If the distance between Sun and Earth is made two third times of the present value, then gravitational force between them will become
If the distance between Sun and Earth is made two third times of the present value, then gravitational force between them will become
(A) 4/9 times
(B) 2/3 times
(C) 1/3 times
(D) 9/4 times
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Correct option is: (D) \(\frac{9}{4}\) times
Gravitational Force
\(F = \frac{G \ m_1m_2}{r^2}\)
\(\frac{F_2}{F_1} = \left(\frac{r_1}{r_2}\right)^2\)
\(\frac{F_2}{F_1} = \left(\frac{r_1}{\frac{2}{3}r_1}\right)^2\)
\(\frac{F_2}{F_1} = \frac{9}{4}\)
\(\implies F_2 = \frac{9}{4} \ F_1\)
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