JEE Questions for Physics Electrostatics I Quiz 25 - MCQExams.com

All six capacitors shown are identical, each can withstand maximum 200 volts between its terminals. The maximum voltage that can be safely applied between A and B is
Physics-Electrostatics I-72747.png
  • 1200 V
  • 400 V
  • 800 V
  • 200 V
The charge on 4µF capacitor in the given circuits is ....in µC
Physics-Electrostatics I-72749.png
  • 12
  • 24
  • 36
  • 32
Three plates of common surface area Aare connected as shown. The effective capacitance will be
Physics-Electrostatics I-72751.png

  • Physics-Electrostatics I-72752.png
  • 2)
    Physics-Electrostatics I-72753.png

  • Physics-Electrostatics I-72754.png

  • Physics-Electrostatics I-72755.png
  • 0.5 V

Physics-Electrostatics I-72757.png

  • Physics-Electrostatics I-72758.png
  • 2)
    Physics-Electrostatics I-72759.png

  • Physics-Electrostatics I-72760.png

  • Physics-Electrostatics I-72761.png
The equivalent capacitance between A and B is (in µF)
Physics-Electrostatics I-72763.png
  • 25
  • 2)
    Physics-Electrostatics I-72764.png
  • 9

  • Physics-Electrostatics I-72765.png
  • 1
A network of four capacitors of capacities equal to C1 = C, C2 = 2C, C3 = 3C and C4 = 4C are connected to a battery as shown in the figure.
The ratio of the charges on C2 and C4 is
Physics-Electrostatics I-72767.png

  • Physics-Electrostatics I-72768.png
  • 2)
    Physics-Electrostatics I-72769.png

  • Physics-Electrostatics I-72770.png

  • Physics-Electrostatics I-72771.png
An electric line of force in the xy–plane is given by equation x2 + y2 =1. A particle with unit positive charge, initially at rest at the point x = 1, y = 0 in the xy plane
  • Not move at all
  • Will move along straight line
  • Will move along the circular line of force
  • Information is insufficient to draw any conclusion
A solid metallic sphere has a charge +3Q. Concentric with this sphere is a conducting spherical shell having charge –Q. The radius of the sphere is a and that of the spherical shell is b(b > a). What is the electric field at a distance R(a < R < b) from the centre?

  • Physics-Electrostatics I-72775.png
  • 2)
    Physics-Electrostatics I-72776.png

  • Physics-Electrostatics I-72777.png

  • Physics-Electrostatics I-72778.png
If on the concentric hollow spheres of radii r and R(>r) the charge Q is distributed such that their surface densities are same then the potential at their common centre is

  • Physics-Electrostatics I-72780.png
  • 2)
    Physics-Electrostatics I-72781.png
  • Zero

  • Physics-Electrostatics I-72782.png
Two equal charges q of opposite sign separated by a distance 2a constitute an electric dipole of dipole moment p. If P is a point at a distance r from the centre of the dipole and the line joining the centre of the dipole to this point makes an angel θ with the axis of the dipole, then the potential at P is given by (r >> 2a) (where p = 2a)

  • Physics-Electrostatics I-72784.png
  • 2)
    Physics-Electrostatics I-72785.png

  • Physics-Electrostatics I-72786.png

  • Physics-Electrostatics I-72787.png

Physics-Electrostatics I-72790.png

  • Physics-Electrostatics I-72791.png
  • 2)
    Physics-Electrostatics I-72792.png

  • Physics-Electrostatics I-72793.png

  • Physics-Electrostatics I-72794.png

Physics-Electrostatics I-72800.png
  • +2
  • –1
  • –2
  • Zero
A negatively charged plate has charge density of 2 × 10–6 C /m2. The initial distance of an electronwhich is moving towards the plate, cannot strike the plate, if it is having energy of 200 eV
  • 1.77 mm
  • 3.51 mm
  • 1.77 cm
  • 3.51 cm
Electric potential is given by
V = 6x – 8xy2– 8y + 6yz – 4z2
Then electric force acting on 2C point charge placed on origin will be
  • 2 N
  • 6 N
  • 8 N
  • 20 N
The electric field in a region is radially outward with magnitude E = Aγ0. The charge contained in a sphere of radius γ0 centered at the origin is

  • Physics-Electrostatics I-72805.png
  • 2)
    Physics-Electrostatics I-72806.png

  • Physics-Electrostatics I-72807.png

  • Physics-Electrostatics I-72808.png
Consider two points 1 and 2 in a region outside a charged sphere. Two points are not very far away from the sphere. If E and V represent the electric field vector and the electric potential, which of the following is not possible?

