JEE Questions for Physics Electrostatics I Quiz 8 - MCQExams.com

Three particles, each having a charge of 10 µC are placed at the corners of an equilateral triangle of side 10 cm. The electrostatic potential energy of the system is
Physics-Electrostatics I-70827.png
  • Zero
  • Infinite
  • 27 J
  • 100 J
The electric field near a conducting surface having a uniform surface charge density σ is given by

  • Physics-Electrostatics I-70829.png
  • 2)
    Physics-Electrostatics I-70830.png

  • Physics-Electrostatics I-70831.png

  • Physics-Electrostatics I-70832.png
There is an electric field E in X-direction. If the work done on moving a charge 0.2 C through a distance of 2 m along a line making an angle 60° with the X-axis is 4.0, what is the value of E?

  • Physics-Electrostatics I-70834.png
  • 4N/C
  • 5N/C
  • None of these
Four equal charges Q are placed at the four corners of a square of each side is \'a\'. Work done in removing a charge –Q from its centre to infinity is
  • 0
  • 2)
    Physics-Electrostatics I-70836.png

  • Physics-Electrostatics I-70837.png

  • Physics-Electrostatics I-70838.png

Physics-Electrostatics I-70840.png
  • 2 : 1
  • 1 : 2
  • 1 : 4
  • 4 : 1
Angle between equipotential surface and lines of force is
  • Zero
  • 180°
  • 90°
  • 45°
Below figures (and (represent lines of force. Which is correct statement?
Physics-Electrostatics I-70842.png
  • Figure (represents magnetic lines of force
  • Figure (represents magnetic lines of force
  • Figure (represents electric lines of force
  • Both figure (and figure (represent magnetic lines of force
The unit of electric field is not equivalent to
  • N/C
  • J/C
  • V/m
  • J/C-m
A flat circular disc has a charge +Q uniformly distributed on the disc. A charge +q is thrown with kinetic energy E towards the disc along its normal axis. The charge q will
  • Hit the disc at the centre
  • Return back along its path after touching the disc
  • Return back along its path without touching the disc
  • Any of the above three situation is possible depending on the magnitude of E
The magnitude of electric field E in the annular region of a charged cylindrical capacitor
  • Is same throughout
  • Is higher near the outer cylinder than near the inner cylinder
  • Varies as 1/r, where r is the distance from the axis
  • Varies as 1/r2, where r is the distance from the axis
A metallic solid sphere is placed in a uniform electric field. The lines of force follow the path (s) shown in figure as
Physics-Electrostatics I-70844.png
  • 1
  • 2
  • 3
  • 4
The distance between a proton and electron both having a charge 1.6 × 10–19 coulomb, of a hydrogen atom is 10–10 metre. The value of intensity of electric field produced on electron due to proton will be
  • 2.304 × 10–10 N/C
  • 14.4 V/m
  • 16 V/m
  • 1.44 × 1011N/C
Two charge +q and – q are situated at a certain distance. At the point exactly midway between them
  • Electric field and potential both are zero
  • Electric field is zero but potential is not zero
  • Electric field is not zero but potential is zero
  • Neither electric field nor potential is zero
Two charged spheres of radii R1. and R2 having equal surface charge density. The ratio of their potential is
  • R1/R2
  • R2/R1
  • (R1/R2)2
  • (R2/R1)2
An α–particle of mass 6.4 × 10–27 kg and charge 3.2 × 10–19C is situated in a uniform electric field of 1.6 × 105 Vm–1. The velocity of the particle at the end of 2 × 10–2 m path when it starts from rest is

  • Physics-Electrostatics I-70848.png
  • 8 × 105 ms–1
  • 16 × 105 ms–1

  • Physics-Electrostatics I-70849.png

Physics-Electrostatics I-70851.png

  • Physics-Electrostatics I-70852.png
  • The potential energy of the system is zero

  • Physics-Electrostatics I-70853.png

  • Physics-Electrostatics I-70854.png
In Millikan\'s oil drop experiment an oil drop carrying a charge Q is held stationary by a potential difference 2400V between the plates. To keep a drop of half the radius between the plates. To keep a drop of half the radius stationary the potential difference had to be made 600V. What is the charge on the second drop?

