JEE Questions for Physics Electrostatics I Quiz 4 - MCQExams.com

A spherical metal shell A of radius RA and a solid metal sphere B of radius RB (A) are kept far apart and each are given charge + Q. Now they are connected by a thin metal wire. Then,

  • Physics-Electrostatics I-70349.png
  • 2)
    Physics-Electrostatics I-70350.png

  • Physics-Electrostatics I-70351.png

  • Physics-Electrostatics I-70352.png
  • All of the above
Work done in carrying a charge Q' once round the circle of radius r with a charge Q at the centre is

  • Physics-Electrostatics I-70354.png
  • 2)
    Physics-Electrostatics I-70355.png
  • zero

  • Physics-Electrostatics I-70356.png
Out of two copper spheres of the same size, x is hollow while y is solid. If they are charged at the same potential, what can be said about the charges on them?
  • Charge on both the spheres is zero
  • Charge on both the spheres is equal
  • Sphere y will have more charge
  • Sphere x will have more charge
The ratio of momenta of an electron and proton which are accelerated from rest by a potential difference 50 V is

  • Physics-Electrostatics I-70358.png
  • 2)
    Physics-Electrostatics I-70359.png

  • Physics-Electrostatics I-70360.png

  • Physics-Electrostatics I-70361.png
The electric potential at centre of metallic conducting sphere is
  • zero
  • half from potential at surface of sphere
  • equal from potential at surface of sphere
  • twice from potential at surface of sphere
If a charged spherical conductor of radius 10 cm has potential V at a point distant 5 cm from its centre, then the potential at a point distant 15 cm from the centre will be
  • 1/3 V
  • 2/3 V
  • 3/2 V
  • 3V
Two points P and Q are maintained at the potentials of 10 V and – 4V respectively. The work done in moving 100 electrons from P to Q is
  • –19 × 10 -17 J
  • 9.60 × 10 -17 J
  • –2.24 × 10 -16 J
  • 2.24 × 10 -16 J
Two conducting spheres A and. B of radius a and b, respectively are at the same potential. The ratio of the surface charge densities of A and B is

  • Physics-Electrostatics I-70366.png
  • 2)
    Physics-Electrostatics I-70367.png

  • Physics-Electrostatics I-70368.png

  • Physics-Electrostatics I-70369.png

  • Physics-Electrostatics I-70370.png
Three charges 2q , – q , –q are located at the vertices of an equilateral triangle. At the circumcentre of the triangle,
  • the field is zero but potential is non-zero
  • potential is zero and the field is infinity
  • both the field and potential are zero
  • both the field and potential are non-zero
  • the field is non–zero but potential is zero
Three charges are placed at the vertex of an equilateral triangle as shown in figure. For what value of Q, the electrostatic potential energy of the system is zero?
Physics-Electrostatics I-70373.png
  • –q
  • q / 2
  • –2q
  • –q / 2
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
Identify the wrong statement.
  • In an electric field two equipotential surfaces can never intersect
  • A charged particle free to move in an electric field shall always move in the direction of E
  • Electric field at the surface of a charged conductor is always normal to the surface
  • The electric potential decrease along a line of fore, in an electric field
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 charge q is fixed. Another charge Q is brought near it and rotated in a circle of radius r around it. Work done during rotation is
  • zero
  • 2)
    Physics-Electrostatics I-70377.png

  • Physics-Electrostatics I-70378.png
  • None of these
The charges Q, +q and +q are placed at the vertices of an equilateral triangle of side l. If the net electrostatic potential energy of the system is zero, then Q is equal to

  • Physics-Electrostatics I-70380.png
  • –q

  • Physics-Electrostatics I-70381.png
  • zero
Three charges Q0 , -q and - q are placed at the vertices of an isosceles right angle triangle as in the figure. The net electrostatic potential energy is zero if Q0 is equal to
Physics-Electrostatics I-70383.png

  • Physics-Electrostatics I-70384.png
  • 2)
    Physics-Electrostatics I-70385.png

  • Physics-Electrostatics I-70386.png

  • Physics-Electrostatics I-70387.png

  • Physics-Electrostatics I-70388.png
The work done in bringing a unit positive charge from infinity distance to a point at distance X from a positive charge Q is W. Then, the potential Ï• at that point is
  • WQ / X
  • W
  • W / Q
  • WQ
An electric charge 10-3 μC is placed at the origin (0,of X-Y coordinate system. Two points A and B are situated at (√2, √and (2,respectively. The potential difference between the points A and B will be
  • 9 V
  • zero
  • 2 V
  • 4.5 V
ABCD is a rectangle. At corners B ,C and D of the rectangle are placed charges +10 × 10-10 C, –20 × 10-12 C and 10 × 10-12 C, respectively. Calculate the potential at the fourth corner. (The side AB = 4 cm and BC = 3 cm)
  • 1.65 V
  • 0.165 V
  • 16.5 V
  • 2.65 V
Charges +q and –q , are placed at points A and B respectively which are a distance 2L apart, C is the mid–point between A and B. The work done in moving a charge +Q along the semicircle CRD is
Physics-Electrostatics I-70393.png

