Tag: properties of charges

Questions Related to properties of charges

What is the minimum possible amount of charge?

  1. Electronic charge $e$

  2. Electronic charge $2e$

  3. Electronic charge $\dfrac{e}{2}$

  4. Electronic charge $\dfrac{e}{\sqrt{2}}$


Correct Option: A
Explanation:

The minimum possible charge is equal to the charge of the electron.That is, $e=1.6\times { 10 }^{ -19 }C$.
The electron is a subatomic particle, symbol e, with a negative elementary electric charge. Electrons belong to the first generation of the lepton particle family, and are generally thought to be elementary particles because they have no known components or substructure.

The charge on a body is +1 C. Find the number of electrons in excess or deficit on the body.

  1. 6.25 $\times 10^{1}$ coulomb

  2. 6.25 $\times 10^{-18}$ coulomb

  3. 6.25 $\times 10^{-1}$ coulomb

  4. 6.25 $\times 10^{18}$ coulomb


Correct Option: D
Explanation:

The SI unit of electric charge is Coulomb, One coulomb is equal to about $6.242\times { 10 }^{ 18 }e$. 
One coulomb is defined as the quantity of charge which will pass through the cross section of an electrical conductor while one ampere current is flowing through the conductor in one second. Electric charge is denoted by Q.

The charge on an electron is:

  1. 1 C

  2. +1.6 $\times 10^{-19}$C

  3. -1.6 $\times 10^{-19}$ C

  4. 6.25 $\times 10^{18}$C


Correct Option: C
Explanation:

Answer is C.

Electron charge, fundamental physical constant expressing the naturally occurring unit of electric charge, equal to 1.6021765 1019 coulomb. In addition to the electron, all freely existing charged subatomic particles thus far discovered have an electric charge equal to this value or some whole-number multiple of it.
Hence, the charge of the electron is $-1.6\times { 10 }^{ -19 }C$. The negative sign is due to the negative charge of electrons.

A steady curent ‘i’ is flowing through a conductor of uniform cross-section. Any segment of the conductor has

  1. zero charge

  2. only positive charge

  3. only negative charge

  4. charge proportional to current


Correct Option: A
Explanation:

Any segment of conductor is electrically neutral.
There are fixed positive ions already present that will neutralize the negative charge of the electrons.
No segment serves as the source/sink of charge

Electric charge is due to the loss or gain of .............

  1. protons

  2. neutrons

  3. electrons

  4. none of these


Correct Option: C
Explanation:

Electric charge is due to the loss or gain of electrons.
An atom or group of atoms that have a positive or negative electric charge due to a gain (negative charge) or loss (positive charge) of one or more electrons. Atoms with a positive charge are known as cations; those with a negative charge are anions.

$\displaystyle \frac {4}{25}$ Coulomb of charge contains .................. electrons: 

  1. $10^{15}$

  2. $10^{18}$

  3. $10^{20}$

  4. None of these


Correct Option: B
Explanation:

Answer is C.

The formula for quantisation of charge is given as q=ne.
where, q is the amount of charge in Coulumbs, n is the number of charges and e is the charge on the electron.
In this case, q=4/25 C
So, e = $1.6\times { 10 }^{ -19 }C$.
n can be calculated as n=q/e = $\frac { 4 }{ 25 } \times [\frac { 1 }{ 1.6\times { 10 }^{ -19 }C } ]\quad =\quad { 10 }^{ 18 }$ which is the number of electrons.
Hence, 4/25 
Coulomb of charge contains ${ 10 }^{ 18 }$ electrons:.

Two metallic spheres, one hollow and the other solid, have same diameter. The hollow sphere will hold charge

  1. Same as the solid sphere

  2. 2 times as the solid sphere

  3. $\displaystyle\frac{1}{2}$ times as the solid sphere

  4. Zero


Correct Option: A
Explanation:

The capacity of the metallic sphere is proportional to the radius. It does not matter whether it is solid or hollow. Therefore the hollow sphere will hold same charge as the solid sphere.

Quantisation of charge implies

  1. charge does not exiet

  2. charge exists on particles

  3. there is a minimum permissible magnitude of charge

  4. charge can't be created


Correct Option: C
Explanation:

The word quantised means any quantity is an integral multiple of a minimum value and cannot have any value equal to decimal multiples.

The minimum charge that exists in nature is $1.6\times10^{-19}$ coulombs.
It is the positive value for one proton and negative for an electron.
Any charged body has a positive charge if electrons are less than needed and vice-versa.
Whatever may be the case, the magnitude of charge is always an integral multiple of $1.6\times10^{-19}$ coulombs.
Thus charge is quantised.

Charge on a body can be :

  1. $\displaystyle -1.3e$

  2. $\displaystyle 0.9e$

  3. $\displaystyle \pm 3e$

  4. $\displaystyle 1.5e$


Correct Option: C
Explanation:

Charge on a body is always $\displaystyle \pm e$, $\displaystyle \pm 2e$, $\displaystyle \pm 3e$. It can't be in fraction of e i.e 1.5e, 0.9e or -1.2e. The electronic charge is the minimum possible charge.

Charge on an electron is :

  1. $\displaystyle +e$

  2. $\displaystyle -e$

  3. $\displaystyle \pm e$

  4. All


Correct Option: B
Explanation:

Charge on an electron is -e. SInce, an atom can lose or gain an integer number of electron, so charge on an will be an integer multiple of e.