Kepler’s Third Law...Which statement is true?

Question

According to Kepler’s Third Law, the sidereal period, in years, of a planet squared is equal to its semi-major axis, in Astronomical Units, cubed. Which statement is true in the context of this law?

a. A planet that has a greater mass takes more time to orbit the Sun.
b. A planet that has a larger semi-major axis takes more time to orbit the Sun.
c. A planet that has a greater size takes more time to orbit the Sun.
d. A planet that has a larger semi-major axis takes less time to orbit the Sun.
e. A planet that has a longer solar day is farther from the Sun.


Is the answer to this question B?????

Thank you

Answer 1

In equation form, Kepler's third law states that:

T^2 = D^3


where T is the orbital period in years
D is the semi-major axis in A.U.


The law says nothing about the mass, size, or length of day of a planet, so answers a, c, and e are obviously incorrect.

Look at the above equation. As D gets larger, then so does D^3. If D^3 gets larger than so does T^2, and therefore so does T.

Answer B is correct.

Answer 2

Yes, I do think the option 'b' is the right one.

NOTE
____________________________________________________
[Kepler's third law states :
The squares of the orbital periods of planets are directly proportional to the cubes of the semi-major axis of the orbits.
T^2 proportional to a^3
where,
T = orbital period of planet
a = semimajor axis of orbit ]

Answer 3

it rather is and became right into a pretend prophecy of the Watchtower Society. The Watchtower Society became into betraying each and every of the JW's for his or her very own targets and objective. Then that they had the gull to place the blame on the JW's on the time and a great style of fell prey back, collectively as others observed the genuine "gentle" and have been given out of this fake religious enterprise. devil blinds people who look for man made religions and that he can use for his objective. He fairly did right here and has continued doing so until eventually this very day. tempestuous T has an exceptionally valid ingredient, they are discovering from thier errors. they are back to advertising "the top" yet without dates. they are liking it too the top of a soccer activity interior the final quarter. Run, Run Run, get those magazines accessible and shop all those from Christendom which you will. Push, push, push those magazines. I call it the "Henny Penny" syndrom. The ski is falling, the sky is falling, right this moment knock on extra doorways peddle those magazines! me me me - You tend to apply a Digression or purple herring on your solutions, as many JW's do. it rather is someone-friendly tactic utilized by potential of those whom have not got a sparkling answer or would not understand the respond or their answer has been thoroughly compromised and is now not valid. so they use this tactic to thoroughly exchange the project or divert the question so they are able to thoroughly divert the argument it rather is self. optimistically producing a thoroughly diverse argument. it is likewise understand to many persons because of the fact the "JW 2 step". There are some JW's in this sort that supply solid and finished solutions, it makes little distinction as to no count if I agree or disagree with them, you're doing little provider to those whom debate in solid faith, that are of an identical faith as your self.

Answer 4

Yup, B is the only right answer.

Answer 5

Hi. B is correct.