Jee 2014 Booklet6 Hwt Capcitors
March 30, 2017 | Author: varunkohliin | Category: N/A
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Vidyamandir Classes DATE :
TIME : 40 Minutes
MARKS : [ ___ /15]
TEST CODE : CAP [1]
START TIME :
END TIME :
TIME TAKEN:
PARENT’S SIGNATURE :
This test contains a total of 15 Objective Type Questions. Each question carries 1 mark. There is NO NEGATIVE marking. Choose the correct alternative. Only one choice is correct. 1.
A 2 F capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch s is turned to position 2 is :
2.
(A)
0%
(B)
20%
(C)
75%
(D)
80%
An electron enters the space between the plates of a charged capacitor as shown. The charge density on the plate is . Electric intensity in the space between the plates is E. a uniform magnetic field B also exists in the space perpendicular of E. The electron moves perpendicular to both E and B without any change in direction. The time taken by the electron to travel a distance l in the space is : (A)
3.
4.
l 0B
(B)
B 0l
In a parallel plate capacitor, the capacity increases if : (A) area of the plate is decreased (C) area of the plate is increased
(C)
0lB
(B) (D)
distance between the plates increase dielectric constant decrease
(D)
0l B
Capacity of a capacitor is 48 F . When it is charged from 0.1C to 0.5C, change in the energy stored is : (A)
2500 J
(B)
2.5 103 J
(C)
2.5 106 J
(D)
2.42 102 J
5.
A capacitor of capacitance C is charged to a potential V. The flux of the electric field through a closed surface enclosing the capacitor is : CV 2CV CV (A) (B) (C) (D) zero 0 0 2 0
6.
Two plates are 20 cm apart and the potential difference between them is 10V. The electric field between the plates is : (A)
7.
(B)
500 Vm 1
(C)
0.5Vm 1
(D)
20Vm 1
(D)
R
The capacitance of an isolated conducting sphere of radius R is proportional to : (A)
8.
50Vm 1
R 1
(B)
R2
(C)
R 2
A capacitor of capacity 10 F is charged to a potential of 400V. When its both plates are connected by a conducting wire, then heat generated will be : (A)
9.
80 J
(B)
0.8 J
(C)
8 103 J
(D)
8 106 J
An air capacitor is charged with an amount of charge q and dipped into an oil tank. If the oil is pumped out, the electric field between the plates of capacitor will : (A) increase (B) decrease (C) remain the same (D) become zero
VMC/Electrostatics
60
HWT-6/Physics
Vidyamandir Classes 10.
A 5.0 F capacitor is charged to a potential difference of 800 V and discharged through a conductor. The energy given to the conductor during the discharge is : (A)
11.
1.67 102 j
(B)
3.2 J
(C)
1.6 J
(D)
4.2 J
The charged deposited on F capacitor the circuit is : (A)
6 106 C
(B)
12 106 C
(C)
24 106 C
(D)
36 106 C
12.
C, V, U and Q are capacitance, potential difference, energy stored and charge of a parallel plate capacitor dielectric slab is introduced between the plates without disconnecting the battery are : (A) V and C (B) V and U (C) U and Q (D) V and Q
13.
Two positive point charges of 123 C and 5 C are placed 10 cm apart in air. The work needed to bring them 4 cm closer is : (A)
14.
2.4 J
(B)
3.6 J
(C)
1.6 J
(D)
6.0 J
A 20 F capacitor is connected to 45 V battery through a circuit whose resistance is 2000Ω . What is the final charge on the capacitor ? (A)
15.
9 104 C
(B)
9.154 104 C
(C)
9.8 104 C
(D)
None of these
A capacitor of capacitance value 1 F is charged to 30 V and the battery is then disconnected. If the remaining circuit is connected across a 2 F capacitor, the energy lost by the system is : (A)
300 J
VMC/Electrostatics
(B)
450 J
(C)
61
225 J
(D)
150 J
HWT-6/Physics
Vidyamandir Classes DATE :
TIME : 25 Minutes
MARKS : [ ___ /15]
TEST CODE : CAP [2]
START TIME :
END TIME :
TIME TAKEN:
PARENT’S SIGNATURE :
This test contains a total of 15 Objective Type Questions. Each question carries 1 mark. There is NO NEGATIVE marking. Choose the correct alternative. Only one choice is correct. 1.
