Choose the correct statement from the followi | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The orbital period $T$ of a satellite is given by the formula: $T = 2\pi \sqrt{\frac{r^3}{GM}}$Squaring both sides,we get: $T^2 = 4\pi^2 \frac{r^3

Vedclass · Accepted Answer

Mass of the earth,time period of the satellite and the gravitational constant

Vedclass · Answer

(D) The orbital period $T$ of a satellite is given by the formula: $T = 2\pi \sqrt{\frac{r^3}{GM}}$Squaring both sides,we get: $T^2 = 4\pi^2 \frac{r^3}{GM}$Rearranging the equation to solve for the orbital radius $r$: $r^3 = \frac{GMT^2}{4\pi^2}$Therefore,$r = \left( \frac{GMT^2}{4\pi^2} \right)^{1/3}$From this expression,it is clear that the radius $r$ depends only on the mass of the Earth $(M)$,the gravitational constant $(G)$,and the time period of the satellite $(T)$. It is independent of the mass of the satellite $(m)$.

Choose the correct statement from the following: The radius of the orbit of a geostationary satellite depends upon

Similar Questions

$A$ satellite is in a circular equatorial orbit of radius $r = 7000 \, km$ around the Earth. If it is transferred to a circular orbit of double the radius $(2r)$,then its angular momentum will:

$A$ satellite $S$ is moving in an elliptical orbit around the Earth. The mass of the satellite is very small compared to the mass of the Earth.

The orbital velocity of an artificial satellite in a circular orbit just above the earth's surface is $v$. For a satellite orbiting at an altitude of half the earth's radius above the surface,the orbital velocity is:

$A$ satellite is moving around the earth with speed $v$ in a circular orbit of radius $r$. If the orbit radius is decreased by $1\%$,its speed will

Assertion $(A):$ An astronaut in an orbiting space station above the earth experiences weightlessness.
Reason $(R):$ An object moving around the earth under the influence of earth's gravitational force is in a state of 'free fall'.

Vedclass Test Series

Exam Paper Generator

Online Exam Module