Two metallic spheres each of mass M are suspended by two strings each of length L. The distance between the upper ends of strings is L (the same as length of the two strings). The angle which the strings will make the vertical due to mutual attraction of the sphere is :
1) tan-1[ GM / gL ]                        2) tan-1 [ GM / 2gL ]                     3) tan-1[ GM / gL2 ]                     4) tan-1 [ 2GM / gL2  ]  

Dear Student,
                       Horizontal gravitational force on the mettalic sphere=GMML2and vertical grational force due to earth =Mgso tan(θ)=horizonal forcevertical force =GMML2Mg=GMgL2θ=tan-1GMgL2

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