A: The numerical are based on application of theory content. Attempt them in your physics notebook as practice assignment.
B: Do all questions in sequence.
UNIT –I: ELECTROSTATICS
1. Three identical charges each +q are placed at the corners of an equilateral triangle of side d cm. Calculate the force on a +ve charge +2q at the centroid of the triangle.
2. Force acting on a charged particle kept between the pair of plates, having equal and opposite charge, is F. If one of the plates is removed, find the force acting on the same particle.
3. The plates of a parallel plate system are charged up to 100V. A 4mm thickness dielectric slab is inserted between the plates. Then to maintain the same potential difference, the distance between the systems plates are increased by 2mm. find the dielectric constant.
4. A point charge placed at any point on the axis of an electric dipole at some large distance experiences a force F. Find the force acting on the point charge when its distance from the dipole is quadrupled.
5. In the electric field of a point charge ‘q’, the four points A,B,C and D are equidistant from q, however AB>AC>AD. Calculate the work done in taking a unit charge along AB, AC and AD.
6. N identical spherical drops charged to the same potential ‘V’ is combined to form a big drop. Find the potential of the new big drop formed.
7. An electron is projected with an initial speed of 25×105 m/s directly towards a proton which is at rest. Initially the electron is supposed to be at a fairly large distance from the proton. Find the distance of the electron from the proton when its instantaneous speed becomes twice the initial speed.
8. Two conducting spheres one of radius 6cm and the other of radius 12cm each carrying 3×10-8C are placed very par apart. If these spheres are connected by a conducting wire, find the direction of motion and the magnitude of charge transferred.
9. A solid metal disc of