64 identical spheres of charge q and capacitance c each are combined to form a large sphere. the charge and capacitance of the large sphere is : (A) 64,q, C (B) 16q, 4C (C) 64q, 4C (D) 16q, 64C
2.
a cylindrical capacitor has charge q and length L. If both the charge and length of the capacitors are doubled, by keeping other parameters fixed, the energy stored in the capacitor (A) remains same (B) increase two times (C) decreases two times (D) increases four times
3.
A parallel plate air capacitor has a capacitance C. When it is half filled with a dielectric of dielectric constant 5, the percentage increase in the capacitance will be : (A) 400% (B) 66.6% (C) 33.3% (D) 200%
4.
The energy required to charge a parallel plate condenser of plate separation d and plate area of cross-section a such that the uniform electric field between the plates is E, is: (A)
5.
6.
1 0 E2 2 Ad
0E 2 Ad
(C)
0 E 2 Ad
(D)
1 0 E 2 Ad 2
In given circuit when switch s has been closed then charge on capacitor A and B respectively are (A) 3q, 6q (B) 6q, 3q (C) 4.5q, 45q (D) 5q, 4q A 500 F capacitor is charged at a steady rate of 100 Cs 1 . The potential difference across the capacitor will be 10V after an interval of (A) 5s
7.
(B)
(B)
25s
(C)
20 s
(D)
50 s
The capacitance of a parallel plate capacitor with air medium is 3 F . With the introduction of a dielectric medium between the plates, the capacitance become 15 F . The permittivity of the medium is : (A)
5C 2 N 1m 2
(B)
15C 2 N 1m 2
(C)
0.44 1010 C 2 N 1m 2
(D)
8.854 1011C 2 N 1m 2
8.
A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the battery will be : (A) 1 (B) 2 (C) 1/4 (D) 1/2
9.
A parallel plate condenser with a dielectric of dielectric constant K between the plates has a capacity C and is charged to a potential V volt. the dielectric slab is slowly removed from between the plates and then reinserted. the net work done by the system in this process is : 1 (A) CV 2 K 1 / K (C) (D) zero K 1 CV 2 (B) K 1 CV 2 2
VMC/Electrostatics
62
HWT-6/Physics
Vidyamandir Classes 10.
Capacitance of a capacitor made by a thin metal foil is 2 F . If the foil is folded with paper of thickness 0.15mm , dielectric constant of paper is 2.5 and width of paper is 400 mm, the length of foil will be : (A) 0.34 m (B) 1.33 m (C) 13.4 m
11.
(D)
33.9 m
Two identical capacitors each of capacitance 5 F are charged to potentials 2kV and 1 kV respectively. Their ve ends are connected together. When the +ve ends are also connected together, the loss of energy of system is : (A) 160 J (B) zero (C) 5J (D) 1.25 J
12.
The plates of a parallel plate capacitor with air as medium are separated by a distance of 8 mm. a medium of dielectric constant 2 and thickness 4 mm having the same area is introduced between the plates. for the capacitance to remain the same, the distance between the plate is : (A) 8 mm (B) 6 mm (C) 4 mm ` (D) 12 mm
13.
What is the potential difference between points A and B in the3 circuit shown?
14.
(A)
2V
(B)
4V
(C)
3V
(D)
12 V
What is the potential difference across 2 F capacitor in the circuit shown? (A) (C)
15.
