Answer:
the time period is 22.63 years
Explanation:
The computation of the number of years taken is as follows:
According to the Keplers law
[tex]T^2 \propto R^3[/tex]
Here T denotes the time period
And, R denotes the average distance among the sun and planet
Now let us assume for earth
R_1 & T_1 be 1 year
So, for Planet
[tex]R_2 = 8R_1 , T_2 = ?[/tex]
Now applied Keplers law
[tex](\frac{T_2}{T_1})^2 \propto (\frac{R_2}{R_1})^3\\\\(T_2)^2 = (\frac{8R_1}{R_1})^3 \times 1^2\\\\(T_2)^2 = 512\\\\T_2 = 22.674[/tex]
So, the time period is 22.63 years
