An massless equilateral triangle \(EFG\) of side \('a'\) (As shown in figure) has three particles of mass \(m\) situated at its vertices. The moment of intertia of the system about the line \(EX\) perpendicular to \(EG\) in the plane of \(EFG\) is \(\frac{ N }{20}\, ma ^{2}\) where \(N\) is an integer. The value of \(N\) is

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(A) \(25\)

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Detailed explanation

\(I =0+ m \left(\frac{ a }{2}\right)^{2}+ ma ^{2}\)

\(=\frac{5}{4} ma ^{2}\)

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