12 V 6V
(B) (D)
4V 18 V
In a capacitor of capacitance 20 F the distance between the plates is 2 mm. If a dielectric also of width 1 mm and dielectric constant 2 is inserted between the plates, then the new capacitance will be : 22 F 26.6 F 52.2 F (A) (B) (C)
VMC/Electrostatics
63
(D)
13 F
HWT-6/Physics
Vidyamandir Classes DATE :
TIME : 25 Minutes
MARKS : [ ___ /15]
TEST CODE : CAP [3]
START TIME :
END TIME :
TIME TAKEN:
PARENT’S SIGNATURE :
This test contains a total of 15 Objective Type Questions. Each question carries 1 mark. There is NO NEGATIVE marking. Choose the correct alternative. Only one choice is correct. 1.
An automobile spring extends 0.2 m for 5000 N load. The ratio of potential energy stored in this spring when stored in a 10 F capacitor at a potential difference of 10000 V will be: (A)
1/4
(B)
1
(C)
1/2
(D)
2
2.
A parallel plate capacitor of capacitance 100 pF is to be constructed by using paper sheets of 1 mm thickness as dielectric. If the dielectric constant of paper is 4, the number of circular metal foils of diameter 2 cm each required to the purpose is : (A) 40 (B) 20 (C) 30 (D) 10
3.
A parallel plate condenser with oil (dielectric constant 20 between the plates has capacitance C . If oil is removed, the capacitance of capacitor becomes. C C 2C (A) (B) 2C (C) (D) 2 2
4.
A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor (A) decreases (B) remains uncharged (C) becomes infinite (D) increases
5.
The work done in placing a charge of 8 1018 C on a condenser of capacity 100 F is : (A)
6.
(B)
3.1 1026 J
(C)
4 1010 J
(D)
32 1032
A dielectric of dielectric constant K is introduced such that half of its area of a capacitor of capacitance C is occupied by it. The new capacity is : (A)
7.
16 1032 J
2C
(B)
C 2
(C)
1 K C 2
(D)
2C 1 K
Two insulating plates are both uniformly charged in such a way that the potential difference between them is V2 V1 20V . (ie, plate 2 is at higher potential). the plates are separated by d = 0.1m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2? (e = 1.6 1019 C m0 9.11 1031 kg ) (A)
8.
2.65 106 ms 1
7.02 1012ms 1
(C)
1.87 106 ms 1
(D)
32 1019 ms 1
In the capacitor shown in the circuit is charged to 5V and left in the circuit, in 12s the charge on the capacitor will become : 10 e C C (A) (B) e 10 (C)
10 e
9.
(B)
2
C
(D)
e2 C 10
An uncharged sphere of metal is placed inside a charged parallel plate capacitor. The lines of force will look like :
(A)
VMC/Electrostatics
(B)
(C)
64
(D)
HWT-6/Physics
Vidyamandir Classes 10.
In the given figure, a hollow spherical capacitor is shown. the electric field will not be zero at : (A) r r1 (B)
r1 R2
(C)
r r2
(D)
r1 r r2
11.
If the plates of a parallel plate capacitor are not equal in area, then quantity of charge (A) on the plates will be same but nature of charge will differ (B) on the plates as well as nature of charge will be different (C) on the plates will be different but nature of charge will be same (D) as well as nature of charge will be same
12.
A fully charged capacitor has a capacitance C. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity s and mass m. If the temperature of the block is raised by ΔT , the potential difference V across the capacitance is : (A)
2mCΔ T s
(B)
mCΔT s
(C)
msΔT C
(D)
2msΔT C
13.
An air filled parallel plate capacitor has capacity of 2pF. The separation of the plates is doubled and the interspaces between the plates is filled with wax. If the capacity is increased to 6pF, the dielectric constant of wax is : (A) 2 (B) 3 (C) 4 (D) 6
14.
Three capacitors C1 C2 and C3 are connected as shown in the figure to a battery of V volt. If the capacitor C3 breaks down electrically the change in total charge on the combination of capacitor is :
C3 C1 C2 C3
C1 C2 V 1
(B)
C1 C2 V 1
(C)
(D)
15.
