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7.Gravitation
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Two identical spheres are placed in contact with each other. The force of gravitation between the spheres will be proportional to ($R =$ radius of each sphere)
A
$R$
B
${R^2}$
C
${R^4}$
D
None of these
Solution
(c) $F = G\frac{{M \times M}}{{{R^2}}} = \frac{{G\, \times \,{{\left( {\frac{4}{3}\pi {R^3}\rho } \right)}^2}}}{{{{(2R)}^2}}} \Rightarrow F \propto \frac{{{R^6}}}{{{R^2}}} \propto {R^4}$
Standard 11
Physics
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