Question

Density of a liquid in CGS system is $0.625g/c{m}^3$ What is its magnitude in SI system?

Answer 1

Given, density of liquid in C.G.S, system
$=0.625g/c{m}^3$.

Let magnitude of density of liquid in SI System be $n^2$.

$n_2=n_1{\left[\frac{M_1}{M_2}\right]}^1{\left[\frac{L_1}{L_2}\right]}^{-3}{\left[\frac{T_1}{T_2}\right]}^0$

$n_2=0.625{\left(\frac{gm}{kg}\right)}^1{\left(\frac{cm}{m}\right)}^{-3}$

$n_2=0.625{\left(\frac{gm}{{10}^{3}gm}\right)}^1{\left(\frac{cm}{{10}^{2}cm}\right)}^{-3}$

$n_2=0.625\times {10}^3=625$

Final answer : $625$