Net gravitational force at the center of a square is found to be when four particles having mass M, 2M, 3M and 4M are placed at the four corners of the square as shown in figure and is when the positions of 3M and 4M are interchanged. The ratio is . Th

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Solution

Q.
Net gravitational force at the center of a square is found to be $F_{1}$ when four particles having mass M, 2M, 3M and 4M are placed at the four corners of the square as shown in figure and is $F_{2}$ when the positions of 3M and 4M are interchanged. The ratio $\frac{F_{1}}{F_{2}}$ is $\frac{α}{\sqrt{5}}$ . The value of $α$ is ________. [2026]

1 $1$

2 $3$

3 $2 \sqrt{5}$

4 $2$

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