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All questions of Electrostatics for Airforce X Y / Indian Navy SSR Exam

Six charges are placed at the corner of a regular hexagon as shown. If an electron is placed at its centre O, force on it will be
  • a)
    Zero
  • b)
    Along OF
  • c)
    Along OC
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Dr Manju Sen answered
The charges will be balanced by their counterparts on the opposite side. So, eventually the charges remaining will be 2q and b and 3q on D.
Since the charge distribution is asymmetrical, the net force on charge would be skewed towards D.
 

Three capacitors, each of capacitance C = 3 mF, are connected as shown in the figure. The equivalent capacitance between points P and S is
  • a)
    9 μF
  • b)
    6 μF
  • c)
    3 μF
  • d)
    1 μF
Correct answer is option 'A'. Can you explain this answer?

Dr Manju Sen answered
If P is at positive potential, then Q is at negative potential and R is at positive potential. The system therefore reduces to 3 capacitors in parallel. C= 9μF

The total negative charge in 1 mol of helium (atomic number 2, atomic mass 4) is:
  • a)
    9.6 x 10C
  • b)
    1.9 x 105 C
  • c)
    3.8 x 105 C
  • d)
    4.8 x 104 C
Correct answer is option 'B'. Can you explain this answer?

Krishna Iyer answered
  • He atom has 2 electrons.
  • So, 1 mole of He has 2*N(N is Avogadro's no.) electrons.
  • Then total -ve charge in 1 mole He gas is =  2 * N * charge of 1 electron
    = 2 * (6.022 * 1023) * (1.6 * 10-19) = 1.92 * 105

Electric flux is a _______ quantity
  • a)
    vector
  • b)
    always negative
  • c)
    Scalar
  • d)
    always positive
Correct answer is option 'C'. Can you explain this answer?

Rajeev Saxena answered
For transport phenomena, flux is a vector quantity, describing the magnitude and direction of the flow of a substance or property. In electromagnetism, flux is a scalar quantity, defined as the surface integral of the component of a vector field perpendicular to the surface at each point.

What should be the radius of an isolated spherical conductor so that it has a capacity of 2μF?​
  • a)
    1.8X105 m
  • b)
    1.8X104 m
  • c)
    2.5X104 m
  • d)
    2.5X105 m
Correct answer is option 'B'. Can you explain this answer?

Gunjan Lakhani answered
Capacitance of an isolated spherical conductor =4π€R , where €=permittivity of vacuum
C=2×10-6F
C=4π€R
4×3.14×8.85×10-12×R=2×10-6
R=2×10-6/4×3.14×8.85×10-12
=1.8×104 m

Can you explain the answer of this question below:

Charging a metal sphere by contact using a positively charged rod, followed by grounding can result in ________ charge in a metal sphere.

  • A:

    positive

  • B:

    Zero

  • C:

    positive or negative depending on which end is grounded

  • D:

    negative

The answer is b.

Neha Sharma answered
The charge on the rod is shared between the rod and the sphere when they are in contact with each other. However, on grounding the charge will flow to the earth and the charge on the sphere becomes zero

Can you explain the answer of this question below:
A charge q is placed at the centre of the open end of cylindrical vessel whose height is equal to its radius. The electric flux of electric field of charge q through the surface of the vessel is
  • A:
    0
  • B:
  • C:
  • D:
The answer is b.

Lavanya Menon answered
Given that, A charge q is placed at the centre of open end Q a cylindrical vessel,we have to find the flux through the surface of the vessel.
so, when charge Q is placed at the centre of open end of a cylindrical vessel then only half of the charge will contribute to the flux, because half will lie inside the surface and half will lie outside the surface.
so, flux through the surface of vessel is q/2ε0

A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface centred at the origin with r = R
  • a)
    Rλ/ε0
  • b)
    2Rλ/ε0
  • c)
    λ/ε0
  • d)
    none of the above
Correct answer is option 'B'. Can you explain this answer?

Nandini Patel answered
The total charge on the body If there are n1 electrons and n2 protons will be |n1-n2|.
Because whichever of the two will be lower in number, will be neautralized by the other and the left electrons/ protons will be the reason for the charge on the body.

If the electric field is given by; calculate the electric flux through as surface of area 10 units lying in y-z plane.​
  • a)
    50 units
  • b)
    40 units
  • c)
    60 units
  • d)
    30 units
Correct answer is option 'C'. Can you explain this answer?

EduRev JEE answered
As surface of area lies in the Y-Z plane, thus its area vector points in X direction i.e.   A=10i
Electric flux    ϕ=E.A
∴   ϕ=(6i+3j​+4k).(10i)
⟹   ϕ=6×10=60 unit

The force between two small charged spheres having charges 3 x 10-6C and 4 x 10-6C placed 40 cm apart in air is​
  • a)
    67.5 x 10-3 N
  • b)
    67.5 x 10-2 N
  • c)
    6.75 x 10-1 N
  • d)
    none
Correct answer is option 'C'. Can you explain this answer?

