Two planets P1 and P2 having masses M1 and M2 revolve around the sun in elliptical orbits with time period T1 and T2 respectively. the minimum and maximum distances of planets P1 from the sun are R and 3 R respectively. Whereas for planet P2, these are 2R and 4R respectively. Where R is the constant. Assuming M1 and M2 are much smaller than the mass of the sun, the magnitude of T2 /T1 is
1
\(\frac{3}{2} \sqrt{\frac{3}{2}}\)
2
\(\frac{2}{3} \sqrt{\frac{3}{2}}\)
3
\(\frac{3}{2} \sqrt{\frac{3 M_1}{2 M_2}}\)
4
\(\frac{2}{3} \sqrt{\frac{2 M_1}{3 M_2}}\)