Questions in Electrostatics

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A charge \[Q\] is divided into two parts of \[q\] and \[Q - q\]. If the coulomb repulsion between them when they are separated is to be maximum, the ratio of \[\frac{Q}{q}\] should be
Number of electrons in one coulomb of charge will be
When air is replaced by a dielectric medium of constant \[k\], the maximum force of attraction between two charges separated by a distance
A glass rod rubbed with silk is used to charge a gold leaf electroscope and the leaves are observed to diverge. The electroscope thus charged is exposed to X-rays for a short period. Then
One metallic sphere \[A\] is given positive charge whereas another identical metallic sphere \[B\] of exactly same mass as of \[A\]is given equal amount of negative charge. Then
The force between two charges \[0.06\,m\] apart is \[5\,N\]. If each charge is moved towards the other by \[0.01\,m\], then the force between them will become
Two charged spheres separated at a distance d exert a force \[F\]on each other. If they are immersed in a liquid of dielectric constant 2, then what is the force (if all conditions are same)
Two point charges \[ + 3\mu C\] and \[ + 8\mu C\] repel each other with a force of \[40N\]. If a charge of \[ - 5\mu C\]is added to each of them, then the force between them will become
When \[{10^{19}}\] electrons are removed from a neutral metal plate, the electric charge on it is
Electric charges of \[1\mu C,\, - 1\mu C\] and \[2\mu C\] are placed in air at the corners A, B and C respectively of an equilateral triangle ABC having length of each side 10 cm. The resultant force on the charge at C is

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