Calculate the orbital period of a dwarf planet found to have a semimajor axis of a = 4.0x 10^12 meters in seconds and years.

Explanation:

We have,

Semimajor axis is

It is required to find the orbital period of a dwarf planet. Let T is time period. The relation between the time period and the semi major axis is given by Kepler's third law. Its mathematical form is given by :

G is universal gravitational constant

M is solar mass

Plugging all the values,

Since,

So, the orbital period of a dwarf planet is 138.52 years.

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