If masses of two point objects is doubled and distance between them is tripled, then gravitational force of attraction between then will nearly

Options

A. incease by 225%
B. decrease by 44%
C. decrease by 56%
D. increase by 125%

Answer

C

Explanation

% change = ` ([G((2m_(1))(2m_(2)))/((3r)^(2))-(Gm_(1)m_(2))/(r^(2))])/(Gm_(1)m_(2)) xx 100`
` = ((4)/(9)-1)/(1) xx 100 = - 56%,`
-ve sign indicates that force of attraction decreases.