he chlorophyll in green leaves has its absorption maximum at a wavelength of 80 nm. Assume that the concentration of chlorophyll in leaves is 1.04*10-3 hol/L and that the absorption cross section, a(A=680 nm), of chlorophyll is 79*10-16 cm?/molecule. Determine the relative intensity of light at 680 nm hat travels through a leaf of 0.0200 cm thickness. Give your answer in %.
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- 1. The visible light of wavelength 5000˚A undergoes scattering from a crystal of refractive index 1.5. Calculate the maximum frequency of the phonon generated and the fractional change in the frequency of the incident radiation, given the velocity of sound in the crystal as 5000 m/s. 2. The Young’s modulus of NaCl in [100] direction is 5 × 1010N/m2 . Assuming that the extension in the [100] direction produces negligible contraction in the perpendicular directions, calculate the wavelength at which the electromanetic radiation is strongly reflected by the NaCl crystal. Atomic masses of Na and Cl are 23 and 35.5 a.m.u respectively.3. Gold has the structure as copper. The velocity of sound in gold is 2100 m/s and that in copper is 3800 m/s. If the Debye temperature of copper is 348 K, determine the Debye temperature of gold. The densities of gold and copper are 1.93 × 104kg/m3 and 8960kg/m3 and their atomic weights are 197.0 and 63.54 a.m.u respectively. 4. The Debye temperature of…Q. 1. An X-ray beam of wavelength 0.71 A is diffracted by a cubic KCL crystal of density 1.99x10^3 Kgm-3. Calculate the interplanner spacing for (200) planes and glancing angle for the second order reflection from these planes. The molecular weight of KCL is 74.6 amu and the Avagadro’s numberis 6.023x10^26 Kg-1 mole-1.A sodium laser emits a light beam of wavelength 589 nm in air, with a beam diameter of 3 mmand emitted power of 50 mW. Evaluate:i) the wavenumber k0,ii) the angular frequency ω, andiii) the peak amplitude of the electric field E0 in the laser spot (you may assume beam divergencedue to diffraction is negligible).Give the appropriate SI units in each case.
- SRS Consider the glass sheet in the path of X-rays. When passes through this sheet X-rays found with intensity reduced by 30%. The value of absorption cocfficient is : [Given In 1.428 = .356] g X-rays Sheet _— of glass - gmm, (a) Always less than unity (b) Less than 70 but more than 55 (c) Less than 20 (&) Always more than unity but less than 20A 15.0 mV helium-neon laser emits a uniform beam of circular cross section with a diameter of 2.0 mm. Find a) the maximum electric field in the beam. b) the total energy contained in a 1.00 meter length of the beam. c) the momentum carried by a 1.00 meter length of the beam?Give the momentum (in kg m/s) of a photon with wavelength 635.0 nm.
- Potassium chloride (KCI) has a set of crystal planes separated by a distance of d= 0.34 nm. At what glancing angle 0 to these planes would the first-order Bragg maximum occur for X-rays of wavelength 0.05 nm?Refractive index of water at 283K is 1.34 for radiation of wavelength 580 nm. What is the polarizability of the molecule?X ray diffraction in Potassium Chloride (KCl) results in a first order maximum when 97 pm wavelength X rays graze the crystal plane at 8.5 degrees. Find the spacing between crystal plane?
- The operating temperature of an indirectly heated filament of a vacuum tube is around 1050K. At what wavelength will it radiate maximum? Given b=0.288cm K.The photoelectric effect can be used in engineering designs for practical applications. For example, infrared goggles used in night-vision applications have materials that give an electrical signal with exposure to the relatively long wavelength of IR light. If the energy needed for signal generation is 7.5 x 10-20 J, what is the minimum wavelength? What is the frequency of light that can be detected? c = 2.998 x 10 m/s h = 6.626 x 10-34 J s mGiven the Dispersion relation n=1+2pi*(B/wavelength) where B is 10nm, find the group and phase velocity for light with a wavelength of 600nm