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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.
Deduce an expression for the electric potential because of an electric dipole at any point on its axis. Mention one contrasting feature of electric potential of a dipole at a point
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The Millikan experiment showed that electric charge was: a) Negative b) Quantized c) Positive d) Immeasurable Ans: The Millikan experiment showed that elec
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describe the cnstruction of optical fiber
A lead bullet moves horizontally with a velocity of 130 ms-1 and embedded into a cement wall after collision. If the specific heat capacity of lead = 130 JKg-1°C-1 and all heat pro
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Find the lowest frequency for which destructive interference Two loudspeakers, A and B, are driven by the same amplifier and emit sinusoidal waves in phase. Speaker B is 2.00 m
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c). at what speed does it hit the ground? d). what total length of time is the ball in the air
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