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JEE Questions for Physics Electrostatics I Quiz 14 - MCQExams.com
JEE
Physics
Electrostatics I
Quiz 14
The equivalent capacitance between A and B in the figure is 1 µF. Then, the value of capacitance C is
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1.4 µF
0%
2.5 µF
0%
3.5 µF
0%
1.2 µF
The effective capacitance between the points P and Q of the arrangement shown in the figure is
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0%
0%
2)
0%
0%
A capacitor of capacitance 5 µF is connected as shown in the figure. The internal resistance of the cell is 0.5 Ω. The amount of charge on the capacitor plate is
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0 µC
0%
5 µC
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10 µC
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25 µC
Choose the incorrect statement from the following When two identical capacitors are charged individually to different potentials and connected parallel to each other after disconnecting them from the source
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Net charge equals the sum of initial charges
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The net energy stored in the two capacitors is less than the sum of the initial individual energies
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The net potential difference across them is difference from the sum of the individual initial potential difference
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The net potential difference across them equals the sum of the individual initial potential differences
The charge on a capacitor of capacitance 10 µF connected as shown in the figure is
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20 µC
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15 µC
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10 µC
0%
Zero
The resultant capacitance of given circuit is
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3 C
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2 C
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C
0%
c/3
Three plates A, B, C each of area 50 cm
2
have separation 3 mm between A and B and 3 mm between B and C. The energy stored when the plates are fully charge is
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1.6 × 10–9 J
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2.1 × 10–9 J
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5 × 10–9 J
0%
7 × 10–9 J
A capacitor of 20 µF is charged to 500 volts and connected in parallel with another capacitor of 10 µF and charged to 200 volts. The common potential is
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200 volts
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300 volts
0%
400 volts
0%
500 volts
What is the effective capacitance between A and B in the following figure?
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1 µF
0%
2 µF
0%
1.5 µF
0%
2.5 µF
Ten capacitor are joined in parallel and charged with a battery up to a potential V. They are then disconnected from battery and joined again in series then the potential of this combination will be
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0%
V
0%
10V
0%
5V
0%
2V
In the circuit here, the steady state voltage across capacitor C is a fraction of the battery e.m.f. The fraction is decided by
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0%
R1 only
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R1 and R2 only
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R1 and R3 only
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R1, R2 and R3
Two capacitors A and B are connected in series with a battery as shown in the figure. When the switch S is closed and the two capacitor get charged fully, then
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The potential difference across the plates of A is 4Vs and across the plates of B is 6V
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The potential difference across the plates of A is 6V and across the plates of B is 4V
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The ratio of electrical energies stored in A and B is 2 : 3
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The ration of charges A and B is 3 : 2
Equivalent capacitance between A and B is
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10/3 µF
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8 µF
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6 µF
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26 µF
A parallel plate capacitor with air as the dielectric has capacitance C. A slab of dielectric constant K and having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be
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0%
0%
2)
0%
0%
Two capacitors C1 = 21.1F and C2 = 6 g in series, are connected in parallel to a third capacitor C3 = 4 g. This arrangement is then connected to a battery of e.m.f. = 2 V, as shown if the figure. How much energy is lost by the battery in charging the capacitors?
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0%
0%
2)
0%
0%
Two identical capacitors each of capacitance 5 µF are charged to potential 2 kV and 1 kV respectively. The –ve ends are connected together. When the + ve ends are also connected together, the loss of energy of the system is
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160 J
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0 J
0%
5 J
0%
1.25 J
An electric field is spread uniformly in Y–axis. Consider a point A as origin point. The co-ordinates of point B are equal to (0,m. The co-ordinates of point C are (2,m. At points A, B and C, electric potentials are V
A
, V
B
and V
C
respectively. From the following options, which is correct
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VA = VC < VB
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VA = VB = VC
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VA = VB > VC
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VA = VC > VB
Two capacitors C
1
and C
2
= 2C
1
are connected in a circuit with a switch between them as shown in the figure. Initially the switch is open and C
1
holds charge Q. The switch is closed. At steady state, the charge on each capacitor will be
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Q, 2Q
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Q / 3, 2Q / 3
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3Q/2,3Q
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2 Q/3, 4 Q/3
Two capacitors of capacitances 3 µF and 6 µF are charged to a potential of 12 V each. They are now connected to each other, with the positive plate of each joined to the negative plate of the other. The potential difference across each will be
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0%
6 volt
0%
4 volt
0%
3 volt
0%
Zero
Two identical capacitors, have the same capacitance C. One of them is charged potential V
1
and the other to V
2
. The negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the combined system is
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0%
0%
2)
0%
0%
In a given network the equivalent capacitance between A and B is [C
2
= C
4
= 1 µF, C
2
= C
3
= 2 µF]
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3 µF
0%
6 µF
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4.5 µF
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2.5 µF
A gang capacitor is formed by interlocking a number of plates as shown in figure. The distance between the consecutive plates is 0.885 cm and the overlapping area of the plates is 5 cm
2
. The capacity of the unit is
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1.0
0%
4 pF
0%
6.36 pF
0%
12.72 pF
In the circuit as shown in the figure the effective capacitance between A and B is
