Answer: Correct answer is B = 1.776933×[tex]10^{7}[/tex]
Explanation:
Given :
Moment of inertia I = 8.26×[tex]10^{36}[/tex] kg[tex]m^{2}[/tex]
Mass of planet m = 6.54×[tex]10^{22}[/tex] kg
Also, Planet is solid sphere so that, Moment of inertia is I = [tex]\frac{2}{5}[/tex] m[tex]R^{2}[/tex] =0.4m[tex]R^{2}[/tex]
Where R is radius of planet
Putting into calculation
We get,
I = [tex]\frac{2}{5}[/tex] m[tex]R^{2}[/tex]
8.26×[tex]10^{36}[/tex] = 0.4×6.54×[tex]10^{22}[/tex]×[tex]R^{2}[/tex]
8.26×[tex]10^{14}[/tex] = 2.616 [tex]R^{2}[/tex]
3.15749235×[tex]10^{14}[/tex] = [tex]R^{2}[/tex]
R = 1.776933×[tex]10^{7}[/tex]
Thus, Correct answer is B = 1.776933×[tex]10^{7}[/tex]
