Geometric optics, Electrostatics, and Circuits Instruction: Answer each number neatly. Solutions must also be shown and enclose yournot answer with a box. No solution, no points. 1. A2 cm object is placed at a distance if 12 cm from a lens with focal length of-4cm [f = 4cm). a] Use graphical method to determine the description of the image formed by this lens (NOTE: Use ruler and protractor for this]. bl Use analytical method to determine the distance, magnification, height, and the description of the image formed by this lens. NOTE: You should get the same results using these different methods. 2. An alpha particle, which is a nucleus of helium atom, is composed of 2 neutrons and 2 protons. a] What is the total electric charge of an alpha particle? (Recall: Charge of a proton is given byq = +1.6 x 1[J'19 C} bl Using the Coulomb's law, find the electric field at a distance of lcm away from this alpha particle. cl Find the electric eld due to this alpha particle at the same distance [(1.001ch using the Gauss's law. (Hint: Use a Gaussian surface such that the electric eld is constant at the same distance in any direction} NOTE: You should get the same results using these different methods. 3. Refer to the circuit below: a] Solve for the current through each of the resistors b] Solve for the potential difference {voltage} across each of the resistors c] What lawsfprinciples did you use to solve this