Tag: fundamental and derived units

Questions Related to fundamental and derived units

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

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. $1.04$

  2. $2.08$

  3. $3.12$

  4. $4.16$

Show answer
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.

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. True

  2. False

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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.

Weight per unit volume of a substance is called its density. State whether true or false.

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. True

  2. False

Show answer
Correct Option: B
Explanation:

Density = $\dfrac{mass}{volume}$  so $\rho$ = $\dfrac{m}{v}$  not $\dfrac{mg}{v}$ as weight = mg


so given statement is false 


hence option (B) is correct

The SI unit of density is __________.

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. $ \displaystyle kg/m^{3} $

  2. $ \displaystyle kg/m^{2} $

  3. $ \displaystyle kg^{3} $

  4. $ \displaystyle m^{3} $

Show answer
Correct Option: A
Explanation:

Density of substance is mass per unit volume hence its unit are $kg/{ m }^{ 3 }$ in S/units & $gm/{ cm }^{ 3 }$ in CGS.

Mass per unit volume of a substance is called its density. True or false.

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

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

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

State whether true or false.
Equal masses of iron and common salt have different volume.

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

Since density of a substance is characterstic property of a material hence for different substance of equal mass they will have different volumes.

Which of the following statements are true for density?

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. It is a physical property of matter

  2. It is a scalar quantity

  3. It is the mass per unit volume of a substance

  4. All of the above

Show answer
Correct Option: D
Explanation:

Density is a physical property of a substance and is defined as the mass per unit volume of a substance. The density of a body is the amount of mass contained per unit volume of the body.

Since it does not have any direction it is a scalar quantity.

Multiplying relative density by 100 we get density of liquid in   $ \displaystyle kg/m^{3} $

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. True

  2. False

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Correct Option: B
Explanation:

Relative density of a substance is ratio of density of substance to that of water. Hence density of substance can be found by multiplying relative density with 1000$kg/{ m }^{ 3 }$ (density of water).

State whether true or false.
The density of a substance is defined as the mass per unit volume of that substance.

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

The density of a substance is defined as the mass per unit volume of that substance.

Give reasons as to why equal masses of different substances have different volumes.

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. because they have different shapes

  2. because they have different densities

  3. because they have the same densities

  4. none of these

Show answer
Correct Option: B
Explanation:

The mass of the substance is dependent on the density and volume of the substance. The substance having the same volume might have different mass because they have different densities.


Option $B$ is correct.