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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.
Path of a projectile The apparatus below can be used to indicate the independence of the horizontal and vertical velocities of a projectile. The projectile is a metal ball, and
A quarter of a wavelength is equal to how many degrees of phase? A quarter of wavelength is equaivalent to 90 degrees of phase.
An object in free fall has an acceleration of 9.80 m/s 2 assuming that there is no air resistance. What is the speed of an object dropped from the top of a tall cliff 3.50 s a
A bob hanged to astrirg in a box .it is displaced to an agle of 45 .then fid the acceleration of the box at this moment. Ans) gsin45,that is 10/1.4142.as it would have only tangen
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Three impedances are connected in series across a 100V, 2kHz supply. The impedances comprise: (i) An inductance of 0.45mH and 2 resistance, (ii) An inductance of 570µH a
Some phenomenon based on scattering: (i) Sky looks blue because of scattering. (ii) At the starting time of sunrise or sunset sun looks reddish. (iii) Danger signals are
what is the use of dead load?
In the Compton effect, a photon of wavelength l collides with a stationary electron. The wavelength of the emitted photon is: a) longer than l b) shorter than l c)
Echo: The sound heard after reflection from an obstacle is known as echo.
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