The magnitude of the average electric field normally present in the atmosphere just above the surface of the Earth is about
150 N/C, directed inward towards the center of the Earth. This gives the total net surface charge carried by the Earth to be:
+670 kC
 670 kC
 680 kC
+ 680 kC
As we discussed in the concept
Infinite Plane parallel sheets of charge 
If
and
and

Electric Field E = 150 N/C
Total surface charge carried by earth q= ?
As electric field is directed inwards, hence,
Option 1)
+670 kC
Option 2)
 670 kC
Option 3)
 680 kC
Option 4)
+ 680 kC
In the given circuit diagram when the current reaches steady state in the circuit, the charge on the capacitor of capacitance C will be :
As we discussed in concept
where in
at steady state there is no current through r1
Q=
Option 1)
Option 2)
Option 3)
Option 4)
The gap between the plates of a parallel plate capacitor of area A and distance between plates d, is filled with a dielectric whose permittivity varies linearly from at one plate to at the other. The capacitance of capacitor is :
As we discussed in
If K filled between the plates 
 wherein
Option 1)
Option 2)
Option 3)
Option 4)
The electric field in a region of space is given by, where E_{0}=100 N/C. The flux of this field through a circular surface of radius 0.02 m parallel to the YZ plane is nearly :
0.125 Nm^{2}/C
0.02 Nm^{2}/C
0.005 Nm^{2}/C
3.14 Nm^{2}/C
As we discussed in
Electric field \vec{E} through any area \vec{A} 
 wherein
New flux
where
Option 1)
0.125 Nm^{2}/C
Option 2)
0.02 Nm^{2}/C
Option 3)
0.005 Nm^{2}/C
Option 4)
3.14 Nm^{2}/C
A spherically symmetric charge distribution is characterised by a charge density having the following variation :
for r< R
Where r is the distance from the centre of the charge distribution and is a constant. The electric field at an internal point (r < R) is :
As we discussed in comcept
If P lies inside 

where
=
=
Option 1)
Option 2)
Option 3)
Option 4)
A parallel plate capacitor is made of two plates of length l, width w and separated by distance d. A dielectric slab (dielectric constant K) that fits exactly between the plates is held near the edge of the plates. It is pulled into the capacitor by a force where U is the energy of the capacitor when dielectric is inside the capacitor up to distance x (See figure). If the charge on the capacitor is Q then the force on the dielectric when it is near the edge is :
As we discussed in concept
If K filled between the plates 
 wherein
Option 1)
Option 2)
Option 3)
Option 4)
A cone of base radius R and height h is located in a uniform electric field parallel to its base. The electric flux entering the cone is :
As we discussed in the concept
Electric field \vec{E} through any area \vec{A} 
 wherein
Area of facing =
Option 1)
Option 2)
Option 3)
Option 4)
This question has statement 1 and statement 2. Of the four choices given after the statements, choose the one that best describes the two statements.
An insulating solid sphere of radius R has a uniformly positive charge density . As a result of this uniform charge distribution there is a finite value of electric potential at the centre of the sphere, at the surface of the sphere and also at a point out side the sphere. The electric potential at infinity is zero.
Statement 1 : When a charge q is taken from the centre to the surface of the sphere, its potential energy changes by
Statement 2 : The electric field at a distance r(r < R) from the centre of the sphere is
Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for statement 1.
Statement 1 is true, Statement 2 is false
Statement 1 is false, Statement 2 is true
Statement 1 is true, Statement 2 is the correct explanation for statement 1
As we discussed in
If P lies at centre r = 0 
i.e

