A double-slit experiment is performed with sodium light (λ = 589.0 nm). The slits are separated by 1.05 mm, and the screen is 2.357 m from the slits. Find the separation between adjacent maxima on the screen.
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- At room temperature, the diffractogram of a cubic material with lattice parameter of 10Å presents a peak at 2θ = 20o. At a higher temperature, the lattice parameter has expanded 20%. Calculate the 2q value of the diffraction peak of the material at the high temperature. λλ is fixed. Do not assume a particular (hkl) set of values, nor a value for λ.An electric current through hydrogen gas produces several spectral lines from the transitions to n = 2, called the Balmer series. The four most visible ones are at 410.2 nm, 434.0 nm, 486.1 nm, and 656.3 nm. Assume you are observing these lines with a diffraction grating of 5870 lines per centimeter. a) What is the angle (in degrees) of the second-order maximum for the 410.2 nm line? b) What is the angle (in degress) of the second-order maximum for the 434.0 nm line? c) What is the angle (in degrees) of the second-order maximum for the 486.1 nm line? d) What is the angle (in degrees) of the second-order maximum for the 656.3 nm line?A photographic film is coated with a silver bromide layer. When light falls on this film, silver bromide molecules dissociate and the film records the light there. A minimum of 0.6 eV is needed to dissociate a silver bromide molecule. Find the maximum wavelength of light that can be recorded by the film.
- 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.A highly collimated (parallel) beam of electrons is shot through a single slit of width 17.5μm. The electrons are moving with a speed of 7.357.35km/s. When they hit the screen, located at distance 1.57m away, the distribution of hitting positions makes a pattern with a central peak and minima on either side. What is the width of the central peak (equivalently, distance between the minima on either side)? The mass of an electron is 9.11×10^−31 kg.The wavelength of characteristic x-rays in the K, line from a particular source is 0.152 nm. Determine the material in the target.