Tag: properties of substances

Questions Related to properties of substances

Pick up the correct statement:

  1. Cubic crystals exhibit isotropic nature with respect to therma expansion

  2. Anisotropic solids expand in one direction and contract in perpendicular direction

  3. Many of the crystals are anisotropic solids

  4. Rock salt crystal exhibits isotropic nature with respect to thermal expansion


Correct Option: C

The nearest approach to a perfect plastic body is

  1. diamond

  2. quartz fiber

  3. putty

  4. none of these


Correct Option: B

The materials, which do not show a fixed trend of deformation vs. applied force, are called:

  1. inelastic materials

  2. plastic materials

  3. elastic materials

  4. rigid materials


Correct Option: A
Explanation:

Elastic materials are those that follow the Hooke's law, which is that the deformation produced in a material is directly proportional to the stress applied to it, and the material is recoverable after the deformation force is removed.

Inelastic materials are those that do not follow this relationship. They do not show a fixed trend of deformation vs applied force; in fact, they might not deform at all (rigid materials) or the deformation observed is not completely recoverable.

The density of a cuboid of mass 200 g with dimensions 2 cm $\times$ 4 cm $\times$ 5 cm is

  1. 1000 kg m$^{-3}$

  2. 3000 kg m$^{-3}$

  3. 5000 kg m$^{-3}$

  4. 2000 kg m$^{-3}$


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

$\displaystyle d = \frac{0.2 kg}{40  cm^3} = \frac{0.2 \times 10^6}{40} kg  m^{-3}$

$=5000  kg  m^{-3}$

A wire of length 50 cm has a mass of 20 gm. It its radius is halved by stretching, its new mass per unit length will be

  1. 0.4 g cm$^{-1}$

  2. 0.2 kg m$^{-1}$

  3. 0.1 g cm$^{-1}$

  4. 0.2 g cm$^{-1}$


Correct Option: C
Explanation:

On stretching, volume remains constant. Hence on decreasing the radius by half, the length of the wire becomes quadrupled. 
Mass per unit length $\displaystyle = \frac{20}{4 \times 50 cm}$
$=0.1  g  cm^{-1}$

Density of water is :

  1. 1 g cm$^{-3}$

  2. 100 kg m$^{-3}$

  3. 1000 kg m$^{-3}$

  4. None


Correct Option: A,C
Explanation:

 Density of water = 1 g $ cm^{-3 }$ = 1000 kg $ m^{-3}$

so option (A) and option (C) are correct

If 5 litres of kerosene has a mass of 5 kg, then what is the density of kerosene?

  1. 500 kg/$m^3$

  2. 1000 kg/$m^3$

  3. 100 kg/$m^3$

  4. 50 kg/$m^3$


Correct Option: B
Explanation:

Density of kerosene $= \displaystyle \frac{mass}{volume}$
$\displaystyle = \frac{5  kg}{5  litres}= \frac{5kg}{5 \times 10^{-3}m^3} = 1000 kg  m^{-3}$

Two spheres are having the ratio of their densities 1:3 and masses in 3:4 respectively. Find the ratio of their volumes. i.e $\dfrac{V _1}{V _2}$

  1. 1:3

  2. 3:1

  3. 4:9

  4. 9:4


Correct Option: D
Explanation:

$\displaystyle \frac{d _1}{d _2} = \frac{1}{3} ; \frac{m _1}{m _2} = \frac{3}{4}$
$d = m/v$
$\therefore \displaystyle \frac{V _1}{V _2}  = \frac{m _1}{m _2} \times \frac{d _2}{d _1} = \frac{3}{4} \times \frac{3}{1} = 9:4$

Density of air at room temperature is

  1. $120 \ {g\ cm}^{-3}$

  2. $120 \ {g\ mm}^{-3}$

  3. $12 \ {g\ m}^{-3}$

  4. $1.3 \ {kg\ m}^{-3}$


Correct Option: D
Explanation:

The density of air at NTP is $1.293 kg m^{-3}$.

So after rounding, it is $1.3 kg m^{-3}$.

If the mass of a body is 12.1 g and its 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:

Given:

mass $(m)=12.1g$
density $(d)=2.2g/cc$
Let the volume be $v$
As $density=\dfrac{mass}{volume}$
$d=\dfrac{m}{v}$
$v=\dfrac{m}{d}$
$v=\dfrac{12.1}{2.2}=5.5cc$