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Write down an expression for the angle of the first minimum of diffraction of light of wavelength by a circular aperture of diameter d.
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- The interplanar distance of (101) plane of ZnO crystal is 0.45 nm. If the first-order diffraction maximum is observed at an incidence angle of 36.2°, what is the wavelength of the X-ray scattering from this crystal? And estimate the crystallite size of the ZnO nanomaterial if FWHM of (101) plane is 2.51° (degree to radian Degree x T/180) and k = 0.9.A third-order diffraction maximum is observed when a 0.862 Å X-ray beam is diffracted by the planes (111) of a copper crystal. The incident and diffracted beams form angles of 38.26° with the planes. Find the distance between adjacent (111) planes.Using Bragg’s law, calculate the diffraction angles (2θ) for all the peaks in thediffraction pattern of aluminum (Al) powders, given that Al has the FCC (facecentered cubic) crystal structure, and has an atomic radium of 0.143 nm. Please verify they are the first order diffraction patterns.
- B/A beam of X-ray of wavelength 0.071 nm is diffracted by (100) plane of rock salt with lattice constant of 0.28 nm. Find the angle of the first-order diffraction?Is it possible to produce interference effect between the o-ray beam and e-ray beam, which are separated by a calcite crystal from a unpolarized incident beam by recombining them? Explain your answer with proper justification.The metal rubidium has a BCC crystal structure. If the angle of diffraction for the (321) set of planes occurs at 27.00 degrees (first-order reflection) when monochromatic x-radiation having a wavelength of 0.0711 nm is used, compute the interplanar spacing for this set of planes. Final answer in 4 decimal and in nm.
- A beam of light with wavelength of 1.00 µm and M2 = 20 is incident on an aperture of 1.5 mm diameter. a) Calculate the divergence angle of the beam in degrees (give the cone full-angle). b) Calculate the diameter of the beam at a distance of 10.00 m away from the aperture in the propagation direction in units of cm. c) It is given that the longitudinal (temporal) coherence length is 70 times the transverse (spatial) coherence length. Calculate the wavelength linewidth of the light in units of pm.aA light of wavelength 4051 Å is incident normally on a glass slab of thickness 5 cm and R.I. 1.6. The beam takes the same time to travel from the source to the incident surface as it takes to travel through the glass slab. What is the distance of source from the incident surface. (given : C, = 3 x 10° m/s)He:Ne laser operated in threshold condition. Reflection coefficients of the mirrors are: 0.999 and 0.97. Length of the laser is 50 cm. Active medium gain is 1.02. Calculate the Loss factor and the loss coefficient.
- A material has an absorption coefficient of a-0.39 mm1 at a particu lar wavelength, for which an absorption measurement is carried out. The measured sample is 1 mm thick. Calculate the attenuation (1/lo) of the lightProblem 5: Prove that the coherence distance of the laser emission is d = 4 and find its valued if the emission line exposure is 450 MHzA Gaussian beam is incident from air (n = 1) into a medium with a planar boundary and refractive index n = 1.3. The beam axis is normal to the boundary and the beam waist lies at the boundary. Sketch the transmitted beam. If the angular divergence of the beam in air is 1 mrad, what is the angular divergence in the medium?
