. T^(2)propr^(3). What is relation for the period of revolution in terms of R,r and "g" the accelerations due to gravity on the planet ?

An artificial satellite revolves around a planet in circular orbit close to its surface. Obtain the formula for period of the satellite in terms of density U and radius R of planet.

A satellite whose mass is M , is revolving in circular orbit of radius r around the earth. Time of revolution of satellite is

The period of a satellite in a circular orbit of radius R is T , the period of another satellite in a circular orbit of radius 4R is