JEE Questions for Physics Electrostatics I Quiz 9 - MCQExams.com

If an electron moves from rest from a point at which potential is 50 volt to another point at which potential is 70 volt, then its kinetic energy in the final state will be
  • 3.2 × 10–10 J
  • 3.2 × 10–18 J
  • 1 N
  • 1 dyne
As shown in the figure, charges +q and –q are placed at the vertices B and C of an isosceles triangle. The potential at the vertex A is
Physics-Electrostatics I-70927.png

  • Physics-Electrostatics I-70928.png
  • zero

  • Physics-Electrostatics I-70929.png

  • Physics-Electrostatics I-70930.png
A charged particle of mass 5 × 10–5 kg is held stationary in space by placing it in an electric field of strength 107NC–1 directed vertically downwards. The charge on the particle is
  • –20 × 10–5µC
  • –5 × 10–5µC
  • 5 × 10–5µC
  • 20 × 10–5µC
Three charges Q, + q and +q are placed at the vertices of a right-angled isosceles triangle as shown. The net electrostatic energy of the configuration is zero if Q is equal to
Physics-Electrostatics I-70933.png

  • Physics-Electrostatics I-70934.png
  • 2)
    Physics-Electrostatics I-70935.png

  • Physics-Electrostatics I-70936.png

  • Physics-Electrostatics I-70937.png
Figures below show regular hexagons, with charges at the vertices. In which of the following cases the electric field at the centre is not zero
Physics-Electrostatics I-70939.png
  • 1
  • 2
  • 3
  • 4
An electron is moving towards x-axis. An electric field is along y-direction then path of electron is
  • Circular
  • Elliptical
  • Parabola
  • None of these
At a point 20 cm from the centre of a uniformly charged dielectric sphere of radius 20 cm, the electric field is 100 V/m. The electric field at 3 cm from the centre of the sphere will be
  • 150 V/m
  • 125 V/m
  • 120 V/m
  • Zero
The dimension of (1/2)ɛ0E2(ɛ0 : permittivity of free space; E: electric field) is
  • ML–1T–2
  • MLT–1
  • ML2T–2
  • ML2T–1
In the rectangle, shown below, the two corners have charges q1 = –5 µC and q2 = +2.0 µC. The work done in moving a charge + 3.0 µC from B to A is (take 1/4 πɛ0 =1010 N-m2 / C2)
Physics-Electrostatics I-70943.png
  • 2.8 J
  • 3.5 J
  • 4.5 J
  • 5.5 J
A cube of a metal is given a positive charge Q. For the above system, which of the following statements is true?
  • Electric potential at the surface of the cube is zero
  • Electric potential within the cube is zero
  • Electric field is normal to the surface of the cube
  • Electric field varies within the cube
A spherical conductor of radius 2 m is charged to a potential of 120 V. It is now placed inside another hollow spherical conductor of radius 6 m. Calculate the potential to which the bigger sphere would be raised.
  • 20 V
  • 60 V
  • 80 V
  • 40 V
A particle of mass \'m\' and charge \'q\' is accelerated through a potential difference of V volt. its energy will be
  • qV
  • mqV

  • Physics-Electrostatics I-70950.png

  • Physics-Electrostatics I-70951.png
4 point charges each +q is placed on the circumference of a circle of diameter 2d in such a way that they form a square. The potential at the centre is
  • 0
  • 2)
    Physics-Electrostatics I-70953.png

  • Physics-Electrostatics I-70954.png

  • Physics-Electrostatics I-70955.png
Consider two point charges of equal magnitude and opposite sign separated by a certain distance. The neutral point between them
  • Does not exist
  • Will be in mid-way between them
  • Lies on the perpendicular bisector of the line joining the two
  • Will be closer to the negative charge
A ball of mass 1 g and charge 10–8 C moves from a point A. Where potential is 600 volt to the point B where potential is zero. Velocity of the ball at the point B is 20 cm/s. The velocity of the ball at the point A will be
  • 22.8 cm/s
  • 228 cm/s
  • 16.8 cm/s
  • 168 cm/s
Three charges Q, + q and +q are placed at the vertices of an equilateral triangle of side 1 as shown in the figure. If the net electrostatic energy of the system is zero, then Q is equal to
Physics-Electrostatics I-70958.png

  • Physics-Electrostatics I-70959.png
  • 2)
    Physics-Electrostatics I-70960.png

  • Physics-Electrostatics I-70961.png
  • Zero
A positively charged particle moving along x- axis with a certain velocity enters a uniform electric field directed along positive y-axis. Its
  • Vertical velocity changes but horizontal velocity remains constant
  • Horizontal velocity changes but vertical velocity remains constant
  • Both vertical and horizontal velocities change
  • Neither vertical nor horizontal velocity changes

Physics-Electrostatics I-70964.png

  • Physics-Electrostatics I-70965.png
  • 2)
    Physics-Electrostatics I-70966.png

  • Physics-Electrostatics I-70967.png
  • 7
If 4 × 1020 eV energy is required to move a charge of 0.25 coulomb between two points. Then, what will be the potential difference between them?
  • 178 V
  • 256 V
  • 356 V
  • None of these
A drop of 10–6 kg water carries 10–6 C charge. What electric field should be applied to balance its weight (assume g = 10 m/s2)
  • 10 V/m upward
  • 10 V/m downward
  • 0.1 V/m downward
  • 0.1 V/m upward
A small conducting sphere of radius r is lying concentrically inside a bigger hollow conducting sphere of radius R. The bigger and smaller spheres are charged with Q and q (Q > q) and are insulated from each other. The potential difference between the spheres will be

  • Physics-Electrostatics I-70971.png
  • 2)
    Physics-Electrostatics I-70972.png

  • Physics-Electrostatics I-70973.png

  • Physics-Electrostatics I-70974.png
Two point charges +9e and +e are at 16 cm away from each other. Where should another charge q be placed between them so that the system remains in equilibrium?
  • 24 cm from + 9e
  • 12 cm from + 9e
  • 24 cm from + e
  • 12 cm from + e
If 3 charges are placed the vertices of equilateral triangle of charge \'q\' each. What is the net potential energy, if the side of equilateral A is l cm

  • Physics-Electrostatics I-70977.png
  • 2)
    Physics-Electrostatics I-70978.png

  • Physics-Electrostatics I-70979.png

  • Physics-Electrostatics I-70980.png
The distance between charges 5 × 10–11C and –2.7 × 10–11C is 0.2 m. The distance at which third charge should be placed in order that it will not experience any force along the line joining the two charges is
  • 0.44 m
  • 0.65 m
  • 0.556 m
  • 0.350 m

Physics-Electrostatics I-70983.png
  • Negative, increase
  • Positive, decrease
  • Negative, decrease
  • Positive, increase
A charged particle of mass m and charge q is released from rest in a uniform electric field E. Neglecting the effect of gravity, the kinetic energy of the charged particle after ‘t’ second is

  • Physics-Electrostatics I-70984.png
  • 2)
    Physics-Electrostatics I-70985.png

  • Physics-Electrostatics I-70986.png

  • Physics-Electrostatics I-70987.png

Physics-Electrostatics I-70989.png
  • 3.6 × 106 N/C
  • 1.8 × 106 N/C
  • Zero
  • 0.9 × 106 N/C
A thin spherical conducting shell of radius R has a charge q. Another charge Q is placed at the centre of the shell. The electrostatic potential at a point p a distance R/2 from the centre of the shell is

  • Physics-Electrostatics I-70990.png
  • 2)
    Physics-Electrostatics I-70991.png

  • Physics-Electrostatics I-70992.png

  • Physics-Electrostatics I-70993.png
A hollow conducting sphere is placed in an electric field produced by a point charge placed at P as shown in figure. Let VA, VB, VC be the potentials at points A,B and C respectively. Then
Physics-Electrostatics I-70995.png
  • VC > VB
  • VB > VC
  • VA > VB
  • VA = VC
A point charge is kept at the centre of a metallic insulated spherical shell. Then
  • Electric field outside the sphere is zero
  • Electric field inside the sphere is zero
  • Net induced charge on the sphere is zero
  • Electric potential inside the sphere is zero
A charge of 10 e.s.u. is placed at a distance of 2 cm from a charge of 40 e.s.u. and 4 cm from another charge of 20 e.s.u. The potential energy of the charge 10 e.s.u. is (in ergs)
  • 87.5
  • 112.5
  • 150
  • 250
Identify the wrong statement
  • The electrical potential energy of a system of two protons shall increase if the separation between the two is decreased
  • The electrical potential energy of a proton electron system will increase if the separation between the two is decreased
  • The electrical potential energy of a proton electron system will increase if the separation between the two is increased
  • The electrical potential energy of system of two electrons shall increase if the separation between the two is decreased
A sphere of 4 cm radius is suspended within a hollow sphere of 6 cm radius. The inner sphere is charged to potential 3 e.s.u. and the outer sphere is earthed. The charge on the inner sphere is
  • 54 e.s.u.
  • 1/4 e.s.u.
  • 30 e.s.u.
  • 36 e.s.u.
Two positive point charges of 12 and 5 micro-coulombs, are placed 10 cm apart in air. The work needed to bring them 4 cm closer is
  • 2.4 J
  • 3.6 J
  • 4.8 J
  • 6.0 J
There are two equipotential surfaces as shown in figure. The distance between them is r. The charge of –q coulomb is taken from the surface A to B, the resultant work done will be
Physics-Electrostatics I-71000.png

