Asatellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into an orbit of radius (1.04) R. Then the period of the second satellite is large than that of the first one by approximately

Options

A. `1.5%`
B. `1.0%`
C. `6.0%`
D. `3.0%`

Answer

c

Explanation

`T_(1)^(2) prop R_(1)^(3) therefore (T_(2))/(T_(1))=[(R_(2))/(R_(1))]^(3//2)=(1.01)^(3//2)`
`(DeltaT)/(T)=(3)/(2)(DeltaR)/(R)`
`therefore" "(T_(2)-T_(1))/(T_(1))=(3)/(2)xx4=6`