Tag: properties of substances

Questions Related to properties of substances

The hot air balloon rises because it is

  1. denser

  2. less dense

  3. equally dense

  4. the given statement is wrong


Correct Option: B
Explanation:

The hot air balloon has the hot air filled in it and the density of air is more than the hot air. So, the normal air or atmospheric air has the tendency to remain below than the hot air as the objects having the more density remains below than the objects having less density.

Brine has a density of $1.2  {g}/{cc}$. $40  cc$ of it are mixed with $30  cc$ of water. The density of solution is

  1. $2.11 {g}/{cc}$

  2. $1.11 {g}/{cc}$

  3. $12.2 {g}/{cc}$

  4. $20.4 {g}/{cc}$


Correct Option: B
Explanation:
given,  ${ \rho } _{ a }=1.2\quad 9/cc\quad \quad \quad { V } _{ a }=40cc$
                 ${ \rho } _{ b }=1g/cc\quad \quad \quad { V } _{ b }=30cc$

$ \rho _{mixture} = \dfrac { { \rho } _{ a }{ V } _{ a }+{ \rho } _{ b }{ V } _{ b } }{ { V } _{ a }+{ V } _{ b } } $

So  $ \rho _{mixture} = \dfrac { 1.2\times 40+1\times 30 }{ 40+30 } =\dfrac { 78 }{ 70 } $

        $\boxed { \rho _{mixture}=1.11\quad g/cc } $

With the increase in temperature, the density of a substance, in general, ____________.

  1. increases

  2. decreases

  3. first increase then decreases

  4. first decrease then increases


Correct Option: B
Explanation:

Due to increase in temperature, objects vibrational energy increases resulting in decrease in density of the substance.

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.