Gravitational Force Square Mass Ratio (Jee Mains)

Gravitational Force & Field

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Gravitational Force Square Mass Ratio

Net gravitational force at the centre of a square is found to be F₁ when four particles having mass M, 2M, 3M and 4M are placed at the four corners of the square as shown in figure and it is F₂ when the positions of 3M and 4M are interchanged. The ratio $\frac{{{F_1}}}{{{F_2}}}$ is $\frac{\alpha }{{\sqrt 5 }}$ . The value of α is _____.

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