**Explanation:**

When two charges are placed in close proximity to each other, they exert a force on each other. This force is known as the electrostatic force. The electrostatic force between two charges is governed by Coulomb's Law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

In this case, we have a positive charge of 1C and a negative charge of -4C. According to Coulomb's Law, the force between these two charges will be attractive because one charge is positive and the other is negative. The force will act along the line connecting the two charges, from the positive charge to the negative charge.

To determine the direction of the force, we can use a simple mnemonic: "like charges repel, opposite charges attract." Since the charges in this scenario are opposite (positive and negative), they will attract each other. Therefore, the force will act from the positive charge (1C) towards the negative charge (-4C).

Hence, the correct answer is option C: "From 1C to -4C."

A negative point charge placed at the point A is
                   
  • a)
     In stable equilibrium along x-axis
  • b)
    In unstable equilibrium along y-axis
  • c)
    in stable equilibrium along y-axis
  • d)
    in unstable equilibrium along x-axis
Correct answer is option 'C,D'. Can you explain this answer?

EduRev Support answered
If the potential energy of the system is minimum, it will be stable equilibrium, i.e , d2U/dx2​>0 and when potential energy is maximum then it will be unstable equilibrium, i.e, d2U/dx2<0. 
As along y direction no electric field, potential energy is minimum and it will be stable equilibrium along y-axis.
Along x-axis potential energy is maximum due to all charges situated along x-axis.so it will be unstable equilibrium.
 

The amount of work done in moving a charge from one point to another along an equipotential line or surface charge is
  • a)
    Zero
  • b)
    Infinity
  • c)
    One
  • d)
    Two
Correct answer is option 'A'. Can you explain this answer?

Om Desai answered
Since Potential difference between two points in equipotential surfaces is zero, the work done between two points in equipotential surface is also zero.

Which of the following is a non polar dielectric?
  • a)
    Water
  • b)
    Alcohol
  • c)
    HCl
  • d)
    Benzene
Correct answer is option 'D'. Can you explain this answer?

Riya Banerjee answered
Alcohol and HCl are polar molecules since they have a net dipole moment towards a particular direction. Both water and benzene are non-polar molecules. But water is a conductor of electricity, whereas benzene is a dielectric (insulator).

1 microfarad is equal to​
  • a)
    10-6F
  • b)
    10-12F
  • c)
    10-15F
  • d)
    10-9F
Correct answer is option 'A'. Can you explain this answer?

Lavanya Menon answered
The microfarad (symbolized µF) is a unit of capacitance, equivalent to 0.000001 (10 to the -6th power) farad. 

Work done in carrying 2C charge in a circular path of radius 2m around a charge of 10C is​
  • a)
    6.67J
  • b)
    60J
  • c)
    Zero
  • d)
    15J
Correct answer is option 'C'. Can you explain this answer?

Suresh Iyer answered
The overall work performed in carrying a 2coulomb charge in a circular orbit of radius 3 m around a charge of 10 coulomb is calculated below.
It is a well-known fact that W=qdv.
Here dV is the change in overall potential. In the circular orbit of r potential at each point is similar.
Most significantly, the value of r is 3.  
The value of dv=0 and hence W=q0=0.

A particle of mass m and charge Q is placed in an electric field E which varies with time t ass E = E0 sinwt. It will undergo simple harmonic motion of amplitude
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?

Preeti Iyer answered
Due to verifying electric field, it experiences an verifying force :-
F=QE=QE0​sinωt
at maximum amplitude A, it experience a maximum force of:-
Fmax​=QE0​
also, Restoring force in SHM is given by: - F=mω2x
for amplitude, x=A OR,
2A=QE0​
⇒A= QE0/mω2

Electric flux density is a function of _______.
  • a)
    Volume
  • b)
    Charge
  • c)
    Current
  • d)
    Voltage
Correct answer is option 'B'. Can you explain this answer?

Aarya Khanna answered
Electric flux density is a measure of the electric flux passing through a given area. It is defined as the amount of electric flux passing through a unit area perpendicular to the electric field. The SI unit of electric flux density is coulombs per square meter (C/m²).

Factors affecting electric flux density:

Charge:
Electric flux density is directly proportional to the amount of charge present in a given area. The higher the charge density, the higher the electric flux density.

Area:
Electric flux density is inversely proportional to the area of the surface through which the flux passes. The smaller the area, the higher the electric flux density.

Distance:
Electric flux density is inversely proportional to the distance of the charge from the surface through which the flux passes. The closer the charge, the higher the electric flux density.

Dielectric constant:
Electric flux density is affected by the dielectric constant of the material through which the flux passes. The higher the dielectric constant, the higher the electric flux density.

Conclusion:
From the above explanation, it is clear that electric flux density is a function of charge.

Which of the following molecule has permanent dipole moment?​
  • a)
    HCl
  • b)
    CO2
  • c)
    CH4
  • d)
    BF3
Correct answer is option 'A'. Can you explain this answer?

Manoj Chauhan answered
Explanation:
A permanent dipole moment is created when there is an electronegativity difference between two non-identical atoms, resulting in an uneven distribution of charge. The molecule acquires a positive and negative end, creating a dipole moment.