  • Physics-Electrostatics I-70856.png
  • 2)
    Physics-Electrostatics I-70857.png
  • Q

  • Physics-Electrostatics I-70858.png
A charge of 5C experiences a force of 5000N when it is kept in a uniform electric field. What is the potential difference between two points separated by a distance of 1 cm
  • 10 V
  • 250 V
  • 1000 V
  • 2500 V
Two insulated charged conducting spheres of radii 20 cm and 15 cm respectively and having an equal charge of 10 C are connected by a copper wire and then they are separated. Then
  • Both the spheres will have the same charge of 10 C
  • Surface charge density on the 20 cm sphere will be greater than that on the 15 cm sphere
  • Surface charge density on the 15 cm sphere will be greater than that on the 20 cm sphere
  • Surface charge density on the two spheres will be equal
Equal charges q are placed at the vertices A and B of an equilateral triangle ABC of side a. The magnitude of electric field at the point C is

  • Physics-Electrostatics I-70862.png
  • 2)
    Physics-Electrostatics I-70863.png

  • Physics-Electrostatics I-70864.png

  • Physics-Electrostatics I-70865.png
Two equal charges q are placed at a distance of 2a and a third charge –2q is placed at the midpoint. The potential energy of the system is

  • Physics-Electrostatics I-70867.png
  • 2)
    Physics-Electrostatics I-70868.png

  • Physics-Electrostatics I-70869.png

  • Physics-Electrostatics I-70870.png

Physics-Electrostatics I-70872.png
  • 9J
  • 2)
    Physics-Electrostatics I-70873.png

  • Physics-Electrostatics I-70874.png

  • Physics-Electrostatics I-70875.png
The unit of intensity of electric field is
  • Newton/Coulomb
  • Joule/Coulomb
  • Volt-metre
  • Newton/metre
Equal charges are given to two spheres of different radii. The potential will
  • Be more on the smaller sphere
  • Be more on the bigger sphere
  • Be equal on both the spheres
  • Depend on the nature of the materials of the spheres
A charge of 5C is given a displacement of 0.5 m. The work done in the process is 10J. The potential difference between the two points will be
  • 2V
  • 0.25V
  • 1V
  • 25V
The electric potential V is given as a function of distance x (metre) by V = (5x2 + 10x –volt. Value of electric field at x =1 is
  • –20 V/m
  • 6 V/m
  • 11 V/m
  • –23 V/m
Two metal pieces having a potential difference of 800V are 0.02 m apart horizontally. A particle of mass 1.96 × 10–15 kg is suspended in equilibrium between the plates. If e is the elementary charge, then charge on the particle is
  • e
  • 3e
  • 6e
  • 8e
The figure shows some of the electric field lines corresponding to an electric fields. The figure suggests
Physics-Electrostatics I-70881.png
  • EA > EB > EC
  • EA = EB = EC
  • EA = EC > EB
  • EA = EC < EB
A hollow insulated conducting sphere is given a positive charge of 10µC. What will be the electric field at the centre of the sphere if its radius is 2 metres?
  • Zero
  • 5µ Cm–2
  • 20 µ Cm–2
  • 8 µ Cm–2
An electron of mass me initially at rest moves through a certain distance in a uniform electric field in time t1. A proton of mass mp also initially at rest takes time t2 to move through an equal distance in this uniform electric field. Neglecting the effect of gravity, the ratio of t2 / t1 is nearly equal to
  • 1
  • (mp / me)1/2
  • (me / mp)1/2
  • 1836
A charged water drop whose radius is 0.1 µm is in equilibrium in an electric field. If charge on it is equal to charge of an electron, then intensity of electric field will be (g = 10m–1)
  • 1.61 N/C
  • 26.2N/C
  • 262 N/C
  • 1610 N/C
Four charges are placed on corners of a square as shown in figure having side of 5 cm If Q is one micro coulomb, then electric field intensity at centre will be
Physics-Electrostatics I-70884.png
  • 1.02 × 107 N/C upwards
  • 2.04 × 107 N/C downwards
  • 2.04 × 107 N/C upwards
  • 1.02 × 107 N/C downwards
A sphere of radius 1 cm has potential of 8000 V, then energy density near its surface will be
  • 64 × 105 J/m3
  • 8 × 103 J/m3
  • 32 J/m3
  • 2.83 J/m3
Point charges +4q, –q and +4q are kept on the x-axis at points x = 0, x = a and x= 2a respectivley, then
  • Only q is in stable equilibrium
  • None of the charges are in equilibrium
  • All the charges are in unstable equilibrium
  • All the charges are in stable equilibrium
Two point charges of 20µC and 80µC are 10 cm apart. Where will the electric field strength be zero on the line joining the charges form 20µC charge?
  • 0.1 m
  • 0.04 m
  • 0.033 m
  • 0.33 m
Consider a thin spherical shell of radius R consisting of uniform surface charge density σ. The electric field at a point of distance x from its centre and outside the shell is
  • Inversely proportional to σ
  • Directly proportional to x2
  • Directly proportional to R
  • Inversely proportional to x2
Two unlike charges of magnitude q are separated by a distance 2d. The potential at a point midway between them is
  • Zero
  • 2)
    Physics-Electrostatics I-70889.png

