A satellite is launched into a circular orbit of radius $R$ around the earth. A second satellite is launched into an orbit of radius $(1.01)R$. The period of the second satellite is larger than that of the first one by approximately ........... $\%$
A satellite is launched into a circular orbit of radius $R$ around the earth. A second satellite is launched into an orbit of radius $(1.01)R$. The period of the second satellite is larger than that of the first one by approximately ........... $\%$
$0.5$
$1$
$1.5$
$3$
A satellite is launched into a circular orbit of radius $R$ around the earth. A second satellite is launched into an orbit of radius $(1.01)R$. The period of the second satellite is larger than that of the first one by approximately ........... $\%$
In the problem orbital radius is increased by $1\%$.
Time period of satellite $T \propto {r^{3/2}}$
Percentage change in time period = $\frac{3}{2}$ ($\%$ change in orbital radius)
$= \frac{3}{2}(1\% ) = 1.5\% $
Other Language