Two sinusoidal waves of wavelength A = 2/3 m and amplitude A = 6 cm and %3D %3D differing with their phase constant, are travelling to the left with same velocity v = 50 m/s. The resultant wave function y_res (x,t) will have the form:
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A: NOTE: As per guidelines, I can solve first question only. If you need help with other question, then…
Q: Two sinusoidal waves of wavelength A = 2/3 m and amplitude A = 6 cm and differing with their phase…
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- The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?X-rays of wavelength 0.103 nm reflects off a crystal and a second-order maximum is recorded at a Bragg angle of 25.5°. What is the spacing between the scattering planes in this crystal?Monochromatic light of frequency 5.51014 Hz falls on 10 slits separated by 0.020 mm. What is the separation between the first and third maxima on a screen that is 2.0 m from the slits?
- If y(x,)= (8.3mm) sin [kx+ (o00 nd/s)t + @ disabes a wave teaveling along how much tioe does ang ginen polnt on the steing take to move between dispacements. 生一 %3D a steing, = + 2,7mm And =-2. 7 mm ?ml (0.0700 nm) 2d 2(0.314 nm) Find the grazing angle corresponding sin e = 0.111 to m = 1, for first-order interference: e = sin-1(0.111) = 6.37° Repeat the calculation for third-order interference (m = 3): mì 3(0.0700 nm) sin e = 2d = 0.334 2(0.314 nm) e = sin(0.334) = 19.5° LEARN MORE REMARKS Notice there is little difference between this kind of problem and a Young's slit experiment. QUESTION If the grazing angle is smaller, the distance between planes in the crystal lattice is: larger. O the same. O smaller. PRACTICE IT Use the worked example above to help you solve this problem. If the spacing between certain planes in a crystal of calcite (CaCO,) is 0.313 nm, find the grazing angles at which first- and third-order interference will occur for x-rays of wavelength 0.0661 nm. 0, = 6.06 82 =| 18.47 EXERCISE HINTS: GETTING STARTED | I'M STUCK! X-rays of wavelength 0.0620 nm are scattered from a crystal with a grazing angle of 11.1°. Assume m = 1 for this process. Calculate the spacing…Add the following quantities graphically, and using the phasor model y₁ = 10 sin(wt) y₂ = 10 sin(wt + 120°) y3 = 10 sin(wt + 240°)
- b)- Two identical mekium along a stoethel storing. If toavel in 8ome diaection ond eome Waves anmpele tade of sesul tant times cmplitude of each worve what should be phase diffesene blw two waves ? write Your ans Wave is 3 deg, vad chd waveloths z in 150g is suebended with a vestical b8ing Undex a MC)-A mass dambing vill it take to deduce its mechanical enesay to one thisd of ito initial ? to oscilate Com tnt of bogla How long lof k-b5 Npm- chd set e Undera)- Two Waves ohd in tesfesence with each other. The anblitide Ym of Each wv is 8.9mm chnd phote diffeence blw them is go°. chot Phage differne in tadineond wavelmothe, will give Jesullant wave mo ve in 8 dme ste tched staing dise tion abng a on Onoplitude of 3.5mm?Q1/ A/ Consider a resonator consisting of two concave spherical mirrors both with radius of curvature 4 m and separated by a distance of 1 m. Calculate the minimum beam diameter of the TEMy mode at the resonator center and on the mirrors when the laser oscillation is Art laser wavelength 2=514.5 nm. Then, Find if this cavity is stable or not. B/ One of the mirrors in A is replaced by a concave mirror of 1.5m radius of curvature, calculate the position of minimum beam radius. Then calculate the beam waist and radius of curvature at 150 cm from M1.
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