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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.
how nicol prism is constructed?
The boom DF and the column DE have a uniform weight of P55 N/m and the chain and load at F is P56 kN. Determine the Shear Force in kN rounded to 1 DP and the Bending Moment in kN.
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determine the magnitude of Poynting vector end the energy per unit time delivered to a wire of length land cross section A when electric current I flow in it
Number of Terminals in a MOSFET is (A) Two (B) Three (C) Four (D) Five Ans: Number of Terminals in a MOSFET is Three.
The work done by a friction force is: a) Always positive b) Always negative c) Always zero d) Either positive or negative depending upon the situation. An
A 25 N box is pulled vertically upward by means of a cord.Find the acceleration of the box if the tension in the cord is 35 N.
Write the commands that will create the following matrix. You can use only special matrix commands: Two cars started to move from zero position with (φ = 35o) as shown. F
In case of dextro rotation we consider angle positive & in case of leavo rotatory we consider negative. But in Maths Rotation to left increases value of angle ( + ve)& towards righ
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