On a metre scale having reading 1cm,2cm,3cm..., masses of 1g,2g,3g,... are kept respectivelyif an axis passes through the mid then wat is the moment of inertia of this body

I = mr²

particles are placed at 1,2,3........& so on

I₁ = m₁r₁² , I₂ = m₂r₂²  & so on ........

I = I₁ + I₂ + I₃ ............... n

I = 10^-7[(1)(1)² + 2(2)² + (3)(3²)  ...................n]            ( putting m in grams & r in m)

I =  10^-7[1³ + 2³ + 3³  ..........n]

I = [n(n+1)/2 ]² *10^-7 kg-m²

here n is the number of particles ....

this will form a series of 100(1 +2^2 +3^2 +.................50^2) soling wil give 0.8585 kg-m^2