Two identical satellites are at R and 7R away | vedclass

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

Question

(D) The orbital radii of the satellites are $r_1 = R + R = 2R$ and $r_2 = R + 7R = 8R$.For a satellite of mass $m$ orbiting Earth of mass $M$,the pote

Vedclass · Accepted Answer

Ratio of total energy will be $4$ but ratio of potential and kinetic energies will be $2$

Vedclass · Answer

(D) The orbital radii of the satellites are $r_1 = R + R = 2R$ and $r_2 = R + 7R = 8R$.For a satellite of mass $m$ orbiting Earth of mass $M$,the potential energy is $U = -\frac{GMm}{r}$,kinetic energy is $K = \frac{GMm}{2r}$,and total energy is $E = -\frac{GMm}{2r}$.Calculating the ratios:$\frac{U_1}{U_2} = \frac{r_2}{r_1} = \frac{8R}{2R} = 4$.$\frac{K_1}{K_2} = \frac{r_2}{r_1} = \frac{8R}{2R} = 4$.$\frac{E_1}{E_2} = \frac{r_2}{r_1} = \frac{8R}{2R} = 4$.Since all these ratios are equal to $4$,the statement in option $(D)$ is incorrect.

Two identical satellites are at $R$ and $7R$ away from the Earth's surface. Which of the following statements is incorrect? ($R$ = Radius of Earth)

Similar Questions

Two satellites of masses $m_1$ and $m_2$ $(m_1 > m_2)$ are revolving around the Earth in circular orbits of radii $r_1$ and $r_2$ $(r_1 > r_2)$ respectively. Which of the following statements is true regarding their speeds $v_1$ and $v_2$?

At which height can a satellite be in a geostationary orbit? To remain geostationary,obtain the equation for its height from the surface of the Earth.

$A$ 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:

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module