The diagrams represent four measuring cylinders containing liquids. The mass and volume of the liquid in each cylinder are stated. Which two measuring cylinders could contain an identical liquid?

(a) W and X
(b) W and Y
(c) X and Y
(d) X and Z"

In container X:

Density of the liquid in $d_W=\frac{mass}{volume}$

$=\frac{80\ gm}{100\ cm^3}$

$=0.8\ gm/cm^3$

In container X:

Density of the liquid in $d_X=\frac{mass}{volume}$

$=\frac{100\ gm}{100\ cm^3}$

$=1\ gm/cm^3$

In container Y:

Density of the liquid in $d_Y=\frac{mass}{volume}$

$=\frac{100\ gm}{80\ cm^3}$

$=1.25\ gm/cm^3$

In container Z:

Density of the liquid in $d_Z=\frac{mass}{volume}$

$=\frac{80\ gm}{80\ cm^3}$

$=1\ gm/cm^3$

Here we observe that, $d_X=d_Z$, which means that the densities of the liquids in containers X and Z are the same. So it can be said that the liquids in container X and container Z could contain identical liquid.

So, option (d) is correct.

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Updated on: 10-Oct-2022

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