  • Physics-Electrostatics I-72810.png
  • 2)
    Physics-Electrostatics I-72811.png

  • Physics-Electrostatics I-72812.png

  • Physics-Electrostatics I-72813.png
A solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is given a charge of –3Q, the new potential difference between the same two surfaces is
  • V
  • 2V
  • 4V
  • –2V
Two point charges +q and –q are held fixed at (–d,and (d,respectively of a (X, Y) coordinate system. Then

  • Physics-Electrostatics I-72815.png
  • 2)
    Physics-Electrostatics I-72816.png

  • Physics-Electrostatics I-72817.png
  • Work has to be done in bringing a test charge from infinity to the origin
A point charge of 40 stat coulomb is placed 2cm in front of an earthed metallic plane plate of large size. Then the force attraction on the point charge is
  • 100 dynes
  • 160 dynes
  • 1600 dynes
  • 400 dynes
A piece of cloud having area 25 × 106 m2 and electricpotential of 105 volts. If the height of cloud is 0.75 km, then energy of electric field between earth and cloud will be
  • 250 J
  • 750 J
  • 1225 J
  • 1475 J
A parallel plate air capacitor has a capacitance of 100µF. The plates are at a distance d apart. If a slab of thickness t (t ≤ d)and dielectric constant 5 is introduced between the parallel plates, then the capacitance willbe
  • 50 µµF
  • 100 µµF
  • 200 µµF
  • 500 µµF
A charged particle q 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-72822.png
  • 2)
    Physics-Electrostatics I-72823.png
  • 2r
  • r

  • Physics-Electrostatics I-72824.png
A parallel plate capacitor is connected to a battery. The plates are pulled apart with a uniform speed. If x is the separation between the plates, the time rate of change of electrostatic energy of capacitor is proportional to
  • x–2
  • x
  • x–1
  • x2
Five identical plates each of area Aare joined as shown in the figure. The distance between the plates is d. The plates are connected to a potential difference of V volts. The charge on plates 1 and 4 will be
Physics-Electrostatics I-72827.png

  • Physics-Electrostatics I-72828.png
  • 2)
    Physics-Electrostatics I-72829.png

  • Physics-Electrostatics I-72830.png

  • Physics-Electrostatics I-72831.png
To form a composite 16µF, 1000V capacitor from a supply of identical capacitors marked 8 µF, 250V, we require a minimum number of capacitors
  • 40
  • 32
  • 8
  • 2
An infinite number of identical capacitors each of capacitance 1µF are connected as in adjoining figure. Then the equivalent capacitance between A and B is
Physics-Electrostatics I-72834.png
  • 1µF
  • 21.0

  • Physics-Electrostatics I-72835.png
  • ∞
Figure given below shows two identical parallel plate capacitors connected to a battery with switch S closed. The switch is now opened and the free space between the plate of capacitors is filled with a dielectric of dielectric constant 3. What will be the ratio of total electrostatic energy stored in both capacitors before and after the introduction of the dielectric?
Physics-Electrostatics I-72837.png
  • 3 : 1
  • 5 : 1
  • 3 : 5
  • 5 : 3
Consider A has a capacity of 15µF When it is filled with a medium of dielectric constant 15. Another condenser B has a capacity of 1µF with air between the plates. Both are charged separately by a battery of 100V. After charging both are connected in parallel without the battery and the dielectric medium being removed. The common potential now is
  • 400 V
  • 800 V
  • 1200 V
  • 1600 V
Four metallic plates each with a surface area of one side A are placed at a distance d from each other. The plates are connected as shown in the circuit diagram. Then the capacitance of the system between a and b is
Physics-Electrostatics I-72844.png

  • Physics-Electrostatics I-72845.png
  • 2)
    Physics-Electrostatics I-72846.png

  • Physics-Electrostatics I-72847.png

  • Physics-Electrostatics I-72848.png
A finite ladder is constructed by connecting several sections of 2µF, 4µF capacitor combinations as show in the figure. It is terminated by a capacitor of capacitanceC. What value should be chosen C such that the equivalent capacitance of the ladder between thepoints A and B becomes independent of the number of sections in between
Physics-Electrostatics I-72850.png
  • 4 µF
  • 2 µF
  • 18 µF
  • 6 µF
In an isolated parallel plate capacitor of capacitance C, the four surface have charge Q1, Q2, Q3, and Q4 as shown. The potential difference between the plate is
Physics-Electrostatics I-72852.png

  • Physics-Electrostatics I-72853.png
  • 2)
    Physics-Electrostatics I-72854.png

  • Physics-Electrostatics I-72855.png

  • Physics-Electrostatics I-72856.png
In the given figure each plate of capacitance C has partial value of charge
Physics-Electrostatics I-72858.png
  • CE
  • 2)
    Physics-Electrostatics I-72859.png

  • Physics-Electrostatics I-72860.png

  • Physics-Electrostatics I-72861.png
A network of four capacitors of capacity equal to C1 = C, C2 = 2C, C2 = 3C and C4 = 4C are conducted in a battery as shown in the figure. The ratio of the charges on C2 and C4 is
Physics-Electrostatics I-72865.png

  • Physics-Electrostatics I-72866.png
  • 2)
    Physics-Electrostatics I-72867.png

