Answer:
Option C - 9 AU
Step-by-step explanation:
To find : What is the average distance from Planet B to the star?
Solution :
According to kepler's law,
The squares of the sidereal periods (of revolution) of the planets are directly proportional to the cubes of their mean distances from the Sun.
i.e.
We have given,
The average distance from the star to Planet A is AU.
It takes 432 Earth days for Planet A to orbit the star i.e.
It takes 1,460 days for Planet B to complete an orbit i.e.
Substitute the values in
Taking root cube both side,
The average distance from Planet B to the star is 9 AU.
Therefore, Option C is correct.