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Question 25 of 29 Sapling Learning Map Orbits of four different planets around t

ID: 777583 • Letter: Q

Question

Question 25 of 29 Sapling Learning Map Orbits of four different planets around the same star are shown. The masses of the Planet Mass CIM A. anets in terms of the mass M of the smallest planet, can be found in the uded table, while the relative sizes of the orbits can be determined from the diagram. Assume that the mass of the star is much larger than the mass of the planets. 41M Rank the periad T of the four orbits, from longest to shortest 450M D 6100M To>T >TA> Tc O Previous Give Up & View Solution ) Check Answer O Next Exit Hint

Explanation / Answer

According to Kepler's law, the time period is related to length of semi major axis as follows:

T^2 = 4 pi a^3/GM

a = length of orbit/2

Tc = Tb > Ta = Td

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