  • Physics-Electrostatics I-70890.png

  • Physics-Electrostatics I-70891.png
What is the potential energy of the equal positive point charges of 1 µC each held lm apart in air?
  • 9 × 10–3 J
  • 9 × 10–3 eV
  • 2 eV/m
  • Zero
An oil drop having charge 2e is kept stationary between two parallel horizontal plates 2.0 cm apart when a potential difference of 12000 volts is applied between them. If the density of oil is 900 kg/m3 , the radius of drop will be
  • 2.0 × 10–6 m
  • 1.7 × 10–6 m
  • 1.4 × 10–6 m
  • 1.1 × 10–6 m
The ratio of moment of an electron and an α–particle which are accelerated from rest by a potential difference of 100 volt is
  • 1
  • 2)
    Physics-Electrostatics I-70895.png

  • Physics-Electrostatics I-70896.png

  • Physics-Electrostatics I-70897.png
The work done in bringing a unit positive charge from infinite distance to a point at distance x from a positive charge Q is W. Then, the potential ɸ at that point is

  • Physics-Electrostatics I-70899.png
  • W

  • Physics-Electrostatics I-70900.png
  • WQ
When a proton is accelerated through 1V then its kinetic energy will be
  • 1840 eV
  • 13.6 eV
  • 1 eV
  • 0.54 eV
An electron enters between two horizontal plates separated by 2 mm and having a potential difference of 1000 V. The force on electron is
  • 8 × 10–12 N
  • 8 × 10–14 N
  • 8 × 109 N
  • 8 × 1014 N
Two metal spheres of radii R1 and R2 are charged to the same potential. The ratio of charges on the spheres is

  • Physics-Electrostatics I-70904.png
  • 2)
    Physics-Electrostatics I-70905.png

  • Physics-Electrostatics I-70906.png

  • Physics-Electrostatics I-70907.png
Electric charges of +10µC, +5µC, –3µC and +8µC are placed at the corners of a square of side √2m. The potential at the centre of the square is
  • 1.8 V
  • 1.8 × 106 V
  • 1.8 × 105 V
  • 1.8 × 104 V
In the following diagram the work done in moving a point charge from point P to point A, B and C is respectively as WA, WB and WC, then
Physics-Electrostatics I-70910.png
  • WA = WB = WC
  • WA = WB = WC = 0
  • WA > WB > WC
  • WA < WB < WC
Ten electrons are equally spaced and fixed around a circle of radius R. Relative to V = 0 at infinity, the electrostatic potential V and the electric field E at the centre C are

  • Physics-Electrostatics I-70912.png
  • 2)
    Physics-Electrostatics I-70913.png

  • Physics-Electrostatics I-70914.png

  • Physics-Electrostatics I-70915.png
Two positive point charges of 12µC and 8µC are 10 cm apart. The work done in bringing them 4 cm closer is
  • 5.8 J
  • 5.8 eV
  • 13 J
  • 13 eV
Three identical point charges, as shown are placed at the vertices of an isosceles right angled triangle. Which of the numbered vectors coincides in direction with the electric field at the mid-point M of the hypotenuse
Physics-Electrostatics I-70918.png
  • 1
  • 2
  • 3
  • 4

Physics-Electrostatics I-70920.png

  • Physics-Electrostatics I-70921.png
  • 2)
    Physics-Electrostatics I-70922.png

  • Physics-Electrostatics I-70923.png

  • Physics-Electrostatics I-70924.png
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