  • Physics-Electrostatics I-72868.png

  • Physics-Electrostatics I-72869.png
The voltage of clouds 4 × 106 volt with respect to ground. In a lightning strike lasting 100 m sec, a charge of 4 coulombs is delivered to the ground. The power of lightning strike is
  • 160 MW
  • 80 MW
  • 20 MW
  • 500 MW
An electron is released from the bottom plate A as shown in the figure (E = 104N / C). The velocity of the electron when it reaches plate B will be nearly equal to
Physics-Electrostatics I-72872.png
  • 0.85 × 107 m/s
  • 1.0 × 107 m/s
  • 1.25 × 107 m/s
  • 1.65 × 107 m/s
A ball of mass 1g and charge 10–8 C moves from a point A. Where potential is 600 V 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 m/s
  • 168 m/s
What will be the capacity of a parallel-plate capacitor when the half of parallel space between the plates is filled by a material of dielectric constant ɛr? Assume that the capacity of the capacitor in air is C.

  • Physics-Electrostatics I-72875.png
  • 2)
    Physics-Electrostatics I-72876.png

  • Physics-Electrostatics I-72877.png

  • Physics-Electrostatics I-72878.png
Point charge q moves from point P to point S along the path PQRS (figure shown) in a uniform electric field E pointing coparallel to the positive direction of the X–axis. The co-ordinates of the points P, Q, R and S are(a, b,(2a, 0,(a, –b,and (0, 0,respectively, The work done by the field in the above process is given by the expression
Physics-Electrostatics I-72880.png

  • Physics-Electrostatics I-72881.png
  • 2)
    Physics-Electrostatics I-72882.png

  • Physics-Electrostatics I-72883.png

  • Physics-Electrostatics I-72884.png
The variation of potential with distance R from a fixed point is as shown below. The electric field at R = 5 m is
Physics-Electrostatics I-72886.png
  • 2.5 volt/m
  • –2.5 volt/m
  • 2/5 volt/m
  • –2/5 volt/m
The electric field due to a uniformly charged sphere of radius R as a function of the distance from its centre is represented graphically by

  • Physics-Electrostatics I-72888.png
  • 2)
    Physics-Electrostatics I-72889.png

  • Physics-Electrostatics I-72890.png

  • Physics-Electrostatics I-72891.png
What physical quantities may X and Y represent? (Y represents the first mentioned quantity)
Physics-Electrostatics I-72893.png
  • Pressure v/s temperature of a given gas (constant volume)
  • Kinetic energy v/s velocity of a particle
  • Capacitance v/s charge to give a constant potential
  • Potential v/s capacitance to give a constant charge
Figure (a) shows two capacitors connected in series and joined to a battery. The graph in figure (b) shows the variation in potential as one moves from left to right on the branch containing the capacitors, if
Physics-Electrostatics I-72899.png

  • Physics-Electrostatics I-72900.png
  • 2)
    Physics-Electrostatics I-72901.png

  • Physics-Electrostatics I-72902.png

  • Physics-Electrostatics I-72903.png
Equipotential surfaces are shown in figure. Then the electric field strength will be
Physics-Electrostatics I-72905.png
  • 100 Vm–1 along X-axis
  • 100 Vm–1 along Y-axis
  • 200 Vm–1 at an angle 120° with X-axis
  • 50 Vm–1 at an angle 120° with X-axis
Three identical capacitors are given a charge Q each and they are then allowed to discharge through resistance R1, R2 and R3. Their charges, as a function of time shown in the graph below. The smallest of the three resistance is
Physics-Electrostatics I-72907.png
  • R3
  • R2
  • R1
  • Cannot be predicted
A condenser of 2µF capacitance is charged steadily from 0 to 5 coulomb. Which of the following graphs correctly represents the variation of potential difference across its plates with respect to the charge on the condenser?

  • Physics-Electrostatics I-72909.png
  • 2)
    Physics-Electrostatics I-72910.png

  • Physics-Electrostatics I-72911.png

  • Physics-Electrostatics I-72912.png
Two identical point charges are placed at a separation of d. P is a point on the line joining the charges, at a distance x from any one charge. The field at P is E, E is plotted against x for values of x from close to zero to slightly less than d. Which of the following represents the resulting curve?

  • Physics-Electrostatics I-72914.png
  • 2)
    Physics-Electrostatics I-72915.png

  • Physics-Electrostatics I-72916.png

  • Physics-Electrostatics I-72917.png

Physics-Electrostatics I-72918.png

  • Physics-Electrostatics I-72919.png
  • 2)
    Physics-Electrostatics I-72920.png

  • Physics-Electrostatics I-72921.png

  • Physics-Electrostatics I-72922.png

Physics-Electrostatics I-72924.png

  • Physics-Electrostatics I-72925.png
  • 2)
    Physics-Electrostatics I-72926.png

  • Physics-Electrostatics I-72927.png

  • Physics-Electrostatics I-72928.png

Physics-Electrostatics I-72930.png
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion A metallic shield in form of a hollow shell may be built to block an electric field.
Reason In a hollow spherical shield, the electric field inside it is zero at every point.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
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