Q.1
A large circular ring has a uniform positive charge distribution. A negative charge on the axis and close to the centre is related from the rest. The negative charge
  • a) has a uniform acceleration
  • b) move towards the ring
  • c)remains at rest
  • d)executes a simple harmonic motion
Q.2
The speed of electron when accelerated through a potential difference of 5×105 volt is nearly
  • a)4.4×108 m/s
  • b) 2.59×108 m/s
  • c)4.4×108 cm/s
  • d)2.59×108 cm/s
Q.3
The figure shows some of the electric field lines corresponding to an electric field. The figure suggests .. [ MPPMT 1999]
ch-13_que_no-110_img_no1.png
  • a) EA > EB > EC
  • b) EA=EB > EC
  • c)EA=EC > EB
  • d)EA=EC < EB
Q.4
An electric dipole is placed in an electric field generated by a point charge [ MPPMT 1999]
  • a) the net electric force on the dipole must be zero
  • b) the net electric force on the dipole may e zero
  • c)the torque on the dipole due to the field must e zero
  • d)the torque on the dipole due to the field may be zero
Q.5
Two balls with equal charges are in vessel with ice at -10°C at a distance of 25cm from each other. On forming water at 0°C, the balls are brought nearer to 5cm for the interaction between them to be same. If the dielectric constant of water at 0°C is 80, the dielectric constant of ice at -10°C is
  • a) 40
  • b) 3.2
  • c) 20
  • d) 6.4
Q.6
A free proton and free α particle initially at a separation of 1Å are released, the kinetic energy of proton and that of &alpha-particle when at infinite distance, bear a ratio
  • a)1:1
  • b) 1:2
  • c)1:4
  • d)4:1
Q.7
The figure below shows two equipotential surface in X-Y plane for an electric field. The scales are marked. The x-component and y component of electric field in the region of the space where these equipotential lines exist, are respectively
ch-13_que_no-114_img_no1.png
  • a) +100 Vm-1 , -200Vm-1
  • b) -100 Vm-1 , +200Vm-1
  • c)+200 Vm-1 , 100Vm-1
  • d)-200 Vm-1 , -100Vm-1
Q.8
On moving a charge of 20 C by 2cm, 2J of work is done, then the potential difference between the points is [ AIEEE 2002]
  • a) 0.1V
  • b) 8.0V
  • c)2V
  • d)0.5 V
Q.9
If there are n capacitors in parallel connected to V volt source., then the energy stored is equal to [ AIEEE 2002]
  • a) CV
  • b) ½ n CV2
  • c) CV2
  • d) (1/2n) CV2
Q.10
A charged particle q is placed at the centre O of cube of length L ( ABCDEFGH). Another same charge q is placed at a distance L from O. Then the electric flux through ABCD is [ AIEEE 2002]
ch-13_que_no-117_img_no1.png
  • a)q/ 4ΠεoL
  • b) zero
  • c)q/ 2ΠεoL
  • d)q/ 3ΠεoL
Q.11
If the electric flux entering and leaving an enclosed surface respectively is φ1 and φ2, the electric charge inside the surface will be [ AIEEE 2003]
  • a) ( φ2 - φ1)εo
  • b)( φ2 + φ1) / εo
  • c)( φ2 - φ1) / εo
  • d)( φ2 + φ1)εo
Q.12
A sheet of aluminum foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor [ AIEEE 2003]
  • a) decreases
  • b) remains unchanged
  • c) becomes infinite
  • d) increases
Q.13
A thin spherical conducting shell of radius R has a charge q. Another charge Q is placed at the centre of the shell. The electrostatic potential at a point P a distance R/2 from the centre of the shell is [ AIEEE 2003]
  • a)
    ch-13_qn-121choice_img_no1.png
  • b)
    ch-13_qn-121choice_img_no2.png
  • c)
    ch-13_qn-121choice_img_no3.png
  • d)
    ch-13_qn-121choice_img_no4.png
Q.14
