Find approximate analytic expression for waveamplitude

Assignment Help Physics

Reference no: EM13554086

In an electron diffraction experiment, consider a screen with asingle vertical slit of finite width d in the x-direction,"illuminated" from behind by a plane monochromatic electron wave ofwavelength λ with the wave fronts parallel to the plane of theslit (i.e, the wave is propogating perpendicularly to thescreen). Presume that we take the simple Huygen's principlemodel of diffraction and model the slit as a source of aspherically expanding (complex) wave (and, hence, each verticalline in the slit is a source of a circularly expanding wave).

Find an approximate analytic expression for the form of the waveamplitude (by "form" we mean here that you may neglect any constantfactor multiplying the wave amplitude) at a plane a distancez0 from the screen (assuming z0 d).

Reference no: EM13554086

Questions Cloud

Find strength of the electric field to produce this force : A droplet of ink in an industrial ink-jet printer carries acharge of 1.6x10-11 coulombs and is deflected ontopaper by a force of 3.2x10 -4 newtons. Find thestrength of the electric field to produce this force.

What is theminimum net force possible : Consider a pair of forces, one having a magnitude of 30 N, andthe other having a magnitude of 40 N. What maximum net forceis possible when combining these two forces? What is theminimum net force possible?

Calculate the rate of energyradiation from the filament : A tungsten light bulb filament has a surface area of 2.6*10-5 m2 and is maintained at a temperature of2.5*103 oC. Calculate the rate of energyradiation from the filament. Assume an emissivity of 0.240 and takethe temperature of the surroundings to ..

How many excess electrons must be present on each sphere : Two small spheres spaced 20.0 centimeters apart have equal charge. How many excess electrons must be present on each sphere if the magnitude of the force of repulsion between them is 4.57 x 10^-21 newtons?

Find approximate analytic expression for waveamplitude : In an electron diffraction experiment, consider a screen with asingle vertical slit of finite width d in the x-direction,"illuminated" from behind by a plane monochromatic electron wave ofwavelength λ with the wave fronts parallel to the plane of ..

How far will the electron travel before itstops : An electron with speed v0 = 1.7 multiplied by 106 m/s is traveling parallel toan electric field of magnitude E = 7.0 multiplied by 103 N/C. How far will the electron travel before itstops?

What is the angle between the ramp and thehorizontal : A 7.00-kg block of ice, released fromrest at the top of a 1.75-m-longfrictionless ramp, slides downhill, reaching a speed 2.25 m/s of at the bottom. What is the angle between the ramp and thehorizontal?

Brass is an alloy of copper and zinc : Brass is an alloy of copper and zinc. Does the addition of zincto copper cause an increase or decrease in the speed of sound inbrass rods compared to copper rods? Explain.

Frequency should bath be operated to produce wavelengths : Particles approximately 3.0 X 10-2 cm in diameter are tobe scrubbed loose from machine parts in an aqueous ultrasoniccleaning bath. Above what frequency should the bath be operated to produce wavelengths of this size and smaller?

User Account

All Pages