Homework Statement
This problem belongs to the Intermediate Physics for Medicine and Biology, Hobbie Chapter 4.
The heat flow equation in one dimension
$$ j_H=-\kappa \partial_x T $$
where ## \kappa ## is the termal conductivity in ## Wm^{-1}K^{-1}##. One often finds an equation for the...
I'm trying to prove that the wave function of Hydrogen for the fundamental state is normalized:
$$ \Psi_{1s}(r)=\frac{1}{\sqrt{\pi a^3}}e^{-\frac{r}{a}} $$
What I tried is this:
$$ I= \int_{-\infty}^{\infty} | \Psi^2(x) | dx = 1$$
$$ \int_{-\infty}^{\infty} \frac{1}{\pi...
The statement of this problems is:
In diatomic molecules, the constituent atoms exert attractive forces between themselves at great distances and repulsive forces at short distances. For many molecules the Lennard-Jones law is a good approximation for the modulus of these forces.
$$ F(r)=F_0...
Homework Statement
I need to calculate the work donde by the Lennard-Jones Law, considering:
F(r)=F0 [2(σ/r)13-(σ/r)7]
when approximating two atoms from infinity to the equilibrium position between both atoms
Homework Equations
First thing I don't know how to calculate is the equilibrium...
Hi! So, I just had second thoughts about what I post. The idea is to conserve the energy, right? So the energy in A is : mg(d+x)sinβ and the energy in B is :½kx^2. Conserving the energy I obtain:
mg(d+x)sinβ=½kx^2
⇒ mgdsinβ + mgxsinβ = ½kx^2
⇒ mdgsinβ = ½kx^2 - mgxsinβ
⇒ d=...
Homework Statement
A body with mass m start from repose and slide along a plane without friction. The plane forms an angle with the horizontal. After sliding a distance d unknown, the mass touches the extremity of a spring non compressed and non stretched with no mass. The mass slides a...