Tag: measurement of density

Questions Related to measurement of density

If the mass of a body is $12.1  g$ and the density is $2.2  {g}/{cc}$, its volume is

  1. $5.5 {cm}^{3}$

  2. $8 cc$

  3. $11 cc$

  4. $55 cc$


Correct Option: A
Explanation:

 Density = $\dfrac {mass}{volume}$ 


 so volume =$\dfrac{mass}{density}$

hence volume =$\dfrac{12.1}{2.2} =5.5cc$

hence option (A) is correct

The density of a body is represented by the expression :

Where V is the volume and M is the mass of a body

  1. $D=\dfrac{V}{M}$

  2. D=M $ \displaystyle \times $ V

  3. $ D = \dfrac{1}{M \times V}$

  4. $ D = \dfrac{M}{V}$


Correct Option: D
Explanation:
The density of a body is defined as the amount of mass contained per unit volume of the body.
Density = $\dfrac{mass}{volume}$ = $\dfrac{M}{V}$

so option (D) is correct

In order to find the density of a solid we have to first know its :

  1. mass and area

  2. weight and area

  3. shape and volume

  4. mass and volume


Correct Option: D
Explanation:
The density of a body is defined as the amount of mass contained per unit volume of the body.

$density=mass/volume$
So, we need mass and volume to find the density.

Equal volumes of iron and aluminum have different masses because they have different _________ .

  1. shapes

  2. densities

  3. lengths

  4. times


Correct Option: B
Explanation:

If volume of iron = Volume of aluminium

then mass of iron > mass of aluminium
$\rho _{iron}\times V _{iron} > \rho _{aluminium}\times V _{aluminium}$
$\rho _{iron} > \rho _{aluminium}$

 The C.G.S. unit of density is g/$\displaystyle cm^{3}$ 

  1. True

  2. False


Correct Option: A
Explanation:

density of a substance is the characterstic property of material defined as mass per unit volume of the substance hence in CGS system its unit is gm/cc.

_______is the characteristic property of a substance.

  1. Density

  2. Velocity

  3. Temperature

  4. Displacement


Correct Option: A
Explanation:

Density of a substance is a characterstic property of a substance defined as mass of the substance per unit volume.

density = $\dfrac { mass\quad of\quad the\quad substance }{ volume\quad of\quad the\quad substance } $

Equal volumes of water and kerosene have equal masses. True or false.

  1. True

  2. False


Correct Option: B
Explanation:

The mass of the water and kerosene depends on the volume and the density of the each. Since the water and kerosene have different densities, they will have different mass for the same volumes.


Therefore, the given statement is false.

Density of a body depends on its shape and size. True or false.

  1. True

  2. False


Correct Option: B
Explanation:

Density of a liquid is a characterstic property of a substance & it is independent of any other external factors like volume etc.

The density of milk is 1.04 $ \displaystyle g/cm^{3} $ Therefore $ \displaystyle 1cm^{3} $ of milk has a mass of ______ g.

  1. $1.04$

  2. $2.08$

  3. $3.12$

  4. $4.16$


Correct Option: A
Explanation:

Given,    density = $1.04gm/{ cm }^{ 3 }$

              Volume = $1{ cm }^{ 3 }.$

 Mass of milk $= density \times  Volume$

                            = $1.04\dfrac { gm }{ { cm }^{ 3 } } \times { 1cm }^{ 3 }$

So, the mass of milk $= 1.04gm$

One kilogram of sugar has more volume than one kilogram of iron. True or false.

  1. True

  2. False


Correct Option: A
Explanation:

Since we know that density of iron is more than density of sugar hence 

$\rho _{iron} > \rho _{sugar}$

$\dfrac { mass\quad of\quad iron }{ volume\quad of\quad iron } >\dfrac { mass\quad of\quad sugar }{ volume\quad of\quad sugar } $

if mass of iron = mass of sugar

then,  $\dfrac { 1 }{ Volume\quad of\quad iron } >\dfrac { 1 }{ Volume\quad of\quad sugar } $

So, Volume of sugar > Volume of iron.