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1. Early earth - silicates

How did the silicates form during the period in which a gas of silica coalesced into a ball of molten silicon? I thought silicate typically only forms in basic aqueous solutions, which clearly did not exist at this period.
2. Electron spin entanglements - time-energy uncertainty

I've been watching Susskind's lectures on quantum mechanics and he mentions that the time taken for two electrons to entangle their spin is a function of their distance, which in itself determines the energy that is released when two electrons fall into a singlet state. Does anyone here know how...
3. Magnetic pressure and bar magnets

So it has been puzzling me that the repulsion and attraction between two bar magnetics can be considered as a consequence of magnetic field energy density - that is magnetic pressure. I realise 1/2B^2/mu_0 is the pressure and that times the area gives the force. But conceptually I don't...
4. Chadwick's experiment and proton velocity

How did he measue the proton velocity in the polonium-beryllium experiment? The only source with some description describes his using current as a means to do so - but sure that would require knowledge of the number of protons in order to ascertain the drift velocity?
5. Statistics - related pdfs

Homework Statement I am given the lens maker's equation: 1/u + 1/v = 1/f Then told that U and V are random variables based on this equation. U is uniformly distributed between 2f and 3f. The question is to prove the pdf of V is f/(v-f)^2 and find the cdf for V. Also - find the...
6. Complex cube root of 1

Homework Statement If w is a complex cube root of 1, prove that x + wy + w^2z is a factor of x^3+ y^3 + z^3 - 3xyz, and hence factorise the equation completely. Homework Equations Complex cube root of 1 = -1/2 +/- 3^1/2/2 i The Attempt at a Solution Erm, I feel way over my head...