An unknown planet orbits the sun with distance twice the semi major axis distance of the Earth's orbit. It the Earths time period is T_(1) , what is the time period of this period is 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. It the Earths time period is T_(1) , what is the time period of this period is planet?
Answer» <html><body><p></p>Solution :By Kepler.s 3rd <a href="https://interviewquestions.tuteehub.com/tag/law-184" style="font-weight:bold;" target="_blank" title="Click to know more about LAW">LAW</a>`T^(2)prop a^(3)`<br/> <a href="https://interviewquestions.tuteehub.com/tag/time-19467" style="font-weight:bold;" target="_blank" title="Click to know more about TIME">TIME</a> periodof unknownplanet = `T_(2)`<br/> Time <a href="https://interviewquestions.tuteehub.com/tag/period-1151023" style="font-weight:bold;" target="_blank" title="Click to know more about PERIOD">PERIOD</a> of <a href="https://interviewquestions.tuteehub.com/tag/earth-13129" style="font-weight:bold;" target="_blank" title="Click to know more about EARTH">EARTH</a> =`T_(1)` <br/> Distance of unknown <a href="https://interviewquestions.tuteehub.com/tag/planet-1155613" style="font-weight:bold;" target="_blank" title="Click to know more about PLANET">PLANET</a> from the Sun= `a_(2)` <br/>`(T_(1)^(2))/(T_(2)^(2)) = (a_(1)^(2))/(a_(2)^(3))`<br/> `T_(2) = ((a_(2))/(a_(1)))^(3/2)T_(1)""a_(2)=2a`<br/> `T_(2) = ((2a_(1))/(a_(1)))^(3/2)T_(1) rArrT_(2) =2sqrt(2)T_(1)`</body></html>