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

$A$ small satellite is revolving near the Earth's surface. Its orbital velocity will be nearly......... $km/sec$.

$A$ planet revolves around the Sun in an elliptical orbit. When it is closest to the Sun,its distance from the Sun is $d_1$ and its velocity is $v_1$. When it is farthest from the Sun,its distance from the Sun is $d_2$. What is its velocity at that point?

The weight of an astronaut,in an artificial satellite revolving around the earth,is

$A$ geostationary satellite is orbiting the earth at a height of $5R$ above the surface of the earth,where $R$ is the radius of the earth. The time period of another satellite in hours at a height of $2R$ from the surface of the earth is:

Two satellites are revolving around the Earth with orbital velocities $v_1$ and $v_2$ at radii $r_1$ and $r_2$ respectively,where $r_1 > r_2$. Then:

Vedclass Test Series

Exam Paper Generator

Online Exam Module