(i) The electric field at a point 10 cm away from a charge P as in FIGURE 1 is 2.7 x 10 NC-1. Determine the charge of P. (ii) a charge Q is placed 10 cm away from charge P. When charge Q is moved horizontally to the right to a position 5 cm from its initial position, there is a 0.54 J change in its electric potential energy of the system. What is the charge of Q?

(iii) Sketch the electric force vectors on charge P and Q.

(iv) If charge Q is again moved horizontally to the right to a new position, and the electric force on it is -4.05 N; how far apart is charge Q from charge P?

(b) Two oppositely charged parallel plates are held 2 mm apart. A 4 x 107 of work is needed to move a 2 C point charge from one plate to the other. Calculate the electric field between the plates.

Tungsten-filament lightbulb emits light based on the temperature of the filament. which phenomenon does this demonstrate?

Consider the particle-in-a-box problem in 1d. a particle with mass m is confined to move freely between two hard walls situated at x = 0 and x = l. the potential energy function is given as (a) describe the boundary conditions that must be satisfied by the wavefunctions ψ(x) (such as energy eigenfunctions). (b) solve the schr¨odinger’s equation and by using the boundary conditions of part (a) find all energy eigenfunctions, ψn(x), and the corresponding energies, en. (c) what are the allowed values of the quantum number n above? how did you decide on that? (d) what is the de broglie wavelength for the ground state? (e) sketch a plot of the lowest 3 levels’ wavefunctions (ψn(x) vs x). don’t forget to mark the positions of the walls on the graphs. (f) in a transition between the energy levels above, which transition produces the longest wavelength λ for the emitted photon? what is the corresponding wavele

Immediately upon reaching its lowest point, a falling pendulum bob has its greatest amount of energy, which is the initial amount of potential energy. a. heat; less than b. heat; more than c. kinetic; less than d. kinetic; more than