If the distance between Sun and Earth is made two third times of the

1.	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
Answer» Correct option is: (D) \(\frac{9}{4}\) times Gravitational Force \(F = \frac{G \ m_1m_2}{r^2}\) \(\frac{F_2}{F_1} = \left(\frac{r_1}{r_2}\right)^2\) \(\frac{F_2}{F_1} = \left(\frac{r_1}{\frac{2}{3}r_1}\right)^2\) \(\frac{F_2}{F_1} = \frac{9}{4}\) \(\implies F_2 = \frac{9}{4} \ F_1\) Correct option is: (D) \(\frac{9}{4}\) times

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

Answer»

Correct option is: (D) \(\frac{9}{4}\) times

Gravitational Force

\(F = \frac{G \ m_1m_2}{r^2}\)

\(\frac{F_2}{F_1} = \left(\frac{r_1}{r_2}\right)^2\)

\(\frac{F_2}{F_1} = \left(\frac{r_1}{\frac{2}{3}r_1}\right)^2\)

\(\frac{F_2}{F_1} = \frac{9}{4}\)

\(\implies F_2 = \frac{9}{4} \ F_1\)

Correct option is: (D) \(\frac{9}{4}\) times

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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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