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Verify that the boundary conditions for the electric and magnetic fields at the interface between two dielectric media lead to the Fresnel equations for the reflection coefficient for both the TE and TM modes.

Find the cumulative distribution function of the random variable X  representing the number of defective in problem a. Then using F(x). Find

        P(X=1) and P (0<X£2)


Sketch the Constant pressure cycle (Brayton Cycle) on clear p-v and T-s diagram. And explain all the four processes. 


A rectangular wooden beam (fb = 5.9 MPa, E = 17.3 GPa) has a cross-sectionalarea of 250 mm



by 500 mm. The length of the beam is 15 meters with pin and roller supports every fifth points. A vibrating



machine weighing 500 kg is located at the mid-lengthof the beam. The machine produces an



unbalanced force of 500 N operating at 300 rpm.Determine the following:




a) maximum static deformation under the weight of the machine,



b) maximum dynamic stress in the beam section under the unbalanced force,



c) force transmitted to the support, and



d) adequacy of the beam against bending. Use a dampingratio of 5%.

Problem 1 Stone A is hurled vertically upwards from a tower of height h with a speed vA0. Simultaneously, stone B is thrown vertically upwards from the ground with a speed of vB0. Given: h = 30 m ; vA0 = 15 m/s ; vB0 = 25 m/s ; g = 9.81 m/s 2 Find: 1. At which height and time do the stones fly past another? 2. At this time, what is the speed of stone A relative to stone B? 3. Draw the following diagrams: acceleration-time, speed-time and distance-time.Problem 2 In the system pictured below, point B slides with velocity vሬ⃗஻. Given: β, , vሬ⃗஻ Find: The velocity vሬ⃗஼ of point C by calculation


Convert the following numerical arithmetic expression into Reverse Polish


notation and show the stack operations for evaluating the numerical result.


(2 + 6)[7(3 + 5) + 1]

An instruction is stored at location 200 with its address field at location 201 . The


address field has the value 300. A processor register R1 contains the number 100.


Evaluate the effective address if the addressing mode of the instruction is (a) direct;


(b) immediate; (c) relative; (d) register indirect; Also explain with necessary diagram.

Convert the following arithmetic expressions from infix to Reverse Polish


notation. Also show positions in Stack by possible diagram.


a. P * Q + R* S + T* U


b. A * B + A * (B * D + C * E)


c. M + N * [O * P + Q * (R + S)]

How many characters per second can be transmitted over a 9600-baud line in each of


the following modes? (Assume a character code of eight bits.)


a. Synchronous serial transmission. Also draw timing diagram.


b. Asynchronous serial transmission with two stop bits. Draw timing diagram


c. Asynchronous serial transmission with one stop bit. Draw timing diagram.

Q2/ Estimate the fiber fault location if the time reflected from front pulse is 10 ns

and the reflected from far ends pulse is 15 ns, assume the core material is glass.


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