In a double-slit experiment, electrons with the matter wavelength ? = 30 ∗ 10−12? strike a double slit with the slit center distance ? = 6.2 ∗ 10−6?. The distance between the screen and the double slit is ? = 1?. Calculate the distance between the 0th and 1st interference maximum. I need asap please

X rays with a wavelength of 0.105 nm are diffracted by a crystal with a simple cubic lattice. Diffraction maxima are observed at angles 31.6° and 55.4° and at no angles between these two. What is the spacing between the atomic planes that cause this diffraction?

X rays from a copper X- ray tube (A =204 pm) were diffracted at an angle of 35 degrees by a crystal of silicon. Assuming first- order diffraction. Assuming ( n=2 in the bragg equation, what is the interplaner spacing (d) in silicon? (A) 219 pm (B) 217 pm (C) 215 pm (D) 213 pm

A single beam of electrons shines on a single slit of width 9.5nm. A diffraction pattern (of electrons!) is formed on a screen that is 7.6m away from the slit. The distance between the central bright spot and the first minimum is 1.9cm.What is the wavelength (nm) of the electrons?Make use of the small angle approximation

The electron interference pattern as shown was made by shooting electrons with 50 keV of kinetic energy through two slits spaced 1.0 mm apart. The fringes were recorded on a detector 1.0 m behind the slits.a. What was the speed of the electrons? (The speed is large enough to justify using relativity, but for simplicity do this as a nonrelativistic calculation.)b. Figure is greatly magnified. What was the actual spacing on the detector between adjacent bright fringes?

Rayleigh’s criterion is used to determine when two objects are barely resolved by a lens of diameter d. The angular separation must be greater than θR where θR = 1.22 λ/d In order to resolve two objects 4000 nm apart at a distance of 20 cm with a lens of diameter 5 cm, what energy (a) photons or (b) electrons should be used? Is this consistent with the uncertainty principle?

A single beam of electrons shines on a single slit of width 8.7nm. A diffraction pattern (of electrons!) is formed on a screen that is 3.9m away from the slit. The distance between the central bright spot and the first minimum is 5.7cm.What is the kinetic energy (keV, i.e. kilo electron-Volts) of the electrons?Make use of the small angle approximation.

Electrons, all with the same speed, pass through a tiny 17-nm-wide slit and create a diffraction pattern on a detector 55 mm behind the slit. What is the electron's kinetic energy, in eV, if the central maximum has a width of 3.5 mm?

An electron microscope passes 1.00-pm-wavelength electrons through a circular aperture 2.00 μm in diameter.What is the angle between two just-resolvable point sources for this microscope?

A modified oscilloscope is used to perform an electron interference experiment. Electrons areincident on a pair of narrow slits 0.060 μm apart. The bright bands in the interference pattern areseparated by 0.400 mm on a screen 20.0 cm from the slits. Determine the potential differencethrough which the electrons were accelerated to give this pattern.)