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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.
A 15-kg child experiences an acceleration of 0.25 m/s2 as she is pulled 1.7 m horizontally across the floor by her sister. Calculate the change in the child's kinetic energy.
Unit of Charges: The S.I unit of charge is Coulumb represented by "c".
One would expect proton to have very large: (1) Ionization potential (2) Radius (3) Charge (4) Hydration energy Ans:(4) Hydration energy
the numerical ratio of displacement to the distance covered is always ???????????????
A piston-cylinder device initially contains 0.8 m 3 of saturated water vapour (steam) at 250 kPa. At this state, the piston is resting on a set of stops and the mass of the piston
Two trains on separate tracks move toward one another. Train 1has a speed of 140 km/h, train 2 speed of 55.0 km/h. Train 2 blows it shorn, emitting a frequency of 500 Hz. What is t
In isobaric process pressure of the gas is constant overall the process. As, V/T is constant in isobaric process.
A thin rod of length 1 m is fixed in a vertical position inside a train, which is moving horizontally with constant acceleration 4 m/s2. A bead can slide on the rod, and friction
What is the type of bonding in silicon? (A) Ionic. (B) Covalent. (C) Metallic. (D) Ionic + Metallic Ans: Bonding in silicon is covalent type.
Suppose the sides of a closed polygam represent vector arrangend head to tail rule , what is sum of these vectors ?
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