The distance between Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes 3R will be

Option 1 - <math> <mrow> <mroot> <mrow> <mn>3</mn> </mrow> <mrow></mrow> </mroot> </mrow> </math> years

Option 2 - 3 years

Option 3 - 9 years

Option 4 - <math><mrow><mn>3</mn><mroot><mrow><mn>3</mn></mrow><mrow></mrow></mroot></mrow></math> years

2 Views|Posted 8 months ago

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Payal Gupta | Contributor-Level 10

8 months ago

Correct Option - 4

Detailed Solution:

$T^{2} α R^{3}$

$\begin{array}{l} \Rightarrow \frac{{T_{1}}^{2}}{{T_{2}}^{2}} = \frac{{R_{1}}^{3}}{{R_{2}}^{3}} \\ \Rightarrow \frac{{T_{1}}^{2}}{{T_{2}}^{2}} = \frac{R^{3}}{{(3 R)}^{3}} \\ T_{2} = 3 \sqrt[]{3} y e a r s \end{array}$

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