Potential at the centre of the sphere,
Potential at the surface of the sphere,
When a charge q is taken from the centre to the surface, the change in potential energy is
Statement 1 is false. Statement 2 is true.
Option 1)
Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for statement 1.
Option 2)
Statement 1 is true, Statement 2 is false
Option 3)
Statement 1 is false, Statement 2 is true
Option 4)
Statement 1 is true, Statement 2 is the correct explanation for statement 1
In a uniformly charged sphere of total charge Q and radius R the electric field E is plotted as a function of distance from the centre. The graph which would correspond to the above will be :
: For uniformly charged sphere
As we discussed in
Graph   wherein
The variation of E with distance r from the centre is as shown.
Option 1)
Option 2)
Option 3)
Option 4)
Two capacitors C_{1} and C_{2} are charged to 120 V and 200 V respectively. It is found that by connecting them together the potential of each one can be made zero. Then :
9C_{1} = 4C_{2}
5C_{1} = 3C_{2}
3C_{1} = 5C_{2}
3C_{1} + 5C_{2} = 0
As we discussed in
Parallel Grouping 
 wherein
Option 1)
9C_{1} = 4C_{2}
Option 2)
5C_{1} = 3C_{2}
Option 3)
3C_{1} = 5C_{2}
Option 4)
3C_{1} + 5C_{2} = 0
Two charges, each equal to q, are kept at on the  axis. A particle of mass m and charge is placed at the origin. If charge is given a small displacement  axis,the net force acting on the particle is proportional to :
As we discussed in
Magnitude of the Resultant force 
 wherein
Option 1)
Option 2)
Option 3)
Option 4)
A charge Q is uniformly distributed over a long rod AB of length L, as shown in the figure. The electric potential at the poing O lying at a distance L from the end A is :
As we discussed in
Potential Difference 

Charge on the element
Potential at 0
Option 1)
Option 2)
Option 3)
Option 4)
A parallel plate capacitor is made of two circular plates separated by a distance of 5 mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is 310^{4} V/m, the charge density of the positive plate will be close to :
As we discussed in the concept
Infinite Plane Parallel sheets of charge 
If
and E_{Q} = 0

Charge density
=
Option 1)
Option 2)
Option 3)
Option 4)
Assume that an electric field exists in space. Then the potential difference V_{A}  V_{O}, where V_{O} is the potential at the origin and V_{A} the potential at x=2 m is :
120 J
120 J
 80 J
80 J
As we discussed in the concept
In space 
, ,

Option 1)
120 J
Option 2)
120 J
Option 3)
 80 J
Option 4)
80 J
The space between the plates of a parallel plate capacitor is filled with a ‘dielectric’ whose ‘dielectric constant’ varies with distance as per the relation :
The capacitance C, of this capacitor, would be related to its ‘vacuum’ capacitance C_{o} as per the relation :
As we discussed in
The boundary Conditions 

Capacitance of Conductor 
 wherein
C  Capacity or capacitance of conductor
V  Potential.
Given
S= surface area of plate.
here,
Option 1)
Option 2)
Option 3)
Option 4)
An object is dropped from a height h from the ground. Every time it hits the ground it looses 50% of its kinetic energy. The total distance covered as is :
3h
First is right answer, because every time it hit ground it cannot much distance
Assume that a neutron breaks into a proton and an electron. The energy released during this process is (Mass of neutron = 1.6725 x 10^{–27}kg; mass of proton = 1.6725 x 10^{–27}kg; mass of electron = 9 x 10^{–31} kg)
0.73 MeV
7.10 MeV
6.30 MeV
0.51 MeV
A player caught a cricket ball of mass 150 g moving at a rate of 20 m/s . If the catching process is completed in 0.1 s the force of the blow exerted by the ball on the hand of the player is equal to
300 N
150 N
3 N
30 N
An electric dipole has a fixed dipole moment , which makes angle θ with respect to xaxis. When subjected to an electric field it experiences a torque When subjected to another electric field it experiences a torque The angle θ is :
30^{0}
45^{0}
60^{0}
90^{0}
A fighter plane of length 20 m, wing span (distance from tip of one wing to the tip of the other wing) of 15 m and height 5 m is flying towards east over Delhi. Its speed is 240 ms^{−1}. The earth’s magnetic field over Delhi is 5×10^{−5} T with the declination angle ~ and dip of θ such that If the voltage developed is V_{B} between the lower and upper side of the plane and V_{W} between the tips of the wings then V_{B} and V_{W} are close to :
V_{B} = 45 mV ; V_{W} = 120 mV with right side of pilot at higher voltage
V_{B} = 45 mV ; V_{W} = 120 mV with left side of pilot at higher voltage
V_{B} = 40 mV ; V_{W} = 135 mV with right side of pilot at higher voltage
V_{B} = 40 mV ; V_{W} = 135 mV with left side of pilot at higher voltage