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 -

$\sqrt[]{3}$ years

Option 2 -

3 years

Option 3 -

9 years

Option 4 -

$3 \sqrt[]{3}$ years

2 Views | Posted 2 months ago

Asked by Shiksha User

1 Answer

Answered by

Payal Gupta | Contributor-Level 10

2 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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