Recent content by KyleS4562

Thank You!

Hi everyone, I have an equation that contains the derivative of the Bessel Function of the first kind. I need to evaluate Jn'(x) for small values of x (x<<1). I know that Jn(x) is (x)n/(2n*n!). What is it for the derivative?

i see wat to do now... thank you... it would be 2=exp(ln2) which means 2^i=exp(ln(2^i))=exp(i*ln(2)) which is polar form... totally forgot the properties of log

Homework Statement Convert -2^i to polar and rectangular form Homework Equations mag(a+ib)=sqrt(a^2+b^2) exp(i*angle)=cos(angle)+i*sin(angle) The Attempt at a Solution im not sure how to get the polar (or rectangular form) of -2^i. i know the answer is exp(-2.448rad)... i just don't know the...

It wouldn't have anywhere to go if it is absorbed. so that is why a photoelectric effect is wrong. so I can say: Before in CM: E_{CM,before}=E_{\gamma}+E_{e} E_{e}=\sqrt{(pc)^{2}+(mc^{2})^2} but, the momentum of the electron is the same as of the photon...

Homework Statement The question asks me to prove that the photoelectric effect cannot occur with a free electron. ie. one not bound to an atom. A hint is also provided: Consider the reference frame in which the total momentum of the electron and incident photon are zero. Homework...

No i did not. I will try that. But would I have to consider the Earth's rotation in part a as well?

In 1971 four portable atomic clocks were flown around the world in jet aircraft, two east bound and two westbound, to test the times dilation predictions of relativity. a) If the westbound plane flew at an average speed of 1500 km/h relative to the surface, how long would it have to fly for the...

Homework Statement Are the 3X3 matrices A such that vector <1,2,3> is in the kernel of A, a subspace of R^(3X3)? Homework Equations The Attempt at a Solution I know that the kernel condition gives a subset V={A|A*<1,2,3>=0} but I am not sure of how to proceed to show it is in fact...

alright, thank you very much for your help

for A: A^2 * x would equal the zero vector which means the ker(A^2) contains x but is not necessarily equal because it may contain another vector B. Is that saying the im(A) contains the im(A^2) but is not necessarily equal to the im(A^2) because it will span more vectors?

Homework Statement Consider a square matrix A: a. What is the relationship between ker(A) and ker(A^2)? Are they necessarily equal? Is one of them necessarily contained in the other? More generally, What can you say about ker(A), ker(A^2), ker(A^3), ker(A^4),...? b. What can you say...

Thank you very much for all your help

Wow I didn't think of that. So it is just A^-1 = A then for b we can actually do it since A= [5,0,0] [0,5,0] [0,0,5] A^-1 = [1/5,0,0] [0,1/5,0] [0,0,1/5] then d if a rotation around an axis is defined by theta degrees than the inverse matrix will rotate the vector...

A. Invertible. Let's call this transformation T which as a transformation matrix A. So since it is invertible there exists an A^-1 such that: T(<x,y,z>)= <x1,y1,z1> where A<x,y,z> = <x1,y1,z1> so that A^-1 <x1,y1,z1> = <x,y,z> for any given plane and something like that for the other ones or...