The uniform line charge density extends over entire ring λ=1.96E-6 C/m Mass of ring M=0.13 kg. Radius of ring R=0.67 m. Radius of Magnetic field region, a=0.41 m. Magnetic field, B=1.61 T. The magnitude of the angular velocity of the wheel after the field is suddenly switched off is w= radians/sec.? The moment of inertia of a loop is MR2.

Yasser Arafat, former chairman of the Palestine Liberation Organization (PLO), died in November 2004, after a brief illness. Not surprisingly, his death aroused considerable suspicion, particularly given that his symptoms were somewhat consistent with acute radiation poisoning. In November 2012, samples of tissue were obtained from his corpse and tested—by three independent research groups—for evidence of poisoning by a highly radioactive isotope of Polonium. The results, though far from conclusive, suggest that Arafat died as a result of polonium-210 poisoning.

Polonium-210 is a short-lived isotope in the uranium decay series. Together with thallium-206, polonium-210 is a penultimate daughter product in the 238U → 206Pb decay series. Polonium-210 occurs in trace amounts in uranium ores; annually, about 100 grams of 210Po is produced (synthetically) in reactors. 210Po decays to 206Pb via alpha emission with a radiogenic half-life of 138 days. The ejected alpha particle has an energy of 5.3 MeV. The biological half-life of 210Po is about 40 days, i.e. it takes your body about 40 days to excrete half the amount of 210Po originally ingested. For the purposes of this class, the fatal internal dose (D50) of radiation from an ingested alpha emitter like 210Po is approximately 0.25 Joule of energy absorbed per kilogram of body mass. (Note: The D50 notation indicates the dosage that proves fatal for half of a population; D50 ~ 0.25 J/kg for 210Po.) For those interested in dosage units, 0.25 J/kg = 0.25 Gy = 5 Sv = D50 for an alpha emitter absorbed internally (Q factor of 20).

1 (20 pts.): Assuming access to a ‘fresh’ polonium source, i.e. straight from the reactor, would one microgram (1 μg) of ingested 210Po kill Arafat? (FYI: 1 μg of 210Po is equivalent to approximately one grain of silt.) If yes, then approximately what time interval was required to absorb a fatal dose? Note: There is typically a lag time of days to weeks between the time at which a fatal dose is absorbed and the actual time of death. Arafat died about two weeks after the onset of symptoms. Discuss very briefly some of the complications we might expect in analyzing Arafat’s corpse for signs of 210Po poisoning in 2012.

1) clear and concise explanations of your reasoning and 2) careful calculations using scientific notation. The answer should be presented clearly and logically.

please paraphrase this paragraph

Fluorescence is a relatively faster phenomenon as compared with phosphorescence because of spontaneous emission of energy from S1 to S0. If it chooses the nonradiative path from S1 to a triplet state, T1 results in the slower decay of the process to reach the ground state S0. During this time interval, quenchers such as molecular oxygen can be involved in phosphorescence emission of the fluorophore. The process of quenching of the excited fluorophore in the triplet state by molecular oxygen can be one of the three different possible pathways such as energy transfer, electron transfer, and simple physical deactivation.

For the transition-metal complexes such as ruthenium, the energy-transfer mechanism is the most possible mechanism and it is dominated by the molecular collision thus limited by the diffusion of the quencher and is given by the Stern−Volmer relation. On the basis of the data derived from previous reports, a hydrophobic fluorophore of the ruthenium-based metal-ligand complex was selected for our sensing applications. To avoid the photobleaching effect of the fluorophore, a suitable substrate material has to be chosen and this provided broad adaptability to the specific needs.A fluorophore can be tethered or encapsulated onto a substrate material, and it can be in the form of a thin film or particle.

please not in handwriting

We spent an entire semester talking about Newtonian mechanics (F=ma, KE=1/2 mv2) so that knowledge must be important. The truth is that those equations are almost precisely correct except for the fastest particles. Let's see if we can find out how fast something must be going for those approximations to be off by a signficant amount. Assume we have a object with a mass of mo = 1gram.