(A)
C1 C2
C1 C2 C3 C3 C1 C2 V 1 C1 C2 C3 C2 C1 C2 C3
C1 C2 V 1
If eight similar charge drops combine to form a bigger drop, then the ratio of capacitance of bigger drop to that of smaller drop will be : (A) 2:1 (B) 8:1 (C) 4:1 (D) 16 : 1
VMC/Electrostatics
65
HWT-6/Physics
Vidyamandir Classes DATE :
TIME : 40 Minutes
MARKS : [ ___ /15]
TEST CODE : CAP [4]
START TIME :
END TIME :
TIME TAKEN:
PARENT’S SIGNATURE :
This test contains a total of 15 Objective Type Questions. Each question carries 1 mark. There is NO NEGATIVE marking. Choose the correct alternative. Only one choice is correct. 1.
The plates of a parallel plate capacitor are charged upto 200 V. A dielectric slab of thickness 4mm is inserted between its plates. Then, to maintain the same potential difference between the plates of the capacitor, the distance between the plates is increased by 3.2mm. the dielectric constant of the dielectric slab is : (A) 1 (B) 4 (C) 5 (D) 6
2.
The energy stored in a capacitor is in the form of (A) kinetic energy (B) potential energy
3.
4.
(C)
elastic energy
(D)
On increasing the plate separation of a charged capacitor, the energy (A) increases (B) decreases (C) remains unchanged (D)
magnetic energy
becomes zero
Three capacitors of capacitance 1 F 2 F and 3 F are connected in series and a potential difference of 11V is applied across the combination. Then, the potential difference across the plate of 1 F capacitor is : (A)
5.
2V
(B)
4V
(C)
1V
(D)
Two identical metal plates are given positive charges Q1 and Q2 Q1 respectively. If they are now brought close together to form a parallel plates capacitor with capacitance C, the potential difference between them is : Q1 Q2 Q1 Q2 Q1 Q2 (A) (B) (C) (D) 2C C C Capacitance of a parallel plate capacitor becomes
7.
A parallel plate capacitor of capacity C0 is charged to a potential V0. (i) (ii)
The energy stored in the capacitor when the battery is disconnected and the plate separation is doubled is E1. The energy stored in the capacitor when the charging battery is kept connected and the separation between the capacitor E plates is doubled is E2 . Then 1 value is E2
(A)
4/1
(B)
3/2
(C)
2
(D)
1/2
When two conductors of charge and potentials C1V1 and C2 V2 respectively are joined, the common potential will be : (A)
9.
Q1 Q2 2C
4 d times its original value, if a dielectric slab of thickness t inserted 3 2 between the plate [d is the separation between the plates]. The dielectric constant of the slab is : (A) 4 (B) 8 (C) 2 (D) 6
6.
8.
6V
C1V1 C2V2 V1 V2
(B)
C1V12 C2V22 V12 V22
In a charged capacitor the energy stored in : (A) the positive charge (C) the field between the plates
VMC/Electrostatics
(C)
C1 C2
(B) (D)
the negative charge None of the above
66
(D)
C1V1 C2V2 C1 C2
HWT-6/Physics
Vidyamandir Classes 10.
In the given network, the value of C, so that an equivalent capacitance between A and B is 3 F is : (A) (B) (C) (D)
11.
36 F 31 F 5 48 F 1 F 5
Minimum number of 8 F and 250 BV capacitors are used to make a combination of 16 F and 1000 V are : (A)
4
(B)
C
(C)
1 C 2
(D)
None of these
12.
The equivalent capacitance of the combination shown in figure below is : (A) 2C (B) C 1 C (C) (D) None of these 2
13.
The energy of a charged capacitor is U. Another identical capacitor is connected parallel to the first capacitor, after disconnecting the battery. The total energy of the system of these capacitor will be : (A)
14.
