MEDIUM
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For the invariance of electric charge, mass can be vary.

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Important Questions on Electric Charges and Fields

MEDIUM
The radius of a nucleus is given by r0A1/3 where r0=1.3×10-15 m and A is the mass number of the nucleus, the Lead nucleus has A=206, the electrostatic force between two protons in this nucleus is approximately
MEDIUM
A point charge + Q is held at rest at a point P. Another point charge -q , whose mass is m , moves at a constant speed v in a circular orbit of radius R1 around P. The work required to increase the radius of revolution of -q from R1, to another orbit R2 is R2>R1 where   K=14πε0
MEDIUM
Four identical pendulums are made by attaching a small ball of mass 100 g on a 20 cm long thread and suspended from the same point. Now each ball is given charge q so that balls move away from each other with each thread making an angle of 45o from the vertical. The value of q is close to 14πε0=9×109, S.I. units
EASY
Two point charges A and B, having charges +Q and -Q respectively, are placed at certain distance apart and force acting between them is F. If  25% charge of A is transferred to B, then the force between the charges becomes
EASY
Suppose the charge of a proton and an electron differ slightly. One of them is e, the other is e+Δe. If the net electrostatic force and gravitational force between two hydrogen atoms placed at a distance d (much greater than atomic size) apart is zero, then Δe is of the order of [Given mass of hydrogen mh= 1.67×1027 kg]
EASY
Two electrons are moving with equal speed of 5×105 m s-1 parallel to each other. The ratio of the electrostatic to the magnetic force between them is
HARD
Two identical charged spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d( dl ) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity υ. Then υ varies as a function of the distance x between the spheres, as
HARD
Two charges, each equal to q, are kept at x=-a and x=a on the x-axis. A particle of mass m and charge q0=-q2 is placed at the origin. If charge q0 is given a small displacement (ya) along the y-axis, the net force acting on the particle is proportional to :
HARD
A certain charge 2Q is divided at first into two parts q1 and q2. Later the charges are placed at a certain distance. If the force of interaction between two charges is maximum then Qq1=
HARD
Two identical non-conducting solid spheres of same mass and charge are suspended in air from a common point by two non-conducting, massless strings of same length. At equilibrium, the angle between the strings is α. The spheres are now immersed in a dielectric liquid of density 800 kg m-3 and dielectric constant 21. If the angle between the strings remains the same after the immersion, then
HARD
Two small metal balls of different masses m1 and m2 are connected by strings of equal length to a fixed point. When the balls are given equal charges, the angles that the two strings make with the vertical are 30° and 60°, respectively. The ratio m1m2 is close to, 
EASY
The acceleration of an electron due to the mutual attraction between the electron and a proton when they are 1.6 Å apart is,
me9×10-31 kg, e=1.6×10-19 C (Take 14πε0=9×109 N m2 C-2)
EASY
Three Point charges each equal to +q are placed at the vertices of an equilateral triangle of side 'l'. The net force on a charge q1 placed at the centre of the triangle is
EASY
Two small metal spheres A and B charged positively are separated by 2 m in air. The force on a charge of +1 C placed on the line joining the centres of the spheres and at a distance of 0.5 m from A is found to be zero. The ratio qA:qB of charges on A and B is
HARD
Two positively charged spheres of masses m1 and m2 are suspended from a common point at the ceiling by identical insulating massless strings of length l . Charges on the two spheres are q1 and q2, respectively. At equilibrium, both strings make the same angle θ with the vertical. Then
EASY
If a body gives out 109 electrons every second, how much time is required to get a total charge of 1 C from it ?