Recent content by mntb

What is cornu spiral?

yes, I'm looking for regime the diffraction falls under, I read that the λ has to be much larger for the Fresnal diffraction, so is R<a^2/λ for Fresnal diffraction right?

so is this right? R>a^2/λ for Frauhofer diffraction, and R<a^2/λ for Fresnal diffraction is there a math equation to express their difference?

Consider an object of mass m at rest in S acted upon by a force F with components Fx and Fy. Sys tem S' moves with instantaneousvelocity v in the x direction. Defining the force with F=d/dt (gamma mv), and using the Lorentz velocity transformation, show that a0 F'x=Fx,b0 F'y=Fy/gamma I show my...

how do you distinguish Fresnal and fraunhofer diffraction mathematically?

The ? are gamma, and actually I know how to get the answer now, but could you check for me to see if the answer is correct? I get ay'=ay/?^2(1-uxv/c^2)^2+axuxv/c^2/?^2(1-uxv/c^2)^3

For a particle moving in the xy plane of S, show that the y' component of the acceleration is given by ay'=ay/?^2(1-uxv/c^2)+axuxv/c^2/?^2(1-uxv/c^2)^3 I don't know if this means that ths S and S' xy plane aren't parrellel? If so, how do you get the angle, if not how come there are two terms?

yeah, but if you see it in the meter stick' coordinate, then the steel plate does have a relativisic change: it moves in the x direction

For a disk that rotates with angular speed w, there is a clock at the center(at rest), adn one at distance r, with speed rw,. I need to show that frome time dilation in special relativity, time inervals (△ t) for the clock at rest, and (△ t') for the moving clock are related by (△ t'-△...

A very thin steel plate with a circular hole one meter in diameter centered on the y-axis lies parallel to the xz plane in frame S and moves in the +y direction at constant speed v, a mterstick lying on the x-axis moves in the x directoin with v/c.The steel plate arrives at the y=0 plane at the...

What is binomial expansion?

derivating a from v (lorentz transform) u is the velocity in the +x direction u=(u-v)/(1-vu/c^2) a=du/dt dt=I know du=?

The proper mean life time of mesons is 2.6*10(-8) . If a beam of such paricles has speed 0.9c, their mean life would be 5.96*10(-8) seconds, they would travel on the average16.092 meters,before they decay, , and if you neglected time dilation that would be 7.02 meters. The interval space time...

could anyone explain binomial expansion in the simplest way?

derivating a from v (lorentz transform) u is the velocity in the +x direction u=(u-v)/(1-vu/c^2) du? how do you du the right side of the eq? :confused: