JEE Questions for Physics Electrostatics I Quiz 2 - MCQExams.com

The work done in moving an α – particle between two points having potential difference 25 V is
  • 8 × 10-18 J
  • 8 × 10-19 J
  • 8 × 10-20 J
  • 8 × 10-16 J
  • 4 × 10-18 J
The electrostatic potential energy between proton and electron separated by a distance 1Å is
  • 27.2 eV
  • -14.4 eV
  • 1.44 eV
  • 13.6 eV
  • 28.8 eV
The potential at a point P which is forming a corner of a square of side 93mm with charges, Q1 = 33 nC, Q2 = – 51 nC, Q3 = 47 nC located at the other three corners is nearly
  • 16 kV
  • 4 kV
  • 400 V
  • 160 V
The potential to which a conductor is raised, depends on
  • the amount of charge
  • geometry and size of the conductor
  • Both (and (2)
  • Only on (1)
On moving a charge of 20 C by 2 cm, 2 J of work is done, then the potential difference between the points is
  • 0.1 V
  • 8 V
  • 2 V
  • 0.5 V
The electrostatic force of repulsion between two positively charged ions carrying equal charge is 3.7 × 10-9 N, when they are separated by a distance of 5 Å. How much electrons are missing from each ion?
  • 10
  • 8
  • 2
  • 1
Two particles of charges q1 = + 8q and q2 = – 2q are placed, as shown. At what point away from q2 on the X-axis, can a proton be placed so that it is in equilibrium?
Physics-Electrostatics I-70118.png
  • x = 2L
  • x = 2.5L
  • x = 3.0L
  • x = 3.2L
A conducting sphere of radius 5 cm has an unknown charge. The electric field at 10 cm from the center of the sphere is 1.8 × 103 N / C and points radially inward. What is the net charge on the sphere?
  • 1.8 nC
  • 2 nC
  • 1 nC
  • 1.5 nC

Physics-Electrostatics I-70121.png

  • Physics-Electrostatics I-70122.png
  • 2)
    Physics-Electrostatics I-70123.png

  • Physics-Electrostatics I-70124.png

  • Physics-Electrostatics I-70125.png
A charged particle g is shot towards another charged particle Q, which is fixed, with a speed v. It approaches Q upto a closest distance r and then returns. If q is shot with speed 2v, the closest distance of approach would be

  • Physics-Electrostatics I-70127.png
  • 2)
    Physics-Electrostatics I-70128.png
  • 2r
  • r

  • Physics-Electrostatics I-70129.png
Two conducting spheres of radii 3 cm and 1 cm are separated by a distance of 10 cm in free space. If the spheres are charged to same potential of 10 V each, the force of repulsion between them is

  • Physics-Electrostatics I-70131.png
  • 2)
    Physics-Electrostatics I-70132.png

  • Physics-Electrostatics I-70133.png

  • Physics-Electrostatics I-70134.png

  • Physics-Electrostatics I-70135.png
Four charges equal to – Q are placed at the four corners of a square and a charge q is at its centre. If the system is in equilibrium the value of q is

  • Physics-Electrostatics I-70137.png
  • 2)
    Physics-Electrostatics I-70138.png

  • Physics-Electrostatics I-70139.png

  • Physics-Electrostatics I-70140.png
There is a uniform electric field of intensity E, which is as shown in the figure. How many labelled points have the same electric potential as the fully shaded point?
Physics-Electrostatics I-70142.png
  • 2
  • 3
  • 8
  • 11
Two identical conducting balls A and B have positive charges q1 and q2 respectively, but q1 ≠ q2. The balls are brought together so that they touch each other and then kept in their original positions. The force between them is
  • less than that before the balls touched
  • greater than that before the balls touched
  • same as that before the balls touched
  • zero
Under the action of a given coulombic force the acceleration of an electron is 2.5 × 1022 m/s2. Then, the magnitude of the acceleration of a proton under the action of same force is nearly
  • 1.6 × 10-19 m/s2
  • 9.1 × 1031 m/s2
  • 1.5 × 1019 m/s2
  • 1.6 × 1027 m/s2
A conductor has been given a charge –3 × 10-7C by transferring electrons. Mass increase (in kg) of the conductor and the number of electrons added to the conductor are respectively
  • 2 × 10-16 and 2 x 1031
  • 5 × 10-31 and 5 x 1019
  • 3 × 10-19 and 9 x 1016
  • 2 × 10-18 and 2 x 1012
Under the influence of the coulomb field of charge + Q, a charge –q is moving around it in an elliptical orbit. Find out the correct statements(s).
  • The angular momentum of the charge -q is constant
  • The linear momentum of the charge -q is constant
  • The angular velocity of the charge -q is constant
  • The linear speed of the charge -q is constant

Physics-Electrostatics I-70146.png

  • Physics-Electrostatics I-70147.png
  • 2)
    Physics-Electrostatics I-70148.png

  • Physics-Electrostatics I-70149.png

  • Physics-Electrostatics I-70150.png
A charge of 1 µC is divided into two parts such that their charges are in the ratio of 2 : 3. These two charges are kept at a distance 1 m apart in vacuum. Then, the electric force between them (in N) is
  • 0.216
  • 0.00216
  • 0.0216
  • 2.16
A solid spherical conductor of radius R has a spherical cavity of radius a (a < R) at its centre. A charge + Q is kept at the centre. The charge at the inner surface, outer surface and at a position r (a < r < R) are respectively
  • + Q, -Q, 0
  • -Q,+ Q, 0
  • 0, -Q, 0
  • + Q, 0, 0

Physics-Electrostatics I-70153.png

  • Physics-Electrostatics I-70154.png
  • 2)
    Physics-Electrostatics I-70155.png

  • Physics-Electrostatics I-70156.png

  • Physics-Electrostatics I-70157.png
Two identical metal spheres charged with + 12μF and –8µF are kept at certain distance in air. They are brought into contact and then kept at the same distance. The ratio of the magnitudes of electrostatic forces between them before and after contact is
  • 12 : 1
  • 8 : 1
  • 24 : 1
  • 4 : 1
The force of interaction between two charges q1 = 6 μC and q2 = 2 μC is 12 N. If charge q = – 2 μC is added to each of the charges, then the new force of interaction is
  • 2 × 10-7 N
  • zero
  • 30 N
  • 2 × 10-3 N
Two charges +q and –q are kept apart. Then, at any point on the right bisector of line joining the two charges
  • the electric field strength is zero
  • the electric potential is zero
  • both electric potential and electric field strength are zero
  • both electric potential and electric field strength are non-zero
A comb runs through one's dry hair attracts small bits of paper. This is due to
  • comb is a good conductor
  • paper is a good conductor
  • the atoms in the paper get polarised by the charged comb
  • the comb possesses magnetic properties
Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the sphere is then
  • negative and distributed uniformly over the surface of the sphere
  • negative and appears only at the point on the sphere closest to the point charge
  • negative and distributed non-uniformly over the entire surface of the sphere
  • zero
Two equal metal balls are charged to 10 and –20 units of electricity. Then, they are brought in contact with each other and then again separated to the original distance. The ratio of magnitudes of the force between the two balls before and after contact is
Physics-Electrostatics I-70162.png
  • 8 : 1
  • 1 : 8
  • 2 : 1
  • 1 : 2
Two unit negative charges are placed on a straight line. A positive charge q is placed exactly at the mid–point between these unit charges. If the system of these three charges is in equilibrium, the value of q (in C) is
  • 1.0
  • 0.75
  • 0.5
  • 0.25
Three charges 1 µC,1 µC, and 2 µC are kept at vertices of A,B and C of an equilateral triangle ABC of 10 cm side respectively. The resultant force on the charge at C is
  • 0.9 N
  • 1.8 N
  • 2.72 N
  • 3.12 N
Force between two identical charges placed at a distance of r in vacuum is F. Now a slab of dielectric of dielectric constant 4 is inserted between these two charges. If the thickness of the slab is r/ 2, then the force between the charges will become
  • F
  • 2)
    Physics-Electrostatics I-70166.png

  • Physics-Electrostatics I-70167.png

  • Physics-Electrostatics I-70168.png

  • Physics-Electrostatics I-70169.png
A given charge situated at a certain distance from an electric dipole in the end on position, experiences a force F. If the distance of charge is doubled, the force acting on the charge will be
  • 2F
  • F/2
  • F/4
  • F/8
Two identical spheres with charges 4q , – 2q kept some distance apart exert a force F on each other. If they are made to touch each other and replaced at their old positions, the force between them will be

  • Physics-Electrostatics I-70171.png
  • 2)
    Physics-Electrostatics I-70172.png

  • Physics-Electrostatics I-70173.png

  • Physics-Electrostatics I-70174.png
Identify the wrong statement in the following. Coulomb's law correctly described the electric force that
  • binds the electrons of an atom to its nucleus
  • binds the protons and neutrons in the nucleus of an atom
  • binds atoms together to form molecules
  • binds atoms and molecules to form solids
The figure shows four situations in which charges as indicated (q >are fixed on an axis. In which situation is there a point to the left of the charges, where an electron would be in equilibrium?
Physics-Electrostatics I-70176.png
  • 1 and 2
  • 2 and 4
  • 3 and 4
  • 1 and 3
A charge q is placed at the centre of the line joining two equal point charges each equal to Q. The system of three charges will be in equilibrium if q is equal to
  • +Q/ 4
  • –Q/ 2
  • +Q/ 2
  • –Q/4
A ring shaped conductor with radius a carries a net positive charge q uniformly distributed on it as shown in figure. A point P is situated at a distance x from its centre. Which of the following graph shows the correct variation of electric field (E) with distance (x)?

  • Physics-Electrostatics I-70179.png
  • 2)
    Physics-Electrostatics I-70180.png

  • Physics-Electrostatics I-70181.png
  • None of these
Three infinitely charged sheets are kept parallel to x–y plane having charge densities as shown. Then, the value of electric field at P is
Physics-Electrostatics I-70183.png

  • Physics-Electrostatics I-70184.png
  • 2)
    Physics-Electrostatics I-70185.png

  • Physics-Electrostatics I-70186.png

  • Physics-Electrostatics I-70187.png
A spherical conductor of radius 2 cm is uniformly charged with 3 nC . What is the electric field at a distance of 3 cm from the centre of the sphere ?
  • 3 × 106 Vm -1
  • 3 Vm -1
  • 3 × 104 Vm -1
  • 3 × 10 -4 Vm -1

Physics-Electrostatics I-70190.png

  • Physics-Electrostatics I-70191.png
  • 2)
    Physics-Electrostatics I-70192.png

  • Physics-Electrostatics I-70193.png

  • Physics-Electrostatics I-70194.png

Physics-Electrostatics I-70196.png
  • σ / 2ε0 , down
  • σ / 2ε0 , up
  • σ / ε0, down
  • σ /ε0 , up

Physics-Electrostatics I-70198.png

  • Physics-Electrostatics I-70199.png
  • 2)
    Physics-Electrostatics I-70200.png

  • Physics-Electrostatics I-70201.png

  • Physics-Electrostatics I-70202.png
In a uniformly charged sphere of total charge Q and radius R, the electric field E is plotted as function of distance from the centre. The graph which would correspond to the above will be

  • Physics-Electrostatics I-70204.png
  • 2)
    Physics-Electrostatics I-70205.png

  • Physics-Electrostatics I-70206.png

  • Physics-Electrostatics I-70207.png
A proton and an electron are placed in a uniform electric field
  • the electric field acting on them will be equal
  • the magnitude of the force will be equal
  • their accelerations will be equal
  • the magnitude of their acceleration will be equal
The two infinite parallel metal plates, contain electric charges with charge densities + σ and –σ respectively and they are separated by a small distance in air. If the permittivity of air is ε0 , then the magnitude of the field between the two plates with its directions will be
  • σ / ε0 towards the positively charged plate
  • σ / ε0 towards the negatively charged plate
  • σ /(2ε0 ) towards the positively charged plate
  • 0 and towards any direction
A wooden block performs SHM on a frictionless surface with frequency v0 .The block carries a charge + Q on its surface. If now a uniform electric field E is switched on as shown, then the SHM of the block will be
Physics-Electrostatics I-70210.png
  • of the same frequency and with shifted mean position
  • of the same frequency and with the same mean position
  • of changed frequency and with shifted mean position
  • of changed frequency and with the same mean position
A few electric field lines for a system of two charges Q1 and Q2 fixed at two different points on the x-axis are shown in the figure. These lines suggest that
Physics-Electrostatics I-70211.png

  • Physics-Electrostatics I-70212.png
  • 2)
    Physics-Electrostatics I-70213.png
  • at a finite distance to the left of Q1, the electric field is zero
  • at a finite distance to the right of Q2, the electric field is one
A uniformly charged thin spherical shell of radius R carries uniform surface charge density of σ per unit area. It is made of two hemi-spherical shells, held together by pressing them with force F (see figure). F is proportional to
Physics-Electrostatics I-70215.png

  • Physics-Electrostatics I-70216.png
  • 2)
    Physics-Electrostatics I-70217.png

  • Physics-Electrostatics I-70218.png

  • Physics-Electrostatics I-70219.png

Physics-Electrostatics I-70221.png

  • Physics-Electrostatics I-70222.png
  • 2)
    Physics-Electrostatics I-70223.png

  • Physics-Electrostatics I-70224.png

  • Physics-Electrostatics I-70225.png
A thin semi-circular ring of radius r has a positive charge q distributed uniformly over it. The net field E at the centre O is
Physics-Electrostatics I-70227.png

  • Physics-Electrostatics I-70228.png
  • 2)
    Physics-Electrostatics I-70229.png

  • Physics-Electrostatics I-70230.png

  • Physics-Electrostatics I-70231.png
An electron initially at rest falls a distance of 1.5 cm in a uniform electric field of magnitude 2 x 104 N/C. The time taken by the electron to fall this distance is
  • 1.3 × 102 s
  • 2.1× 10-12 s
  • 1.6 × 10-10 s
  • 2.9 × 10-9 s
0:0:1


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