Recent content by omoplata

Homework Statement It is the driven series RLC circuit. It is given in the following images. It is from the section 12.3 in this note. Homework Equations The differential equation, as given by 12.3.3, is ##L \frac{d^2 Q}{d t^2} + R \frac{d Q}{d t} + \frac{Q}{C} = V_0 \sin{(\omega t)}##...

OK, I get the book answer now. Thank you!

Homework Statement [/B] A particle of rest mass ##m_0## is is caused to move along a line in such a way that its postion is $$x = \sqrt{b^2 + c^2 t^2} -b$$What force must be applied to the particle to produce this motion? 2. Homework Equations The velocity of the particle as seen from...

Homework Statement [/B] This is problem 10.27 in the Exercises for the Feynman Lectures on Physics, or Problem C-2 in Chapter 10 of Leighton and Vogt's Exercises in Introductory Physics. Homework Equations Using ##v_f^2 = v_i^2 + 2 a S## for the water in the vertical direction, we can find...

Ah, I see now! For a bubble in air there are two interfaces. From the inside air to the liquid film and from the liquid film to the outside air. But the bubble immersed in a liquid has only one interface! So that is why you multiply by two to get 4 instead of 2 when deriving the surface tension...

But there is no other pressure value given. And 'gauge pressure' is the pressure above the atomospheric pressure, right. So I don't need to subtract the atmospheric pressure from the given value to find the pressure difference. From what I understand, this is what's happening. Before the...

Homework Statement [/B] The question is from chapter 9 of "Exercises in Introductory Physics" by Leighton and Vogt. The answer given in the book is ##R = 4.9 \times 10^{-5} \rm{cm}##. Homework Equations $$\sigma = \frac{\Delta P \cdot R}{4}$$ Where, ##\sigma## is the surface tension...

Oh, I see now. So I have come up to the point saying a + x = b. But I do not know yet if x is unique. So I assume there is a another y such that a + y = b. Then, a + x = a + y From theorem I.1, x = y. Therefore x is unique. Thank you!

But I can't assume that. Theorem I.2 is the one I'm trying to prove.

Sorry if I'm posting in the wrong place. Since the difficulty I have is with the text of the book, and not the exercises, I posted here. In proving theorem I.2, how is theorem I.1 used to assert that 'there is at most one such x'? The first image below gives the background text. The text I have...

Suppose we have an insulated cylindrical container with a piston inserted from one end. Suppose the volume confined by the piston is full of a hot gas. Now let the gas drive the piston so that the volume is increased. Did the entropy of the system decrease because some of the energy of the...

OK. So the quantum states given in part (c) are found by assigning ##n_1## and ##n_2## the values 1 and 2?

Example from Schaum's Quantum Mechanics. Picture of the example is attached. What I don't understand is part (c). What are those wavefunctions ##\mid \psi^{(0)}_{1,2} \rangle## and ##\mid \psi^{(0)}_{2,1} \rangle##? How do I find these wavefunctions, if the unperturbed wavefunction is...

OK. I still don't get it. What does "We require ... its phase is such that the inner product ##\langle 0 \mid \psi \rangle## is a real number." mean? Why does ##\langle 0 \mid \psi \rangle## need to be a real number? Also, $$\langle \psi (\lambda) \mid = \langle 0 \mid + \lambda^* \langle 1...

Got it. Thanks.