Three charges -q1, +q2 and -q3 are placed as shown in the figure. The x-component of the force on -q1 is proportional to ..[ AIEEE 2003]
ch-13_que_no-123_img_no1.png
  • a)
    ch-13_qn-123choice_img_no1.png
  • b)
    ch-13_qn-123choice_img_no2.png
  • c)
    ch-13_qn-123choice_img_no3.png
  • d)
    ch-13_qn-123choice_img_no4.png
Q.15
Two spherical conductors B and C having equal radii and carrying equal charges on them repel each other with a force F when kept apart at some distance. A third spherical conductor having same radius as that B but uncharged is brought in contact with B, then brought in contact with C and finally removed away from both. The new force of repulsion between B and C is [ AIEEE 2004]
  • a) F/8
  • b) 3F/4
  • c) F/4
  • d) 3F/8
Q.16
A charged particle 'q' is shot towards another charged particle 'Q' which is fixed, with a speed 'v'. It approaches 'Q' up to a closest distance r and then returns. If q were given a speed of 2v the closest distance of approach would be [ AIEEE 2004]
  • a)r/2
  • b) 2r
  • c)r
  • d)r/4
Q.17
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 [ AIEEE 2004]
  • a)
    ch-13_qn-126choice_img_no1.png
  • b)
    ch-13_qn-126choice_img_no2.png
  • c)
    ch-13_qn-126choice_img_no3.png
  • d)
    ch-13_qn-126choice_img_no4.png
Q.18
Two point charges +8q and -2q 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 [ AIEEE 2005]
  • a) L/4
  • b) 2L
  • c) 4L
  • d) 8L
Q.19
Two think rings each having a radius R are placed at a distance d apart with their axes coinciding. The charges on the two rings are +Q and -Q. The potential difference between the centres of the two rings is [ AIEEE 2005]
  • a)
    ch-13_qn-129choice_img_no1.png
  • b)
    ch-13_qn-129choice_img_no2.png
  • c)
    ch-13_qn-129choice_img_no3.png
  • d)zero
Q.20
A parallel plate capacitor is made by staking n equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is C then the resultant capacitance is [ AIEEE 2005]
  • a) ( n+1) C
  • b) ( n-1)C
  • c)nC
  • d)C
Q.21
A charged ball B hangs from a silk thread S, which makes an angle θ with a large charged conducting sheet P, as shown in the figure. The surface charge density σ of the sheet is proportional to [ AIEEE 2005]
ch-13_que_no-131_img_no1.png
  • a)cotθ
  • b) cosθ
  • c)tanθ
  • d)sinθ
Q.22
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 [ AIEEE 2005]
  • a)
    ch-13_qn-132choice_img_no1.png
  • b)
    ch-13_qn-132choice_img_no2.png
  • c)
    ch-13_qn-132choice_img_no3.png
  • d)
    ch-13_qn-132choice_img_no4.png
Q.23
An electric dipole is placed at an angle of 30° to a non-uniform electric field. The dipole will experience [ AIEEE 2006]
  • a)a translational force only in the direction of the field
  • b) a translational force only in a direction norml to the direction of the field
  • c)a torque as well as translational force
  • d)torque only
Q.24
Two spherical conductors A and B of radii 1mm and 2mm are separated by a distance of 5cm and are uniformly charged. If the spheres are connected by the conducting wire then in equilibrium condition, the ratio of the magnitude of the electric field as the surfaces of the spheres A and B is [ AIEEE 2006]
  • a) 4:1
  • b) 1:2
  • c)2:1
  • d)1:4
Q.25
An electric charge 10-3 µC is placed at the origin ( 0, 0) of X-Y co-ordinate system. Two points A and B are situated at ( √2, √2) and ( 2, 0) respectively. The potential difference between the points A and B will be [ AIEEE 2007]
  • a) 4.5 volts
  • b) 9 volts
