During a sedimentation test for grain size analysis, the corrected hydrometer reading in a $1000$ cc

uniformly mixed soil suspension at the instant of starting of sedimentation $(t=0)$ was $1\mathrm{.}030.$ After $30$min,

the corrected hydrometer reading at an effective depth of $10$ cm was noted to be $1\mathrm{.}015.$ If the specific gravity

of soil solids is $2\mathrm{.}65$ and viscosity of water is $0\mathrm{.}01$ dyne$-$s$/c{m}^2,$ find $($i$)$ the total weight of soil solids placed

in the $1000$ cc suspension, and $($ii$)$ the diameter corresponding to the $30$ min reading and the percentage finer.

$[$Ans: $($i$)48\mathrm{.}2$ g $,($ii$)7\mathrm{.}86m,($iii$)50\%]$