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- X rays scattered from a crystal have a fi rst-order diffraction peak at θ =12.5°. At what angle will the second- and third-order peaks appear?Coherent light is passed through two narrow slits whose separation is 20.0 mm. The second-order bright fringe in the interference pattern is located at an angle of 0.0300 rad. If electrons are used instead of light, what must the kinetic energy (in electron volts) of the electrons be if they are to produce an interference pattern for which the second-order maximum is also at 0.0300 rad?X-rays with a wavelength of 0.0045 nm are used in a Compton scattering experiment. If the Xrays are scattered through an angle of 45o, what is the wavelength of the scattered radiation?
- After learning about de Broglie's hypothesis that material particles of momentum p move as waves with wavelength = h/p, an 80.0-kg student has grown concerned about being diffracted when passing through a 75.0-cmwide doorway. Assume significant diffraction occurs when the width of the diffraction aperture is less that 10.0 times the wavelength of the wave being diffracted. (a) Determine the maximum speed at which the student can pass through the doorway if he is to be significantly diffracted. (b) With that speed, over what time interval does the student pass through the doorway if it is in a wall 15.0 cm thick? State how your answer compares with the age of the Universe, which is about 4 x 10¹7 s.Waves of wavelength λ pass through an opening of width w. What relationship between λ and w is needed in order to observe a diffraction pattern?19). To get a de Broglie wave that is visible to human eyes (size-wise, not visibility-wise, so A > 0.1 mm), of an particle, what particle should it be and what is the greatest speed it can be moving? Table 33.2 may be helpful.
- Calculate the maximum λ∆/λ of Compton scattering for blue light (λ = 480 nm). Could this be easily observed?A single slit receives light with wavelength 534 nm. The full central maximum on a screen behind the slit draws view from -90° to +90°. The light is now replaced by a beam of electrons, each of which has a kinetic energy ehb of 320 eV. at what angle will the first minimum of the diffraction pattern occur?A CdTe planar wafer has an absorption coefficient of 3.2 × 10^4??−1for light ofwavelength 530 nm Determine the minimum thickness the CdTe wafer has to be for 95% of this wavelength to beabsorbed.
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