Question 67

Two planets $$P_{1}$$ and $$P_{2}$$ having masses $$M_{1}$$ and $$M_{2}$$ revolve around the sun in elliptical orbits with time period $$T_{1}$$ and $$T_{2}$$ respectively. the minimum and maximum distances of planets $$P_{1}$$ from the sun are R and 3R respectively. Whereas for planet $$P_{2}$$, these are 2R and 4R respectively. Where R is the constant. Assuming $$M_{1}$$ and $$M_{2}$$ are much smaller than the mass of the sun. the magnitude of $$T_{2}/T_{1}$$ is


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