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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.
Water accelerated by a nozzle to 20 m/s strikes the vertical back surface of a cart moving horizontally at a constant velocity of 5 m/s in the flow direction. The mass flow rate of
1. You now pass the signal + interference through a 2-section 1.0 kHz low pass filter with a rolloff of 40 dB/decade. Make a plot of the waveform of the filter output over the time
ELASTIC COLLISION: "The collision in which both linear momentum and K.E are conserved is said to be elastic collision". OR "In the ideal case when no K
the magnetic field at a dictance of 2cm from the axis of a straight conductor carrying current is 12mT.Find the currentin the conductor?
Earth's atmosphere is separated into four layers: The troposphere (0-10 km), the stratosphere (10-50 km), the mesosphere (50-80 km), and the thermosphere (80-500 km).
How is radiation emitted from the body? The body radiates energy by thermal conduction by the skin to the air, clothes, etc, around the body. A small amount of energy would als
NEGATIVE ACCELERATION OR RETARDATION OF DECLERATION: If velocity of a body is reducing, then its acceleration is said to be negative. The direction of negative acceleration is
The method by which the identity of a nucleus is changed when it is bombarded by an energetic particle is known as nuclear function. The general relation for the nuclear reaction i
Get an expression relating T and V in an adiabatic reversible expansion of a gas obeying the equation of state PV = nRT.
An unknown material has a normal melting/freezing point of -26.3° C, and the liquid phase has a specific heat capacity of 160 J/(kg · C°). One-tenth of a kilogram of the solid at -
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