Question
Two identical satellites are at $R$ and $7R$ away from earth surface, the wrong statement is ($R $ = Radius of earth)
✓
Answer
(d)Orbital radius of satellites ${r_1} = R + R = 2R$
${r_2} = R + 7R = 8R$
${U_1} = \frac{{ - GMm}}{{{r_1}}}$ and ${U_2} = \frac{{ - GMm}}{{{r_2}}}$
${K_1} = \frac{{GMm}}{{2{r_1}}}$ and ${K_2} = \frac{{GMm}}{{2{r_2}}}$
${E_1} = \frac{{GMm}}{{2{r_1}}}$ and ${E_2} = \frac{{GMm}}{{2{r_2}}}$
$\frac{{{U_1}}}{{{U_2}}} = \frac{{{K_1}}}{{{K_2}}} = \frac{{{E_1}}}{{{E_2}}} = 4$
${r_2} = R + 7R = 8R$
${U_1} = \frac{{ - GMm}}{{{r_1}}}$ and ${U_2} = \frac{{ - GMm}}{{{r_2}}}$
${K_1} = \frac{{GMm}}{{2{r_1}}}$ and ${K_2} = \frac{{GMm}}{{2{r_2}}}$
${E_1} = \frac{{GMm}}{{2{r_1}}}$ and ${E_2} = \frac{{GMm}}{{2{r_2}}}$
$\frac{{{U_1}}}{{{U_2}}} = \frac{{{K_1}}}{{{K_2}}} = \frac{{{E_1}}}{{{E_2}}} = 4$
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