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Two identical satellites are at the heights $R$ and $7R$ from the Earth's surface. Then which of the following statement is incorrect. ($R =$ radius of the Earth)
Ratio of total energy of both is $5$
Ratio of kinetic energy of both is $4$
Ratio of potential energy of both $4$
Ratio of total energy of both is $4$ and ratio of magnitude of potential to kinetic energy is $2$
Solution
$p \varepsilon=\frac{-G M_{m}}{h}$ where his distance of object from center of earth,
from two identical satellite $h_{1}=2 R$
$h_{2}=8 R$
$\frac{p \varepsilon_{1}}{p \varepsilon_{2}}=\frac{h_{2}}{h_{1}}=4$
$k \varepsilon=\frac{-p \varepsilon}{2} \quad \Rightarrow \frac{k \varepsilon_{1}}{k \varepsilon_{2}}=4$
$T \varepsilon=\frac{p \varepsilon}{2} \Rightarrow \frac{T \varepsilon_{1}}{T_{G}}=4$