  • Physics-Electrostatics I-71001.png
  • 2)
    Physics-Electrostatics I-71002.png

  • Physics-Electrostatics I-71003.png

  • Physics-Electrostatics I-71004.png
When one electron is taken towards the other electron, then the electric potential energy of the system
  • Decreases
  • Increases
  • Remains unchanged
  • Become zero
A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10y. The potential at a distance of 2cm from the centre of the sphere
  • Zero
  • 10 V
  • 4 V
  • 10/3 V
The work done in carrying a charge of 5µC from a point A to a point B in an electric field is 110 mJ. The potential difference (VB – VA) is then
  • +2kV
  • –2kV
  • +200 V
  • –200V
Value of potential at a point due to a point charge is
  • Inversely proportional to square of the distance
  • Directly proportional to square of the distance
  • Inversely proportional to the distance
  • directly proportional to the distance
Electric potential of earth is taken to be zero because earth is a good
  • Insulator
  • Conductor
  • Semiconductor
  • Dielectric
Two parallel plates separated by a distance of 5 mm are kept at a potential difference of 50 V A particle of mass 10–15 kg and charge 10–11C enters in it with a velocity 107 m/s. The acceleration the particle will be
  • 108 m/s2
  • 5 × 105 m/s2
  • 105 m/s2
  • 2 × 103 m/s2
Three point charges are placed at the corners of an equilateral triangle. Assuming only electrostatic forces are acting
  • The system can never be in equilibrium
  • The system will be in equilibrium if the charges rotate about the centre of the triangle
  • The system will be in equilibrium if the charges have different magnitudes different signs
  • The system will be in equilibrium if the charges have the same magnitudes but different signs
If an insulated non-conducting sphere of radius R has charge density ρ. The electric field at a distance r from the centre of sphere (r < R) will be

  • Physics-Electrostatics I-71010.png
  • 2)
    Physics-Electrostatics I-71011.png

  • Physics-Electrostatics I-71012.png

  • Physics-Electrostatics I-71013.png
Two plates are at potentials –10 V and +30 V. If the separation between the plates be 2 cm. The electric field between them is
  • 2000 V/m
  • 1000 V/m
  • 500 V/m
  • 3000 V/m
Three infinitely long charge sheets are placed as shown in figure. The electric field at point P is
Physics-Electrostatics I-71016.png

  • Physics-Electrostatics I-71017.png
  • 2)
    Physics-Electrostatics I-71018.png

  • Physics-Electrostatics I-71019.png

  • Physics-Electrostatics I-71020.png
Top of the stratosphere has an electric field E (in units of V/m) nearly equal to
  • 0
  • 10
  • 100
  • 1000
Infinite charges of magnitude q each lying at x = 1, 2, 4, 8…. metre on X-axis. The value of intensity of electric field at point x = 0 due to these charges will be
  • 12 × 109 q N/C
  • Zero
  • 6 × 109 q N/C
  • 4 × 109 q N/C
A square of side \'a\' has charge Q at its centre and charge `q\' at one of the corners. The work required in moving the charge \'q\' from one corner to the diagonally opposite corner is
  • Zero
  • 2)
    Physics-Electrostatics I-71023.png

  • Physics-Electrostatics I-71024.png

  • Physics-Electrostatics I-71025.png
A pendulum bob of mass 30.7 × 10–6 kg and carrying a charge 2 × 10–8 C is at rest in a horizontal uniform electric field of 20000 V/m. The tension in the thread of the pendulum is (g = 9.8 m/s2)
  • 3 × 10–4 N
  • 40 × 10–4 N
  • 5 × 10–4 N
  • 6 × 10–4 N
An infinite line charge produce a field of 7.182 × 108 N/C at a distance of 2 cm. The linear charge density is
  • 7.27 × 10–4 C/m
  • 7.98 × 10–4 C/m
  • 7.11 × 10–4 C/m
  • 7.04 × 10–4 C/m
0:0:1


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