Question

Beginning with the equation, ρR = ρsubstance /ρwater show that ,
Relative Density = mass of substance / mass of water
i.e ρR = msubstance /mwater , if the volume are equal
( you must prove that the equation is true)​

Answer 1

$\huge \boxed {\mathcal{Hey \: \: \: there \: \: !!}}$

solution :

we know,

$\boxed{density = \dfrac{mass}{volume} }$

let the mass of substance be $m_1$

and volume be $v$

density of substance :

• $ds = \dfrac{m_1 }{v}$

now, let the mass of water be $m_2$

and volume be $v$

density of water :

• $dw = \dfrac{m_2}{v}$

relative density :

• $\dfrac{ds}{dw}$

• $\dfrac{m1}{v} \div \dfrac{m2}{v}$

since, volume is same they would cancel off

• $\boxed{relative \: \: density \: \: = \dfrac{m1}{m2} }$

proved...