Question

Orbits of four different planets around the same star are shown. The masses of the planets, expressed in terms of the mass M of the smallest planet, can be found in the included 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. Rank the period T of the four orbits, from longest to shortest.

Orbits of four different planets around the same star are shown. The masses of the planets, expressed in terms of the mass M of the smallest planet, can be found in the included 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. Rank the period T of the four orbits, from longest to shortest. TA = TB > TC = TD TD = TC > TB = TA TA > TD > TB > TC TC > TA > TD > TB TA = TB = TC = TD TA > TC > TB > TD TD > TC > TB > TA TD > TB > TC > TA

Answer 1

T^2 is proportional to R^3

Where T = Time Period

R = Radius of orbit

In case of elliptical orbits, R = Semi Major Axis i.e. Length of orbit divided by 2.

Thus we get Ra = 4, Rb = 4, Rc = 6 and Rd = 6

Thus TD = TC > TB = TA i.e. SECOND OPTION

Answer 2