This is a problem from Boyd Nonlinear Optics chptr 1 problem 2.
Homework Statement
Numerical estimate of nonlinear optical quantities. A laser beam of frequency ω carrying 1 W of power is focused to a spot size of 30μm diameter in a crystal having a refractive index of n =2 and a second order...
My intro QM class is currently using this text, but I find that there is not very many worked examples of problems, and there are no solutions for the chapter questions in the back.
My class assignments are not based out of the book, so I was wondering if anyone knew of a solutions manual I...
I'm sorry if I came off as offended and defensive. I wasn't trying to.
I did notice after that you had the same identity written down as tiny tim, but I had already posted twice and didn't want to go back and post again.
I'll respond more carefully in the future so this doesn't happen again.
I am aware of the orthogonality relations, however I am not familiar with how they are derived, that is not covered in my textbook unfortunately. I do know that sin and cos are orthogonal on the interval -L to L, but they are not orthogonal on the interval 0 to L (according to my text), so this...
Homework Statement
all i really need to do is solve the integral:
\int-3*sin(\frac{n*pi*x}{L})*cos(\frac{8*pi*x}{L})
from x=0 to x=L
Homework Equations
The Attempt at a Solution
I'm not very sure where to start with this. Any help would be appreciated.
Sound waves are longitudinal and water waves are transverse. The median in which they propagate is matter.
What you seem to be interested in is string theory(I noticed you changed your original post) I would suggest you read a book called the elegant universe by Brian Greene.
Also What...
The OP stated that he means the mass of the system, which means everything inside the plane. The Planes mass itself cannot change.
I think the problem here is that people Aren't distinguishing between mass and weight. If you look at the system from the outside, the force required to hold up...
if you think about it in terms of Newtons law F=ma then it makes sense.
to accelerate the entire system by, say, 20m/s^2 then the force required is F=(m-plane+m-people+m-fly +...)*20m/s^2.
First of all, you have to define "adding mass to the plane". If you mean does the fly add mass to the plane in terms of mass being accelerated:
if the fly were hovering on take off, the fly would not add mass, but it would add weight, due to the air being pushed down by its wings to lift itself...
question 1
There is definitely a correlation between colors and musical notes, as they are both waves. Light is an electromagnetic wave, which means it is oscillating electric and magnetic fields. Sound is a wave as well, although in this case a longitudinal wave, not a transverse wave like...
The energy of the photons your body absorbs is still much less than that of the sun. You'll do more harm standing outside than using a Bluetooth headset.