A hollow metal sphere of radius 5 cms is charged such that the potential on its surface is 10 volts. The potential at the centre of the sphere is
zero
10 volts
Same as at a point 5 cms away from the surface
Same as at a point 25 cms away from the surface
Two point charges +q and q are held fixed at (d, o) and (d, o) respectively of a x-y coordinate system. Then
The electric field E at all points on the x-axis has the same direction
Electric field at all points on y-axis
Work has to be done in bringing a test charge from ( to the origin
The dipole moment is 2 qd along the x-axis
An electron of mass me, initially at rest, moves through a certain distance in a uniform electric field in time t1 A 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
I
(mp/ me)1/2
(me/ mp)1/2
1836
Two identical metal plates are given positive charges Q1 and Q2 ( (Q1+Q2)/(2C)
(Q1+Q2)/C
(Q1-Q2)/C
(Q1-Q2)/(2C)
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=+1 cm. Then the potentials at the points A. B and C satisfy.
VA < VB
VA > VB
VA < VC
VA > VC
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 electrical potential energy of Q, when it is displaced by a small distance x along the x-axis, is approximately proportional to
x
X2
X3
I/x
/
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 potential difference appears between the two cylinders when a charge density is given to the inner cylinder
A potential difference appears between the two cylinders when a charge density is given to the outer cylinder
No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders
No potential difference appears between the two cylinders when same charge density is given to both the cylinders.
Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the sphere is then
Negative and distributed uniformly over the surface of the sphere
Negative and appears only at the point on the sphere closest to the point charge
Negative and distributed non-uniformly over the entire surface of the sphere
zero
A parallel plate air capacitor is connected to a battery. The quantities charge, voltage, electric field and energy associated charge, voltage, electric field and energy associated with this capacitor are given by Qo, Vo, Eo and Uo respectively. A dielectric slab is now introduced to fill the space between the plates with battery still in connection. The corresponding quantities now given by Q, V, E and U are related to the previous one as
Q>Qo
V>Vo
E>Eo
U>Uo
1 and 4
2 and 3