The identical metal spheres of radius 10 cm are in contact with each other. If density of the metal is 10 g/cc, the graviational force between the spheres is
`(pi^(2)=10)`

Options

A. `2.96xx10^(-4)N`
B. `2.96xx10^(-6)N`
C. `1.58xx10^(-4)N`
D. `1.584xx10^(-6)N`

Answer

b

Explanation

`F=Gxx(((4)/(3)pir^(3)rho)^(2))/((2r)^(2))=(4)/(9)pi^(2)Grho^(2)r^(4)`
`=29.6xx10^(-11)(10xx10^(3))^(2)xx(10xx10^(-2))^(4)`
`=29.6xx10^(-7)`
`=2.96xx10^(-6)N`