  • c) zero
  • d) 2 volt
Q.26
Charges are placed on the vertices of a square as shown. Let E be the electric field and V be the potential at the centre. If the charges on A and B are interchanged with those on D and C respectively, then [ AIEEE 2007]
ch-13_que_no-137_img_no1.png
  • a)E changes, V remains unchanged
  • b) E remains unchanged, V changes
  • c)both E and V changes
  • d)E and V remain unchanged
Q.27
The potential at a point x ( measured in µm) due to some charges situated on the x-axis is given by V(x)=20 / (x2 - 4) voltThe electric field E at x=4µm is given by{AIEEE 2007]
  • a) (10/9) V/µm and in the +ve x direction
  • b) (5/3) V/µm and in the -ve x direction
  • c)(5/3) V/µm and in the +ve x direction
  • d)(10/9) V/µm and in the -ve x direction
Q.28
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 plates and then reinserted. The net work done by the system in this process is [ AIEEE 2007]
  • a) zero
    ch-13_qn-139choice_img_no2.png
  • b)
    ch-13_qn-139choice_img_no3.png
  • c)
    ch-13_qn-139choice_img_no4.png
  • d)
Q.29
If gE and gM are the acceleration due to gravity on the surface of the earth and the moon respectively and if Millikan's oil drop experiment could be performed on the two surfaces, one will find the ratioelectronic charge on moon / electronic charge on earth=[ AIEEE 2007]
  • a) gM / gE
  • b) 1
  • c) 0
  • d) gE / gM
Q.30
A parallel plate capacitor with air between the plates has capacitance of 9pF. 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 k2=6 and thickness 2d/Capacitance of capacitor is now [ AIEEE 2008]
  • a)1.8 pF
  • b) 45 pF
  • c)40.5 pF
  • d)20.25 pF
Q.31
A charge Q is placed at each of the opposite corners of a square. A charge q is placed at each of the other two corners. If the net electrical force on Q is zero, then Q/q equals [ AIEEE 2009]
  • a) -1
  • b) 1
  • c)- 1/√2
  • d)-2√2
Q.32
A thin spherical shell of radius R has Q spread uniformly over its surface. Which of the following graphs most closely represents the electric field R(r) produced by the shell in the range 0≤ r < ∞, where r is the distance from the centre of shell? [ AIEEE 2008]
  • a)
    ch-13_qn-143choice_img_no1.png
  • b)
    ch-13_qn-143choice_img_no2.png
  • c)
    ch-13_qn-143choice_img_no3.png
  • d)
    ch-13_qn-143choice_img_no4.png
Q.33
There exists a non-uniform electric field along x axis as shown in figure. the field increases at uniform rate along +Ve x-axis. A dipole is placed inside the field as shown. For the dipole which of the following statement is true
ch-13_que_no-145_img_no1.png
  • a)Dipole moves positive x-axis and undergoes a clockwise rotation
  • b) Dipole moves along negative x-axis and undergoes a clockwise rotation
  • c)Dipole moves along positive x-axis and undergoes an anticlockwise rotation.
  • d)Dipole moves along negative x-axis and undergoes an anticlockwise rotation
Q.34
Two spheres A and B of radius a and b respectively are at the same potential. The ratio the surface charge density of A and B is
  • a) a/b
  • b) b/a
  • c)a² / b²
  • d)b² / a²
Q.35
A uniform wire of length 5m is carrying a steady current. The electric field inside it is 0.2 V/m. The potential difference across the ends of wire is
  • a) 1.0 volt
  • b) 0.5 volt
  • c)0.1 volt
  • d)5 volt
Q.36
A charge is divided into parts q1 and (q-q1). What is the ratio q/q1 so that the force between the two parts placed a given distance apart is maximum?
