Questions in Electrostatics

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In Millikan's oil drop experiment an oil drop carrying a charge Q is held stationary by a potential difference $2400\,V$ between the plates. To keep a drop of half the radius stationary the potential difference had to be made $600\,V$. What is the charge on the second drop
A charge of $5\,C$ experiences a force of $5000\,N$ when it is kept in a uniform electric field. What is the potential difference between two points separated by a distance of $1\,cm$
Two insulated charged conducting spheres of radii $20\,cm$ and $15\,cm$ respectively and having an equal charge of $10\,C$ are connected by a copper wire and then they are separated. Then
Equal charges $q$are placed at the vertices $A$ and $B$ of an equilateral triangle $ABC$ of side $a$. The magnitude of electric field at the point $C$ is
Two equal charges $q$ are placed at a distance of $2a$ and a third charge $- 2q$ is placed at the midpoint. The potential energy of the system is
Two point charges $100\,\mu \,C$ and $5\,\mu \,C$ are placed at points $A$ and $B$ respectively with $AB = 40\,cm$. The work done by external force in displacing the charge $5\,\mu \,C$ from $B$ to $C$, where $BC = 30\,cm$, angle $ABC = \frac{\pi }{2}$and $\frac{1}{{4\pi {\varepsilon _0}}} = 9 \times {10^9}N{m^2}/{C^2}$
The unit of intensity of electric field is
Equal charges are given to two spheres of different radii. The potential will
An alpha particle is accelerated through a potential difference of ${10^6}\,volt$. Its kinetic energy will be
A charge of $5\,C$ is given a displacement of $0.5\,m$. The work done in the process is $10\,J$. The potential difference between the two points will be

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