List of top Physics Questions on Electrostatics asked in UP Board XII

Diameter of two spheres of metal are 6 cm and 4 cm. They are charged to the same potential. Find out the ratio of the surface densities of charge on the sphere.
How can the capacity of a conductor be increased? Radius of the plates of a parallel plate air capacitor is \( 3 \times 10^{-2} \, \text{m} \) and the capacitance is equal to the capacitance of a charged sphere of radius 1 m. Find the distance between the plates of the capacitor.
What is an oscillator? Explain the working of a transistor as an oscillator with a suitable circuit diagram.
A hydrogen atom emits ultraviolet radiation of wavelength 1025 \(\text{Å}\). What are the quantum numbers of energy states involved in the transition?
Define capacitance of a capacitor. Find the charge on each capacitor in the circuit shown in the figure.
Give an equation related to nuclear fusion.
In a Boolean expression \( Y = AB + BA' \), if \( A = 1 \), \( B = 1 \), then find the value of Y.
Show that N/C and V/m are the units of the same physical quantity. Name that physical quantity.
Write Gauss' law of electrostatics and obtain Coulomb's law with its help.
Find the expression of the capacity of the parallel plate capacitor partly filled with dielectric substance. If the capacitor is charged by 100 μC and dielectric constant of the slab putting in it is 2.0, then find the induced charge on the dielectric slab in the capacitor.
Obtain the formula for the electric potential on the axial line of an electric dipole.
The electric field of intensity \( \vec{E} = (3 \hat{i} + 4 \hat{j}) \, \text{N/C} \) passes through the plane of area \( \vec{A} = (10 \hat{i}) \, \text{m}^2 \). Find the electric flux.
Derive the formula for the capacitance of a parallel plate capacitor, partially filled with a dielectric.
A particle of mass \(m\) and charge \(q\) traverses distance \(d\) from rest in a uniform electric field \(E\). Prove that the velocity \(v\) attained by the particle is \( v = \sqrt{\frac{2qEd}{m}} \).
The dielectric constant (k) of silver is