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Question 1: Evaluate 0∫2Π dθ/(5-3cosθ)
Question 2: Using contour integration, evaluate the real integral 0∫Π (1+2cosθ)/(5+4cosθ).dθ
Question 3: Find the values of 0∫2Π ecosθ cos(sinθ - nθ)dθ
Question 4: Evaluate 0∫∞ cos mx/(xr +1) dx
Calculate the magnitude of the maximum orbital angular momentum Lmax for an electron in a hydrogen atom for states with a principal quantum number of 44
A hollow spherical conductor, carrying a net charge +Q, has inner radius r[1] and outer radius r[2] = 2r[1]. At the center of the sphere is a point charge +Q/2. (a) Write the electric field strength E in all three regions as a function of r.
assume four objects each of mass m are placed at the corners of a square os side length, How much work is needed to separate the planets
A space station is constructed in the shape of a hollow ring of mass 4.95 x104 kilogram. Obtain how long must the rockets be fired if each exerts a thrust of125 Newton
An oscillator with a mass of 500 g and a period of 0.50s has an amplitude that decreases by 1.0% each complete oscillation. If the initial amplitude is 20 cm, what will be the amplitude after 21 oscillations?
A railroad flatcar of weight 7840 N can roll without friction along a straight horizontal track. What is the change in velocity of the car
Near the surface of the Earth, a beanbag is thrown at an angle ? = 45? from the top of a building a height h above the ground, what was the initial speed of the beanbag
A super ball of mass 0.05 kg is dropped from a height of 10 cm above a table top. It bounces off the table and rises to the similar height. find the average force exerted by the table on the ball
The oscilloscope prints out the oscillating sine wave from the AC source. IF the peak to peak value is given as 406.91V, what is the effective voltage.
At what speed, in m/s, would a moving clock lose 3.2 ns in 1.0 day according to experimenters on the ground?
White light is incident on a diffraction grating. The interference pattern is projected on a screen. What appears at the center of the pattern?
Two particles, one with charge -7.13 %u03BCC and one with charge 7.75 %u03BCC, are 3.59 centimeters apart. What is the magnitude of the force that one particle exerts on the other
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