The density of mercury is $13.6 g c m^{- 3}$ and the density of water is $1 g c m^{- 3}$ . Determine the ratio of mass of mercury and water when volumes are equal.

$1 : 13.6$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$13.6 : 1$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$2 : 13$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$13.2 : 6$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
$13.6 : 1$

Explanation for correct answer: Option(A)
Step 1: Given Data:
Density of water, $d_{1} = 1 g / c m^{3}$
Density of mercury, $d_{2} = 13.6 g / c m^{3}$
Volume of water= volume of mercury,
Step 2: Density of liquid:
Density of water is given as,
$d_{1} = \frac{m a s s o f w a t e r (m_{1})}{V o l u m e o f w a t e r} \Rightarrow 1 g / c m^{3} = \frac{m_{1}}{V} \Rightarrow m_{1} = V \times 1 g / c m^{3}$
Density of mercury is given as,
$d_{2} = \frac{m a s s o f m e r c u r y (m_{2})}{V o l u m e o f m e r c u r y} \Rightarrow 13.6 g / c m^{3} = \frac{m_{2}}{V} \Rightarrow m_{2} = V \times 13.6 g / c m^{3}$
Ratio of mass of mercury and water, $\frac{m_{2}}{m_{1}} = \frac{V \times 13.6}{V \times 1} = \frac{13.6}{1}$
Hence, the ratio of mass of mercury and water when volumes are equal. $= 13.6 : 1$

Suggest Corrections

Similar questions

Iron sinks in water and floats in mercury.

Density of Iron - $7.6 g / c m^{3}$

Density of Water - $1 g / c m^{3}$

Density of Mercury - $13.7 g / c m^{3}$

Q. A vessel contains oil (density =

0.8 g / {c m}^{3}

) over mercury (density =

13.6 g / {c m}^{3}

). A uniform sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of sphere in

g / {c m}^{3}

The density of water 1.0 g $c m^{-} 3$ . The density of iron is 7.8 g $c m^{-} 3$ . The density of mercury is of 13.6 g $c m^{-} 3$ . Answer the following :

(a) Will a piece of an iron float or sink in water?

(b) Will a piece of an iron float or sink in mercury?

Q. A vessel contains oil (density

= 0.8 g / {c m}^{2}

) over mercury (density

= 13.6 g / {c m}^{3}

). A homogenous sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of the sphere in

g / {c m}^{3}

Q. A vessel contains oil (density =

0.8 {g/cm}^{3})

over mercury (density =

13.6 {g/cm}^{3})

. A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the material of the sphere in

{g/cm}^{3}

Join BYJU'S Learning Program

The density of mercury is 13.6gcm-3and the density of water is 1gcm-3. Determine the ratio of mass of mercury and water when volumes are equal.

The density of mercury is $13.6 g c m^{- 3}$ and the density of water is $1 g c m^{- 3}$ . Determine the ratio of mass of mercury and water when volumes are equal.