An unknown planet orbits the Sun with distance twice the semi major axis distance of the Earth's orbit. If the Earth's time period is T_(2), what is the time period of this unknown planet.

An unknown planet orbits the Sun with distance twice the semi major ax

1.	An unknown planet orbits the Sun with distance twice the semi major axis distance of the Earth's orbit. If the Earth's time period is T_(2), what is the time period of this unknown planet.
Answer» SOLUTION :Given:`a_(2)=2a_(1)` To find:`T_(2)=??` Formula:`T^(2)PROPA^(3)" "rArrTprop(a)^(3//2)` `T_(2)prop(2a_1)^(3//2)` `prop(2)^(3//2)(a_1)^(3//2)` `T_(2)prop2sqrt(2)T_(1)` `thereforeT_(2)=(2sqrt(2))T_(1)`