Two particles, each of positive charge q, are fixed in place on a y axis, one at y = d and the other at y = –d. Write an expression that gives the magnitude E of the net electric field at points on the x axis given by x = αd. Determine the value of α that gives (a) the maximum value of E. Determine the values of α that give half the maximum value of E. Let (b) be the lesser of the two values of α, and (c) the greater of the two values.

Which of the following correctly describes what happens when an atomic bomb explodes? small pieces of fissionable material are joined and form a body with a mass greater than the critical mass, the relative number of neutrons escaping decreases, and a chain reaction and explosion result. large pieces of fissionable matter are brought together quickly and form a body with a mass smaller than the critical mass, the relative number of escaping neutrons increases, and a chain reaction and explosion result.

Asquare 1m x 1m plate is shown below. all four of its edges are kept at 0 co. at t=0the temperature distribution is given by: y xtsins n75)=.a) using separation of variables determine the temperature distribution t(x,y,t)along the plate at any time t.b) discretize the heat conduction equation +=22222 txtusing a second-order centered difference scheme for the two second derivatives and a first-order forward euler scheme for the first derivative. using von neumann stability analysis, determine the stability criterion for the proposed discretization scheme in terms of , hand t. solve for the maximum allowable time step tmax

Calculate a pendulums frequency of oscillation (in hz) if the pendulum completes one cycle in 0.5s.