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 = (mass)/(volume) }`

let the mass of substance be
`m_1`

and volume be
`v`

density of substance :

• 
  `ds = (m_1 )/(v)`

now, let the mass of water be
`m_2`

and volume be
`v`

density of water :

• 
  `dw = (m_2)/(v)`

relative density :

• 
  `(ds)/(dw)`

• 
  `(m1)/(v) / (m2)/(v)`

since, volume is same they would cancel off

• 
  `\boxed{relative \: \: density \: \: = (m1)/(m2) }`

proved...