For a satellite to orbit around the earth, wh | vedclass

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

Question

For any object (satellite) to revolve another body(earth), it must have the center of body in its orbital plane. As equator being one of the planes wi

Vedclass · Accepted Answer

$(A)$ and $(B)$ both

Vedclass · Answer

For any object (satellite) to revolve another body(earth), it must have the center of body in its orbital plane. As equator being one of the planes with center of earth, satellite's orbital plane must intersect with it atleast once. So, a satellite must be over equator at some time.

The time period of satellite is given by $T=2 \pi \sqrt{\frac{r}{g}}$

Here, $r=R+h$ where $R=$ radiusofearth, $h=$height from surface of earth.

 So, $T=2 \pi \sqrt{\frac{R+h}{g}}>2 \pi \sqrt{\frac{R}{g}}$

For a satellite to orbit around the earth, which of the following must be true ?

Similar Questions

If the earth stops rotating, the value of $‘g’$ at the equator will

The diameters of two planets are in the ratio $4 : 1$ and their mean densities in the ratio $1 : 2$. The acceleration due to gravity on the planets will be in ratio

The acceleration due to gravity at height $h$ above the earth if $h \ll R$ (radius of earth) is given by

If $M$ the mass of the earth and $R$ its radius, the ratio of the gravitational acceleration and the gravitational constant is

The height of the point vertically above the earth’s surface, at which acceleration due to gravity becomes $1\%$ of its value at the surface is (Radius of the earth $= R$)