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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.
IONIC BOND Ionic bonding involves the transfer of electrons from an electropositive atom (an atom that tends to "donate" an electron) to an electronegative atom (an atom that t
Consider a person having mass M and holding two balls every of mass m is at rest over a frictionless surface. Now the person throws one ball towards right direction with velocity "
Their conductivity lies between conductor and insulator. Their resistivity is usually high and temperature coefficient of resistance is always negative. These are materials which a
A 9.0-kg crate sits on a level, rough floor. A 61-N force is required just to begin it moving. What is the size of the coefficient of maximum static friction?
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velocity of sound is 330m/s and wavelength 1.5 m .With time interval of 1/1000 sec related phase difference will be
derive an expression for drift velocity
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how can we conclude whether at some time interference will take place or not with the help of the concept of temporal coherence?
a) A charge Q is placed at the centre of a cube. determine the flux of the electric field through the six surfaces of the cube. b) Determine the magnitude of the electric field
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