Recent content by Ian Baughman

I am way late to this thread but I had a question on η(x). The problem provides the answer of uniform convergence being in the set of 0 < s ≤ x < ∞. I was able to prove that it does exhibit uniform convergence on the interval of 1 < s ≤ x < ∞ but how do you start by showing that it does down to...

I am curious as to what fields within the physics realm are going to be growing in the coming years. I am very interested in elementary particle physics but it seems to be a huge field with a lot of people already engaged in a wide variety of research under this topic. I also have an interest...

So I am working out a course schedule for my last two years of undergrad and have room for only one more math class but do not know which would be more beneficial. The two courses are Intro to Modern Algebra or Numerical Linear Algebra. I am working towards a bachelors degree in physics and plan...

If we have a polarizer and an analyzer where the angle between the two axes is ∅ then we can find the intensity using Malus's Law. The intensity after the polarizer would be: (1/2)I0 After the Analyzer we could have an intensity of: (1/2)I0cos2(∅) What would happen though if ∅ = 0. Would...

So I know that EM waves travel perpendicular to the electric and magnetic fields which are also perpendicular to each other. What I'm having difficulty understanding is since light is an EM wave and can travel through the vacuum of space, does that imply that everywhere in the universe there is...

Thank you!

So I found a value, I0 = 10-12 W/m2. Where does this value come from though?

Homework Statement A speaker blares out music with a power of 10 W. Assuming the air has a temperature of 50°F and a pressure of 1 atm, what is the sound intensity level in decibels at a distance of 100m away? What is the maximum pressure variation at that point? What is the distance at which...

The answer is: T = (p2c2+mo2c4)1/2-mcc2 I know: p = momentum T = Kinetic Energy c = speed of light mo = Rest mass I'm just confused on what mc represents.

In my nuclear engineering class we are looking at relativity right now. For one of our homework problems we have to derive an equation for a particle moving at relativistic speed showing the kinetic energy in terms of the particles momentum. In the answer they have a term mc and I have no idea...

According to the first law of thermodynamics, dQ = dU + dW and you can find dU = nCvdT If this is the case then when water at 100°C vaporizes to steam at 100°C shouldn't the change in internal energy be zero because it is dependent on temperature change?

Since this is a thermodynamic cycle with the final state being identical to the initial state would the total change in internal energy be equal to zero?

What is wrong with this logic, if any? It does not seem like this should be true but maybe I'm mistaken. Assuming the process consists of two isobaric processes and two isothermal processes the work from B to C in terms of p1, p2, V1, and V2 is given by the following. 1) WBC=p2(VC-VB) 2)...

For this part I used dp/dy=-gρ because the forces were not dependent upon temperature. I also used p=(ρRT/M) to get dp/dy=(R/M)(T'(y)ρ(y)+T(y)ρ'(y)) since both temperature and density are dependent upon height. We know T(y)=To-ay so T'(y)=-a. Combinding dp/dy=(R/M)(T'(y)ρ(y)+T(y)ρ'(y)) and...

1) I used equation one, pM=ρRT, and solved for p yielding p=(RT/M)ρ. 2) From here I found: dp/dy=(RT/M)ρ'(y). 3) Using: pA=(p+dp)A+ρ(Ady)g ⇒ dp=-ρgdy ⇒ dp/dy=-gρ 4) I replaced dp/dy with (RT/M)ρ' and got (RT/M)ρ'=-gp. 5) Since this is a linear first order homogeneous diff eq...