  • Physics-Electrostatics I-70394.png
  • 2)
    Physics-Electrostatics I-70395.png

  • Physics-Electrostatics I-70396.png

  • Physics-Electrostatics I-70397.png

Physics-Electrostatics I-70399.png
  • 8q2
  • 8q1
  • 6q2
  • 6q1

Physics-Electrostatics I-70401.png

  • Physics-Electrostatics I-70402.png
  • 2)
    Physics-Electrostatics I-70403.png

  • Physics-Electrostatics I-70404.png

  • Physics-Electrostatics I-70405.png
A hollow metallic sphere of radius R is given a charge Q. Then, the potential at the centre is
  • zero
  • 2)
    Physics-Electrostatics I-70407.png

  • Physics-Electrostatics I-70408.png

  • Physics-Electrostatics I-70409.png
Find the potential at the centre of a square of side √2 m. Which carries at its four corners charges, q1 = 3 × 10-6C, q2 = –3 × 10-6C, q3 = – 4 × 10-6 C, q4 = 7 × 10-6 C
  • 2.7 × 104 V
  • 1.5 × 103 V
  • 3 × 102 V
  • 5 × 103 V
  • 3 × 103 V
Figure shows three spherical and equipotential surfaces A, B and C round a point charge q. The potential difference VA – V B =VB – VC. If t1 and t2 be the distance between them. Then,
Physics-Electrostatics I-70412.png
  • t1 = t2
  • t1 > t2
  • t1 < t2
  • t1 ≤ t2
Two concentric spheres of radii R and r have similar charges with equal surface densities (σ). What is the electric potential at their common centre ?
  • σ / ε0
  • 2)
    Physics-Electrostatics I-70414.png

  • Physics-Electrostatics I-70415.png
  • None of these
In the figure, a proton moves a distance d in a uniform electric field E as shown in the figure. Does the electric field do a positive or negative work on the proton? Does the electric potential energy of the proton increase or decrease?
Physics-Electrostatics I-70417.png
  • Negative, increase
  • Positive, decrease
  • Negative, decrease
  • Positive, increase
The figure shows electric potential V as a function of x. Rank the four regions according to the magnitude of x–component of the electric field E within them, greatest first
Physics-Electrostatics I-70418.png
  • E4 > E2 > E3 > E1
  • E2 > E4 > E1 = E3
  • E1 > E2 > E3 > E4
  • E1 > E3 > E2 > E4
Work required to set up the four charge configuration (as shown in the figure) is
Physics-Electrostatics I-70420.png
  • -0.21q2/ε0 a
  • -1.29 q2/ε0 a
  • -1.41 q2/ε0 a
  • +2.82 q2/ε0 a
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-70422.png
  • WA = WB = WC
  • WA = WB = WC = 0
  • WA > WB > WC
  • WA < WB < WC
A positively charged ball hangs from a silk thread. We put a positive test charge q0 at a point and measure F/q0, then it can be predicted that the electric field strength E will be

  • Physics-Electrostatics I-70424.png
  • 2)
    Physics-Electrostatics I-70425.png

  • Physics-Electrostatics I-70426.png
  • None of these
The positive terminal of 12 V battery is connected to the ground. Then the negative terminal will be at
  • – 6 V
  • + 12 V
  • zero
  • – 12 V
A charge (–q) and another charge (+Q) are kept at two points A and B respectively. Keeping the charge (+Q) fixed at B, the charge (–q) at A is moved to another point C such that ABC forms an equilateral triangle of side l. The net work done in moving the charge (–q) is

  • Physics-Electrostatics I-70427.png
  • 2)
    Physics-Electrostatics I-70428.png

  • Physics-Electrostatics I-70429.png
  • Zero
A long string with a charge of λ per unit length passes through an imaginary cube of edge a. The maximum flux of the electric field through the cube will be

  • Physics-Electrostatics I-70431.png
  • 2)
    Physics-Electrostatics I-70432.png

  • Physics-Electrostatics I-70433.png

  • Physics-Electrostatics I-70434.png
The capacitance of the capacitor of plate areas A1 and A2 (A1 < A2) at a distanced d, Fig. is
Physics-Electrostatics I-70436.png