HCl molecule has a permanent dipole moment because of the difference in electronegativity between H and Cl atoms. Chlorine has a higher electronegativity than hydrogen. Therefore, the electrons in the covalent bond are drawn closer to the chlorine atom, resulting in a partial negative charge on the chlorine atom and a partial positive charge on the hydrogen atom. Thus, HCl has a dipole moment.

On the other hand, CO2, CH4, and BF3 do not have a permanent dipole moment because they are symmetrical molecules where the electronegativity of the atoms is the same. In CO2, the electronegativity of the carbon and oxygen atoms is the same, so the molecule has no dipole moment. In CH4, the four hydrogen atoms are arranged symmetrically around the carbon atom, resulting in no net dipole moment. Similarly, in BF3, the three fluorine atoms are arranged symmetrically around the boron atom, resulting in no net dipole moment.

Therefore, the correct option is A, HCl, which has a permanent dipole moment due to the difference in electronegativity between H and Cl atoms.

Two charges 4q and q are placed 30 cm. apart. At what point the value of electric field will be zero
  • a)
    10 cm. away from q and between the charge
  • b)
    10 cm. away from 4q and out side the line joining them.
  • c)
    20 cm. away from 4q and between the charge
  • d)
    none
Correct answer is option 'C'. Can you explain this answer?

Hansa Sharma answered
Where E=0 this point is called neutral point.
it is the point where electric field of both charge is same
we know tha t E=kQ/r^2
here k=1/4pi€
for 4q charge
let at ''a'' distance we get E=0 which is from q charge
so distance from 4q of 'a' point is 30-a
electric field by 4q charge on a is
E=k4q/(30-a)^2
electric field by q charge on a point
E=kq/a^2
both electric field are equal so put them equal
k4q/(30-a)^2=kq/a^2
solve this we get
4a^2=(30-a)^2
2a=30-a
3a=30
a=10
so at a distance 10cm from charge q we get E=0
distance from 4q charge 30-10=20cm.
 

If 100 J of work has to be done in moving an electric charge of 4C from a place where potential is -5 V to another place, where potential is V volt. The value of V is
  • a)
    15 V
  • b)
    20 V
  • c)
    25 V
  • d)
    10 V
Correct answer is option 'B'. Can you explain this answer?

Suresh Iyer answered
From the definition, the work done to a test charge ‘q0’ from one place to another place in an electric field is given by the formula
W=q0x[vfinal-vinitial ]
100=4x[v-(-5)]
v+5=25
v=20V
 

A hollow metal sphere of radius 5cm is charged so that the potential on its surface is 10V. The potential at a distance of 2cm from the centre of the sphere is
  • a)
    4V
  • b)
    zero
  • c)
    10/3V
  • d)
    10V
Correct answer is option 'D'. Can you explain this answer?

Ayush Joshi answered
In the case of a hollow metal sphere (spherical shell), the electric field inside the shell is zero. This means that the potential inside the shell is constant. Therefore the potential at the centre of the sphere is the same as that on its surface, i.e. 10 V. 

Can you explain the answer of this question below:

At what point is the electric field intensity due to a uniformly charged spherical shell is maximum?

  • A:

    at the surface of spherical shell

  • B:

    outside the spherical shell

  • C:

    inside the spherical shell

  • D:

    at the centre of spherical shell

The answer is a.

This is because of when a charge given to a hollow sphere that is spherical shell then all charges will reside on its surface and as we know that electric field is directly proportional to given charge . so according to this concept we can say about this point.

Can you explain the answer of this question below:

The electric field intensity due to a sphere (solid or hollow) at an external point varies as-​

  • A:

    1/r

  • B:

    does not depend upon r

  • C:

    1/r3

  • D:

    1/r2

The answer is d.

Agnal Jose answered
It followw inverse square law as distance of observational point from source charge increases the electric field intensity decreases hence option d is correct

Two capacitors of 20 μƒ and 30 μƒ are connected in series to a battery of 40V. Calculate charge on each capacitor.​
  • a)
    480 C
  • b)
    478 C
  • c)
    450 C
  • d)
    500 C
Correct answer is option 'A'. Can you explain this answer?

Nikita Singh answered
C1= 20×10µf
and C2= 30×10µf
in series Ceq = C1C2/(C1+C2)
Ceq = 20×10^(-6)×30×10^(-6)/20×10^(-6)+30^×10(-6)
Ceq= 12×10^(-6)f
As we know that Q = CV
Putting the values of C and V= 40V, we get
Q = (12 * 10^-6) * 40
= 480µC

A neutral point lies at the centre of the line joining the charges when
  • a)
    Two charges are unequal and opposite
  • b)
    Two charges are equal and of same sign
  • c)
    Two charges are unequal and of same sign
  • d)
    Two charges are equal and of opposite sign
Correct answer is option 'B'. Can you explain this answer?

Shreya Gupta answered
Neutral point due to a system of two like point charges For this case neutral point is obtained at an internal point along the line joining two like charges.Here neutral point lies outside the line joining two unlike charges and also it lies nearer to the charge which is smaller in magnitude.

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