U 4
(B)
U 2
(C)
3U 2
(D)
2U 4
Across each of two capacitors of capacitances 1 F and 4 F , a potential difference of 10 V is applied. Then positive plate of one is connected to the negative plate of the other, and negative plate of one is connected to the positive plate of the other. After contact. (A) Charge on each is zero (B) Charge on each is same but non-zero (C) Charge on each is different but non-zero (D) None of the above
15.
The equivalent capacitance between points A and B for the combination of capacitor shown in figure. where all capacitances are in microfarad is : 6 .0 F (A) (B)
4 .0 F
(C)
2 .0 F
(D)
3 .0 F
VMC/Electrostatics
67
HWT-6/Physics
Vidyamandir Classes DATE :
TIME : 40 Minutes
MARKS : [ ___ /15]
TEST CODE : CAP [5]
START TIME :
END TIME :
TIME TAKEN:
PARENT’S SIGNATURE :
This test contains a total of 15 Objective Type Questions. Each question carries 1 mark. There is NO NEGATIVE marking. Choose the correct alternative. Only one choice is correct. 1.
2.
3.
Equivalent capacitance between A and B is : 14 F (A) (B)
4 F
(C)
6 F
(D)
2 F
The effective capacitance between points A and B is : 9 F (A) (B)
5 F
(C)
6 F
(D)
8 F
Three capacitors of capacitance C ( F ) are connected in parallel to which a capacitor of capacitance C is connected in series. Effective capacitance is 3.75, then capacity of each capacitor is : 4 F 7 F (A) (B) (C)
4.
6 F
(D)
8
Two capacitors of capacitance 2 F and 4 F respectively are connected in series. The combination is connected across a potential difference of 10V. The ratio of energies stored by capacitors will be : (A)
5.
1 2
(B)
2:1
(C)
(A)
7.
(D)
4:1
A parallel plate capacitor with air between the plates has a capacitance of pF . The separation between its plates is d. The space between the plates is now filled with two dielectrics. One of the dielectric has dielectric constant K1 3 and thickness d/3 while the other one has dielectric constant K 2 6 and thickness
6.
1:4
1.8 pF
(B)
48 pF
2d . Capacitance of the capacitor is now. 3 (C) 40.5 pF (D) 20.25 pF
The total energy stored in the condenser system shown in the figure will be : 2 J (A) (B)
4 J
(C)
8 J
(D)
16 J
Four plates of equal area A are separated by equal distance d and are arranged as shown in the figure. The equivalent capacity is : (A)
2 0 A d
(B)
3 0 A d
(C)
3 0 A 2d
(D)
0 A d
VMC/Electrostatics
68
HWT-6/Physics
Vidyamandir Classes 8.
Two parallel plates of area A are separated by two different dielectric as shown in figure. The net capacitance is : (A)
0 A 2d
(B)
0 A d
(C)
3 0 A d
(D)
4 0 A 3d
9.
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 5cm2. The capacity of the unit is : (A) 1.06 pF (B) 4 pF (C) 6.36 pF (D) 12.72 pF
10.
A capacitor of capacitance 1 F is filled with two dielectrics of dielectric constant 4 and 6. What is the new capacitance?
11.
12.
13.
(A)
10 F
(B)
5 F
(C)
4 F
(D)
7 F
Four capacitors are connected in a circuit as shown in the following figure. Calculate the effective capacitance between the points A and B. (A)
4 F 3
(B)
24 F 5
(C)
9 F
(D)
5 F
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 plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be : (A)
K 3
C 4
(B)
K 2
(C)
K 1
C 4
(D)
KC 4
C 4
A network of six identical capacitors, each of value C, is made as shown in the figure. The equivalent capacitance between the points A and B is : 4C 3C (A) (B) 11 4 (C)
3C 2
VMC/Electrostatics
(D)
3C
69
HWT-6/Physics
Vidyamandir Classes 14.
15.
