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1. A very narrow laser beam is shone into a sphere of solid glass that has uniform refractive index n>1 and radius ρ . The beam makes an angle α in air with the normal to the surface of the sphere.
Sketch the path of the beam in the circular cross-section of the sphere defined by the normal and the beam direction and show all reflected and transmitted rays. Using Snell's Law at each reflection, explain why the beam cannot become a whispering gallery ray propagating around the inner surface of the sphere.
2. An asymmetric, multimode, step-profile slab waveguide has a core index of 1.5. The cladding index above the core has value 1.49 and the cladding index below the core has value 1.48. Rays propagate in the core in the x-z plane and make an angle θz relative to the z-axis along the centre of the waveguide.
(a) Determine the range of (positive) values of θz in degrees for which only bound rays will propagate along the waveguide.
(b) How many different types of rays can propagate along the waveguide?
Sketch a typical path for each type of ray.
(c) Determine the values of θz in degrees that delineate between the 3 types of ray paths.
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Reducing friction with ball bearings Find two tin cans that have a deep groove approximately the top, such as paint cans. Lay marbles in single groove and invert the other can
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The current is an RL circuit drops from 1.1 A to 13 mA in the first second following removal of the battery from the circuit. If L is 12H, find the resistance R in the circuit.
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What are the types of compound pendulum? ?
working model needed.........please help!!!!!!!!!!!!
Bronze: Copper when alloyed with tin (8% to 16%) and a very small percentage of a third element like cadmium, beryllium, phosphorous, silicon etc, is called Bronze. Bronzes are gi
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