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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.
Explain briefly, with the help of circuit diagram, how V - I characteristics of a p-n junction diode are obtained ii (i) forward bias, and (ii) reverse bias. Illustrate th
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to measure the extension of an experimental wire due to different pulling forces using searle''s apparatues.hence, determine the young modules of the material of the wire.
A sled and its rider are perched at the top o a hill that is 35 m tall. If the gravitational potential energy is 3.0 x 10 4 J. What is the weight of the sled and rider?
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When a metal is illuminated with radiation with a wavelength of 152 nm, photoelectrons are ejected with a velocity of 7.9 x 10 5 m/s. What is the work function, in eV, of th
a projectile is fired horizontally from an inclined plane (of inclination 45 with horizontal)with speed=50 m/s.if g=10 m/s2 the range measured along the incline is
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