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3 µF
0%
2 µF
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4 µF
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8 µF
Four equal capacitors, each of capacity C, are arranged as shown. The effective capacitance between A and B is
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0%
0%
2)
0%
0%
In the figure shown, the effective capacitance between the points A and B, if each has capacitance C, is
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0%
0%
2)
0%
0%
Three capacitors of capacitance 3 µF are connected in a circuit. Then their maximum and minimum capacitances will be
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9 µF, 1 µF
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8 µF, 2 µF
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9 µF, 0 µF
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3µF, 2 µF
A series combination of three capacitors of capacities 1 µF, 2 µF and 8 µF is connected to a battery of e.m.f. 13 volt. The potential difference across the plates of 2µF capacitor will be
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1 V
0%
8 V
0%
4 V
0%
The equivalent capacitance between A and B as shown in the figure is
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0%
0%
2)
0%
0%
All capacitors used in the diagram are identical and each is of capacitance C. Then the effective capacitance between the points A and B is
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1.5 C
0%
6 C
0%
C
0%
3 C
n identical capacitors each of capacitance C when connected in parallel give the effective capacitance 90 µF and when connected in series give 2.5 µF. Then, the values of n and C respectively are
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6 and 15 µF
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5 and 18 µF
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15 and 6 µF
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18 and 5 µF
The number of ways one can arrange three identical capacitors to obtain distinct effective capacitances is
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8
0%
6
0%
4
0%
3
Three capacitors are connected in the arms of a triangle ABC as shown in figure 5 V is applied between A and B. The voltage between B and C is
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2 V
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1 V
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3 V
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1.5 V
The potential difference between A and B is
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13.2 V
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–13.2 V
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–6 V
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6 V
Two equal negative charge –q are fixed at the fixed points (0, a) and (0, –a) on the Y-axis. A positive charge Q is released from rest at the point (2a,on the X-axis. The charge Q will
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Execute simple harmonic motion about the origin
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Move to the origin and remain at rest
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Move to infinity
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Execute oscillatory but not simple harmonic motion
An electric line of force in the xy-plane is given by equation x
2
+ y
2
=1. A particle with unit positive charge, initially at rest at the point x = 1, y = 0 in the xy-plane
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Not move at all
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Will move along straight line
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Will move along the circular line of force
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Information is insufficient to draw any conclusion
A positively charged ball hangs from a silk thread. We put a positive test charge q
0
at a point and measure F/q
0
, then it can be predicted that the electric field strength E
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> F/q0
0%
= F/q0
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< F/q0
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Cannot be estimated
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
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0%
0%
2)
0%
0%
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 = 2aq)
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0%
0%
2)
0%
0%
A point charge q is placed at a distance a/2 directly above the centre a square of side a. The electric flux through the square is
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q/ɛ0
0%
q/π ɛ0
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q/4 ɛ0
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q/6 ɛ0
Two identical thin rings each of radius R meters are coaxially placed at a distance R meters apart. If Q
1
coulomb and Q
2
coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge q from the centre of one ring to that of other is
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Zero
0%
2)
0%
0%
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0%
2)
0%
0%
A charge +q is fixed at each of the points x = x
0
, x = 3x
0
, x = 5x
0
.... infinite, on the x-axis and a charge –q is fixed at each of the points x = 2x
0
, x = 4x
0
, x = 6x
0
, .... infinite. Here x
0
is a positive constant. Take the electric potential at a point due to a charge Q at a distance r from it to be Q / (4πɛ
0
r). Then, the potential at the origin due to the above system of charges is
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0%
0
0%
2)
0%
0%
Let C be the capacitance of a capacitor discharging through a resistor R. Suppose t
1
is the time taken for the energy stored in the capacitor to reduce to half its initial value and t
2
is the time taken for the charge to reduce to one-fourth its initial value. Then, the ratio t
1
/ t
2
will be
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0%
2
0%
1
0%
1/2
0%
1/4
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle 30° with each other. When suspended in a liquid of density 0.8g cm
–3
, the angle remains the same. If density of the material of the sphere is 1.6 g cm
–3
, the dielectric constant of the liquid is
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0%
1
0%
4
0%
3
0%
2
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+2
0%
–1
0%
–2
0%
Zero
A negatively charged plate has charge density of 2 × 10
–6
C /m
2
. The initial distance of an electron which is moving towards the plate, cannot strike the plate, if it is having energy of 200 eV
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1.77 mm
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3.51 mm
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1.77 cm
0%
3.51 cm
The charge on 500 cc of water due to protons will be
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6.0 × 1027 C
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2.67 × 107 C
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6 × 1023 C
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1.67 × 1023 C
Electric potential is given byV = 6x – 8xy
2
– 8y + 6yz – 4z
2
Then electric force acting on 2C point charge placed on origin will be
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2 N
0%
6 N
0%
8 N
0%
20 N
The electric field in a region is radially outward with magnitude E = Aγ
0
. The charge contained in a sphere of radius γ
0
centered at the origin is
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0%
0%
2)
0%
0%
Charge q is uniformly distributed over a thin half ring of radius R. The electric field at the centre of the ring is
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0%
0%
2)
0%
0%
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