1) I'm standing on earth. Two spaceships, A and B, are speeding toward me from opposite directions. In my reference frame, I see both moving at 0.5c toward me. What speed does an observer on A see B moving?

2) Using the pseudo-classical Bohr model, what is the energy of the photon emitted when an electron is captured into its lowest energy state around a proton? (hint: this is a progression from the n=infinity 'orbital' to the n=1).

3) If I had a (hypothetical) massless box whose insides were perfect mirrors, and there was some light bouncing around inside, would that system be pulled gravitationally toward the earth?

4) What is a wavelength? An angular frequency? Write down a simple wave equation for light.

5) What is the expectation value for momentum

of a particle with mass m =/= 0 in an infinite square well? Assume Psi(x,t)=exp(iwt). If you want me to explain this further I can.

6) What is the cross product of the two vectors x=(x1,x2) and y=(y1,y2) ?

7) What does a derivative mean, in Classical Newtonian mechanics? For example, what is the meaning of the derivative of position x with respect to time t; (dx/dt) ?

That does it for now - if anyone gets them all, and there are definitive answers for each, which I can give with proof, I'll think up some more. Nothing like a good science quiz to keep the old neurons firing.