  • Physics-Electrostatics I-70437.png
  • 2)
    Physics-Electrostatics I-70438.png

  • Physics-Electrostatics I-70439.png

  • Physics-Electrostatics I-70440.png
In the circuit shown in Fig., C = 6 µF. The charge stored in capacitor of capacity C is
Physics-Electrostatics I-70442.png
  • 90 µC
  • 40µC
  • 60µC
  • Zero
A hollow metal sphere of radius 10 cm is charged such that the potential on its surface is 80 V. The potential at the centre of the sphere is
  • zero
  • 80 V
  • 800 V
  • 8 V
Two capacitors A and B are connected in series with a battery as shown in Fig. When the switch S is closed and the two capacitors get charged fully, then
Physics-Electrostatics I-70444.png
  • The potential difference across the plates of A is 4 V and across the plates of B is 6 V
  • The potential difference across the plates of A is 6 V and across the plates of B is 4 V
  • The ratio of electrical energies stored in A and B is 2 : 3
  • The ratio of charges on A and B is 3 : 2

Physics-Electrostatics I-70446.png
  • resistance
  • charge
  • voltage
  • current
A charge QµC is placed at the centre of a cube, the flux coming out from any surface will be

  • Physics-Electrostatics I-70448.png
  • 2)
    Physics-Electrostatics I-70449.png

  • Physics-Electrostatics I-70450.png

  • Physics-Electrostatics I-70451.png
Work done in placing a charge of 8 × 10–18 C on a condenser of capacity 100 microfarad is
  • 16 × 10–32 J
  • 3.1 × 10–26 J
  • 4 × 10–10 J
  • 32 × 10–32 J
Three capacitors, each of capacity 4µF are to be connected in such a way that the effective capacitance is 6 µF. This can be done by
  • connecting all of them in series
  • connecting all of them in parallel
  • connecting two in series and one in parallel
  • connecting two in parallel and one in series
Six charges, three positive and three negative of equal magnitude are to be placed at the vertices of a regular hexagon, such that the electric field at O is double the electric field when only one positive charge of same magnitude is placed at R. Which of the following arrangement of charges is possible for P, Q, R, S, T and U respectively?
Physics-Electrostatics I-70455.png
  • + - + - - +
  • + - + - + -
  • + + - + - -
  • - + + - + -
As per Fig., a point charge +q is placed at the origin O. Work done in taking another point charge – Q from the point A [coordinates (0, a)] to another point B [coordinates (a, 0)] along the straight path AB is:
Physics-Electrostatics I-70456.png

  • Physics-Electrostatics I-70457.png
  • Zero

  • Physics-Electrostatics I-70458.png

  • Physics-Electrostatics I-70459.png
Two point charges +8 q and – 2 q are located at x = 0 and x = L respectively. The location of a point on the x axis at which the net electric field due to these two point charges is zero is
  • 4L
  • 8L
  • L/4
  • 2L
Fig. shows four plates each of area A and separated from one another by a distance d. What is the capacitance between P and Q?
Physics-Electrostatics I-70462.png

  • Physics-Electrostatics I-70463.png
  • 2)
    Physics-Electrostatics I-70464.png

  • Physics-Electrostatics I-70465.png

  • Physics-Electrostatics I-70466.png
A number of condensers, each of the capacitance 1µF and each one of which gets punctured if a potential difference just exceeding 500 V is applied, are provided. An arrangement suitable for giving capacitance of 2µF across which 3000 volt may be applied requires at least
  • 6 component capacitors
  • 12 component capacitors
  • 72 component capacitors
  • 2 component capacitors
In the circuit shown in Fig., O is connected to point A to charge the capacitor 4 µF. Now, the connection of O is switched to B. The charge on the 4µF capacitor thereby changes by a factor
Physics-Electrostatics I-70469.png
  • 2/3
  • ¾
  • 1
  • 1/3
Two identical particles of charge q each are connected by a mass less spring of force constant K. They are placed over a smooth horizontal surface. They are released when separation between them is r and the spring is unstretched. If maximum extension of the spring is r, the value of K, neglecting gravitational effects is
Physics-Electrostatics I-70470.png

  • Physics-Electrostatics I-70471.png
  • 2)
    Physics-Electrostatics I-70472.png

  • Physics-Electrostatics I-70473.png

  • Physics-Electrostatics I-70474.png
In the circuit shown, the final voltage drop across the capacitor C is
Physics-Electrostatics I-70476.png

  • Physics-Electrostatics I-70477.png
  • 2)
    Physics-Electrostatics I-70478.png

  • Physics-Electrostatics I-70479.png

  • Physics-Electrostatics I-70480.png
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