Recent content by RedMech

I have been carring out an experiment in which I have to measure the hall voltage in two samples given to me, which are Bismuth and Copper. The Hall voltage values of Bismuth come out as expected but when I measure hall voltage in the copper sample, I do not get any changes in the hall voltage...

1. The problem statement The potential energy between two ions is u(r) = -α/r2 + β/r8 Determine: (i) The intermolecular distance ro for which the potential energy is minimum (ii) The inter-atomic distance for which the potential energy is zero is R= (2)-1/6ro...

Select your loop. When a resistor is traversed in your chosen loop, along the direction of current, then there is a voltage drop -IR.

Thank you so much. This makes sense. I see why I needed to bring in the f(p) function. My careless differentiation mistake and that power series confused me.

C=iħ. Giving us af(p) + iħd/dpf(p). Leading to [e^(ipa/ħ)xe^(-ipa/ħ)]f(p)= [a + iħd/dp]f(p). ∴e^(ipa/ħ)xe^(-ipa/ħ)=a + iħd/dp as required. Does this seem right?

Okay, I'm with you now. Let me see what I can do and I'll come back with my result.

Not sure I know what you mean by this. The phrasing of the question has thrown me off so much that I don't know what I am looking for.

So af(p)+cf'(p), would be my final solution. I pay no attention to the power series?

I copied it word for word. It's question 8 on this page in this book...

1. The problem statement: Show that if the operator relation e^(ipa/ħ)xe^(-ipa/ħ) = x+a holds. The operator e^A is defined to the ∞ e^A= Ʃ(A^n)/n! n=0 [Hint: Calculate e^(ipa/ħ)xe^(-ipa/ħ)f(p) where f(p)is any function of p, and use the representation x=iħd/dp]...

I'll compute the integral and then leave the final expression for my instructor. Thanks a million for your help.

I substituted x=c2/λT for the sake of the exponential term. dx=[-c2/λ^2T]dλ. The integral has become w=(c1*c*T^4)/4c2^4∫[x^3/e^x]dx (Please note that for c1 and c2, the 1 and 2 are subscripts of c. The independent c is the speed of light) How is this equation looking?

1. The problem statement: Using Wien's law ρ(λ,T)=f(λ,T)/λ^5, show the following: (a) The total emissive power is given by R = aT4 (the Stefan-Boltzmann law), where a is a constant. (b) The wavelength λmax at which ρ(λ,T) - or R(λ,T) - has its maximum is such that λ*T = b (Wien's displacement...