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Four identical spheres of radius r are arranged such that centers of three of them form an equilateral triangle and the fourth one rests symmetrically above the triangle touching all of them. Find : (i) The area of the triangle thus formed. (ii) Perpendicular distance between the triangle and the center of the fourth atom. (iii) Are all the balls identical in the arrangement ?

Four identical spheres of radius r are arranged such that centers of three of them form an equilateral triangle and the fourth one rests symmetrically above the triangle touching all of them. Find : (i) The area of the triangle thus formed. (ii) Perpendicular distance between the triangle and the center of the fourth atom. (iii) Are all the balls identical in the arrangement ?

Grade:11

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