a) For a non-scattering medium where the absorption coefficient (w.) of the medium is 0.10 cm', what is the average distance traveled by photons from a point source with an intensity of 100 mW/cm at the origin of a Cartesian coordinate system (0,0,0) to the detector point (2 cm, 2 cm, 2 cm). b) If one adds scattering (e.g. milk) into the medium such that scattering coefficient p. of the medium becomes 10 cm', then what would be the average distance photons traveled. c) What are the % changes in the pathlength and intensity (compared to no scattering medium), briefly explain the reasoning.
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A 4 kg block is attached to a spring as shown in the figure. The length at rest of the spring is 20 cm. When we start the chronometer, the speed of the block is 0.3 m/s, it is moving upwards and it is below its equilibrium position. We notice that it's total energy is 0.72 Joule and the amplitude of its movement is 10 cm. a) Find the equation of motion of the block. b) Calculate the length of the spring at time t = 4s
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a plane wave with wave number k is progressing in a perpendicular fashion towards a triangular prism, made up of one straight angle and a top angle designated as θ (see illustration). a) assume that the refraction index outside of the prism is equal to 1, while inside the prism it is n. Please draw out the ray's trajectory, and calculate the change in angle between the incoming ray and the outgoing ray as a result of its trajectory through the prism. b) it is given that outside of the prism the wave satisfies the dispersion relation
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An airplane moves forward at a speed of 971 km/hr. The frontal area of the intake to one of the jet engines is 0.80m2 , and the entering air density is 0.736 kg/m3 . A stationary observer estimates that relative to earth, the jet engine exhaust gases move away from the engine with a speed of 1,050 km/hr. The engine exhaust area is 0.558 m2 and the exhaust gas density is 0.515 kg/m3 . Estimate the mass flow rate of fuel into the engine in kg/hr.
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