Effective capacitance between points A and B in the figure, shown in : (A)
3 F 14
(B)
14 F 3
(C)
21 F
(D)
23 F
Three capacitors of capacitances 1 F 2 F and 4 F are connected first in a series combination, and then in a parallel combination. The ratio of their equivalent capacitances will be : (A) 2 : 49 (B) 49 : 2 (C)
VMC/Electrostatics
70
4 : 49
(D)
49 : 4
HWT-6/Physics
Vidyamandir Classes DATE :
TIME : 40 Minutes
MARKS : [ ___ /15]
TEST CODE : CAP [6]
START TIME :
END TIME :
TIME TAKEN:
PARENT’S SIGNATURE :
This test contains a total of 15 Objective Type Questions. Each question carries 1 mark. There is NO NEGATIVE marking. Choose the correct alternative. Only one choice is correct. 1.
2.
The equivalent capacitance of the combination of the capacitors is : (A) 3.20 F (B)
7.80 F
(C)
3.90 F
(D)
2.16 F
Each capacitor shown in figure is 2 F . Then the equivalent capacitance between points A and B is : 2 F (A) (B)
3.
(C)
6 F
(D)
8 F
The equivalent capacitance between the points A and B in the following circuit is : 1 F 2 F (A) (B) (C)
4.
4 F
(D)
8 F
Three capacitors 2, 3 and 6 F are joined with each other. What is the minimum effective capacitance? (A)
5.
4 F
1 F 2
(B)
1 F
(C)
2 F
(D)
3 F
Three plates of common surface area A are connected as shown. The effective capacitance will be : 0 A 3 0 A (A) (B) d d (C)
3 0 A 2 d
(D)
2 0 A d
6.
As shown in figure, if the point C is earthed and the point A is given a potential of 2000 V, then the potential at point B will be : (A) 400 V (B) 500 V (C) 1000 V (D) 1300 V
7.
A hollow cylinder has a charge q coulomb within it. If is the electric flux in unit of voltmeter associated with the curved surface B, the flux linked with the plane surface A in unit of voltmeter will be : (A) (C)
1 q 2 0 q 0
VMC/Electrostatics
(B)
q 2 0
(D)
q 0
71
HWT-6/Physics
Vidyamandir Classes 8.
A charge q is placed at the corner of a cube of side a. The electric flux through the cube is : (A)
9.
q 0
(B)
q 3 0
(C)
q 6 0
(D)
q 8 0
The electric flux for Gaussian surface A that enclose the charged particles in free space is : (Given q1 14nC q2 78.85 nC q3 56nC )
(A)
103 Nm 2C 1
(B)
103 CN 1m 2
(C)
6.32 103 Nm 2C 1
(D)
6.32 103 CN 1m 1
10.
Consider the charge configuration and a spherical Gaussian surface as shown in the figure. When calculating the flux of the electric field over the spherical surface, the electric field will be due to : (A) q2 (B) Only the positive charge (C) all the charges (D) q1 and q1
11.
A cylinder radius r and length l is placed in an uniform electric field E parallel to the axis of the cylinder. The total flux for the surface of the cylinder is given by : (A)
12.
zero
(B)
2 r 2 E
(C)
r 2E
(D)
r
2
l2 E
The inward and outward electric flux from a closed surface are respectively 8 103 and 4 103 units. Then the net charge inside the closed surface is : (A)
4 103 C
(B)
4 103 C
(C)
4 103 C 0
(D)
4 103 0C
13.
What about Gauss theorem is not incorrect? (A) It can be derived by using Coulomb's law (B) It is valid for conservative field, obeys inverse square root law (C) Gauss theorem is not applicable in gravitation (D) Both (A) and (B)
14.
The electric flux through a closed surface area S enclosing charge Q is . If the surface area is double, then the flux is : (A)
15.
2
(B)
/2
(C)
/4
(D)
A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral. (A) a potential difference appears between the two cylinders when a charge density is given to the inner cylinder (B) a potential difference appears between the two cylinders when a charge density is given to the outer cylinder (C) no potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders (D) no potential difference appears between the two cylinders when same charge density is given to both the cylinders
VMC/Electrostatics
72
HWT-6/Physics
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