  • a) 1:1
  • b) 2:1
  • c) 1:2
  • d) 1:4
Q.37
Let P(r)=Qr/ πR4 be the charge density distribution for a solid sphere of radius R and total charge Q. For a point 'p' inside the sphere at distance r1 from the centre of the sphere, the magnitudes of electric field is .. [ AIEEE 2009]
  • a)
    ch-13_qn-149choice_img_no1.png
  • b)
    ch-13_qn-149choice_img_no2.png
  • c)
    ch-13_qn-149choice_img_no3.png
  • d)zero
Q.38
A hollow metal sphere of radius 5cms is charged such that the potential on its surface is 10 Volts. The potential at the centre of the sphere is [ IIT 1983]
  • a) zero
  • b) 10 Volts
  • c)same as at a point 5 cm away from the surface
  • d)same as at a point 25 cm away from the surface
Q.39
Two point charges +q and -q are held fixed at ( -d,0) and (d,0) respectively of a x-y coordinate system. Then [ IIT 1995]
  • a)the electric field E at all points on the x-axis has the same direction
  • b) electric field at all points on y-axis is along x-axis
  • c)Work has to be done in bringing a test charge from ∞ to the origin
  • d)the dipole moment is 2qd along x-axis
Q.40
A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance 2C is similarly charged to a potential difference 2V. The charging battery is now disconnected and capacitor are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal. The final energy of the configuration is [ IIT 1995]
  • a) zero
  • b) (3/2) CV2
  • c) (25/6) CV2
  • d) (9/2) CV2
Q.41
An electron of mass me initially at rest, moves through a certain distance in a uniform electric field in time tA proton of mass mp, also, initially at rest, takes time t2 to move through an equal distance in this uniform electric field. Neglecting the effect of gravity, the ratio t2 / t1 is nearly equal to [ IIT 1997]
  • a)1
  • b) ( mp / me)1/2
  • c)( me / mp)1/2
  • d)1836
Q.42
Two identical metal plates are given positive charge Q 1 and Q2 ( Q2< Q1) respectively. If they are now brought close together to form a parallel plate capacitor with capacitor with capacitance C, the potential difference between them is [ IIT 1999]
  • a)
    ch-13_qn-155choice_img_no1.png
  • b)
    ch-13_qn-155choice_img_no2.png
  • c)
    ch-13_qn-155choice_img_no3.png
  • d)
    ch-13_qn-155choice_img_no4.png
Q.43
For the circuit shown in figure. Which of the following statement is true[ IIT 1999]
ch-13_que_no-156_img_no1.png
  • a) With S1 closed V1=15V, V2=20V
  • b) With S3 closed V1=V2=25V
  • c) With S1 and S2 closed V1=V2=0
  • d) With S1 and S3 closed V1=30V, V2=20V
Q.44
if a capacitor C, 3C, 5C ...∞ is one network and 2C, 4C, 6C ...∞ is another network are connected in series. If the effective capacitance of first network is C1 and that of network second be C2 then C1C2 /(C2 -C1) equal to
  • a) C / log2
  • b) log2/C
  • c) ∞
  • d) (log2)2 / C
Q.45
Three charges Q, +q and +q are placed at the vertices of a right-angled isosceles triangle as shown in figure. The net electrostatic energy of the configuration ia zero if Q is equal to .. [ IIT 2000]
ch-13_que_no-157_img_no1.png
  • a)-q / (1+√2)
  • b) -2q / (2+√2)
  • c)-2q
  • d)+q
Q.46
A parallel plate capacitor of area A, plate separation d and capacitance C is filled with three different dielectric materials having dielectric constants k1, k2 and k3 as shown. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant k is given by [ IIT 2000]
ch-13_que_no-158_img_no1.png
  • a)
    ch-13_qn-158choice_img_no1.png
  • b)
    ch-13_qn-158choice_img_no2.png
  • c)
    ch-13_qn-158choice_img_no3.png
  • d)
    ch-13_qn-158choice_img_no4.png
Q.47
Consider the situation shown in the figure. The capacitor A has a charge q on it whereas B is uncharged. The charge appearing on the capacitor B a long time after the switch is closed is ..[ IIT 2001]
ch-13_que_no-159_img_no1.png
  • a)zero
  • b)q/2
  • c)q
  • d)2q
Q.48
A uniform electric field pointing in positive x-direction exists in a region. Let A be the origin, B be the point on the x-axis at x=+1 cm and C be the point on the y-axis at y=+1cm. Then the potential at the point A, B, and C satisfy [ IIT 2001]
  • a) VA < VB
  • b) VA > VB
  • c) VA < VC
  • d) VA > VC
Q.49
Two equal point charges are fixed at x=-a and x=+a on the x-axis. Another point charge Q is placed at the origin. The change in the elecrical potential energy of Q, when it is displaced by a small distance x along the x-axis, is approximately proportional to [ IIT 2002]
  • a)x
  • b) x2
  • c)x3
  • d)1/x
Q.50
Two identical capacitors, have the same capacitance C. One of them is charged to potential V1 and the other VThe negative ends of the capacitor are connected together. When the positive ends are also connected, the decrease in the energy of the combined system is [ IIT 2002]
  • a)
    ch-13_qn-162choice_img_no1.png
  • b)
    ch-13_qn-162choice_img_no2.png
  • c)
    ch-13_qn-162choice_img_no3.png
  • d)
    ch-13_qn-162choice_img_no4.png
0 h : 0 m : 1 s