JAMB - Physics (2020 - No. 16)

A solid weighs 4.8g in air, 2.8g in water and 3.2g in Kerosine. The ratio of density of the solid to that of the kerosine is 
2
\(\frac{3}{2}\)
\(\frac{2}{3}\)
3

Explanation

Relative density of solid

\(\frac{\text{weight of solid}}{\text{weight of an equal volume of water}}\)

= \(\frac{4.8}{4.8 - 2.8}\) 

= \(\frac{4.8}{2}\) = 2.4

Relative density of liquid 

=  \(\frac{\text{Weight  of liquid kerosine}}{\text{Weight of an equal volume of water}}\) 

= \(\frac{4.8 - 3.2}{4.8 - 2.8}\)  = \(\frac{1.6}{2}\) = 0.8

= \(\frac{\text{Ratio of relative density of solid}}{\text{Relative density of Kerosine}}\) 

= \(\frac{\text{density of solid}}{\text{density of Kerosine}}\)

= \(\frac{2.4}{0.8}\) 

= 3

 

 

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