A) (144)3/2
B) (144)2/3
C) \[\sqrt[3]{144}\]
D) \[\sqrt[4]{144}\]
Correct Answer: C
Solution :
The time period the earth around the sun \[{{T}^{2}}\propto {{a}^{3}}\] ?(i) According to the question \[{{(12T)}^{2}}\propto {{(na)}^{3}}\] ?(ii) \[\therefore \] \[\frac{{{(12T)}^{2}}}{{{T}^{2}}}=\frac{{{(na)}^{3}}}{{{a}^{3}}}\] or \[144={{n}^{3}}\] or \[n=\sqrt[3]{144}\]
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