Homework Statement
S(t) = S(0)e^{-i \pi f_{o}t} e^{-t/T^{*}_{2}}, 0 \leq t < \infty
S(t) = 0, t < 0
Show that the spectrum G(f) corresponding to this signal is given by:
G(f) = S(0) { \frac{T^{*}_{2}}{ 1 + [2 \pi (f- f_{o} )T^{*}_{2}]^{2}} + \frac{i2 \pi (f- f_{o} )...
Homework Statement
Below is a wave function that is a linear combination of 2 stationary states of the infinite square well potential. Where ψ1(x) and ψ2(x) are the normalized solution of the time independent Schrodinger equation for n=1 and n=2 states.
Show that the wave function is...
OK, now I am confused. The ln|3x+1| as x goes to infinity is infinity. So it diverges. But how do I make it converge? Same with the first part of the integral...
EDIT: I am sorry if you can't understand the integral straight away, I am not familiar with using the notion provided by this forum. I tried, but...
Homework Statement
Find all values of the constant α for which the integral:
∫ [(x/(x^2 + 1)) - (3a/(3x + 1))] dx (from 0 to +infinitity)...
Forget about the first question then. What do you mean rethink this? Should I use the Kinetic Energy of the recoiled electron to determine the angle?
EDIT: Or should I use conservation of momentum?
Homework Statement
A 650-keV gamma ray Compton-scatters from an electron. Find the energy of the photon scattered at 110°, the kinetic energy of the scattered electron, and the recoil angle of the electron.
Homework Equations
Compton effect equation:
Δλ = λ^{'} - λ = (h/mc) (1-cosθ)...
Antioxidants react with reactive oxygen species (such as hydrogen peroxide) to produce water. And example of this is catalase which is present in bacteria such as E. coli and P. aeruginosa.
It is also known that Honey has antibacterial properties. One factor is hydrogen peroxide that kills...