Particles of masses $m, 2m, 3m, ...... nm$ $grams$ are placed on the same line at distances $l, 2l, 3l,...., nl\, cm$ from a fixed point. The distance of the centre of mass of the particles from the fixed point (in centimetres) is
Particles of masses $m, 2m, 3m, ...... nm$ $grams$ are placed on the same line at distances $l, 2l, 3l,...., nl\, cm$ from a fixed point. The distance of the centre of mass of the particles from the fixed point (in centimetres) is
- A
$\frac{{\left( {2n + 1} \right)l}}{3}$
- B
$\frac{l}{{n + 1}}$
- C
$\frac{{n\left( {{n^2} + 1} \right)l}}{2}$
- D
$\frac{{2l}}{{n\left( {{n^2} + 1} \right)}}$
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