Question

Two identical satellites are at the heights R and 7R from the earth's surface. Then which of the following statement is correct :
(R = Radius of the earth)

• A. Ratio of total energy of both is 5
• B. Ratio of kinetic energy of both is 6
• C. Ratio of potential energy of both 9
• D. Ratio of total energy of both is 4

Answer 1

The correct option is D Ratio of total energy of both is 4

$p\epsilon =\frac{{-GM}_m}{h}$ where his distance of object from center of earth,

from two identical satellite $h_1=2R$

$h_2=8R$

$\frac{{p\epsilon }_1}{{p\epsilon }_2}=\frac{h_2}{h_1}=4$

$k\epsilon =\frac{-p\epsilon }{2}\Rightarrow \frac{k{\epsilon }_1}{k{\epsilon }_2}=4$

$T\epsilon =\frac{p\epsilon }{2}\Rightarrow \frac{{T\epsilon }_1}{{T\epsilon }_2}=4$