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

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(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

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

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(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)

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