I haven't posted any of my working for this as I only want to check my answer.
Q. For a hydrogen atom with n=2, l=1, m=0
calculate <r^2>
My answer = 0.75 * a^2
where a is the bhor radius.
Am I right?
Prove this function satisfies the time independent schrodinger equation. When V is constant.
Psi = A e^(i k x) + B e^(-i k x)
Attempt:
Time independent schrodinger equation : (- (hbar^2) / 2m) * (d^2 Psi / d x^2) + V Psi = E Psi
Second order derivative of Psi : (-k^2 A e^(i k x)) + (-...
Question : State which type of thermodynamic system (Isolated, Closed, Open) the following are... Include in your answer which type of system they are relative to short and long time periods.
A list then followed.
I'm unsure about only one.
A thermal flask.
I know in the long term a...
Two lasers are incident on a photodetector, one has a wavelength of 780.56160 nm the other has a slightly shorter wavelength. They produce a beat frequency of 460 Hz.
Attempt
df = f2 - f1 = c ((1/ lambda1) - (1/ lambda2))
= c ((lambda1 - lambda2) / (lambda1 * lambda2))
Is it ok to...
State Variables are parameters which describe a thermodynamic system.
Some are inherent in the system (eg specific heat capacity) and some we can control (eg heat capacity)
I suppose since we can control N then ln N is to an extent controlled, but I don't know if it counts as a state...
An Ideal Diatomic Gas expands adiabatically, the temperature after expansion is 50 kelvin less than its original temperature. What is the work done by this gas?
Assume you have 0.5 kg of the gas. Molar Mass = 4
I already know the gas is helium but I don't think knowing what the gas is helps...
It was just a question I found in a thermodynamics question book. The full question is
"State whether these are state variables or not... (list of quantities)... logarithm of number of molecules"
Is log (no of molecules) a state variable? I know that the no of molecules are a state variable so I assume the logarithm of this is still a state variable. Am I right?
thanks, I can't believe I forgot something as simple as that.
and Initial conditions were y=0, x=2
Sorry about the typo, there are a lot on the worksheet.
But seeing the sqrt all under one bracket made me realize what to do.
I've got it now.
dy/dx = x/y
Solve the equation (get general form of y) for the given condition y=1 and x=2
I've tried finding the complementary function, dy/dx = 0.
So I assume y = C (a constant)
Now I'm trying the find the particular Integral.
dy/dx = x/y
rearrange for LHS containing only y and RHS...
We have a carnot engine with Th = 800 degrees Celsius, and Tc = 50 degrees Celsius.
This produces a work which is drives a carnot heat pump which has heat reservoirs at Th' = 50 degrees celsius and Tc' = 0 degress Celsius.
What is the ratio of heat absorbed by the Heat Engine to the heat...
Two bodies have the same Internal Energy. (U = N C T)
Both N and C are the same for each of these bodies. The initial Temperatures of these bodies are T1i and T2i
Using these bodies to produce work from a Carnot Heat Engine, they are brought to a final temperature Tf.
What is this final...
Given a propagating field expressed as E = Em Sin (wt - bz)j in free space, find the displacement (D) and the magnetic field (B) created by this electric field using a relevant maxwell's equation.
note : w is in fact omega
and b is beta.
j is a unit vector.
I don't know how I'm meant...