1) What is the object's Newtonian kinetic energy at this velocity?K= J

2)Look to see how much the two values of kinetic energy differ. Now the object is going 0.12 c. What is the object's velocity?v = m/s

3)What is the object's relativistic kinetic energy at this velocity?K= J

4)What is the object's Newtonian kinetic energy at this velocity?K= J

5)Now we're going really fast. Look to see how much the two values differ now. Next, the object is going 0.59 c. What is the object's velocity?v = m/s

6)What is the object's relativistic kinetic energy at this velocity?K= J

7)What is the object's Newtonian kinetic energy at this velocity?K= J

8)Next, the object is going 0.95 c. What is the object's velocity?v = m/s

9)What is the object's relativistic kinetic energy at this velocity? K= J

10)What is the object's Newtonian kinetic energy at this velocity?K= J

The evil Empire from Star Wars is running a factory that manufactures droids. The factory is powered by a heat engine, which uses a hot reservoir at 650 Kelvin and a cold reservoir at 450 Kelvin, and which (somehow!) operates at the theoretical maximum eciency for a heat engine. The Empire must supply the engine with 1000 kilojoules of heat for every droid it wants to produce. A group of rebels decide to sabotage the factory. They manage to cool the hot reservoir down to a temperature of 500 K, which makes the engine less ecient. After this change, how many joules of heat must the Empire supply to the engine in order to produce one droid?

Explain the concepts of reflection, refraction (Snell’s Law), and total internal reflection using ray diagram.

A certain lens focuses light from an object 2.15 m m away as an image 48.6 cm c m on the other side of the lens.

Two converging lenses are placed 30.0 cmcm apart. The focal length of the lens on the right is 20.5 cmcm , and the focal length of the lens on the left is 11.5 cmcm . An object is placed to the left of the 11.5 cmcm focal-length lens. A final image from both lenses is inverted and located halfway between the two lenses. How far to the left of the 11.5 cmcm focal-length lens is the original object?

“If each box of a dumb waiter weighs 10 pounds, and one pound on either box is necessary to overcome friction, what weight is in a box descending 8 feet per second 4 seconds after starting down?  What is the momentum of the descending box?”

A double slit separation is 3 mm and is illuminated by a white light. A screen is placed 3.0 m away to observe the interference pattern. a) What is the angular separation of the 2nd order red (λ=700 nm) and 3rd order violet (λ=400 nm) bright fringe? b) How high is the 4th order fringe for the yellow color (λ=589 nm) on the screen? c) Is it possible to adjust the slit separation so that for the 1st order red coincides with 2nd order violet bright fringe?

A hot air balloon has a volume of 65,00 cubic feet of hot air. The balloon is at sea level on a standard day. If the temperature of the hot air in the balloon is 110⁰F, determine the lifting force of the balloon.

Try to explain how the X-ray film works. Why the doctor forbids the patient wears metal product when X-ray film is taken. [120 words]

A.) We start with some review problems A crate of mass 49.6 kg rests on a level surface, with a coefficient of kinetic friction 0.161. You push on the crate with an applied force of 345 N. What is the magnitude of the crate s acceleration as it slides?

B.) You place a crate of mass 37.4 kg on a frictionless 2.91-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.26 s after you released it. What is the angle of the incline?

C.) This time we have a crate of mass 38.7 kg on an inclined surface, with a coefficient of kinetic friction 0.249. Instead of pushing on the crate, you let it slide down due to gravity. What must the angle of the incline be, in order for the crate to slide with an acceleration of 7.86 m/s^2?

A wave on a string is described by y(x,t)=( 4.0 cm )×cos[2π(x/( 2.4 m )+t/( 0.30 s ))] , where x is in m and t is in s. Part B What is the wave speed? Express your answer in meters per second. Part C What is the wave frequency? Express your answer in hertz. Part D What is the wave length? Express your answer in meters. Part E At t = 0.75 s , what is the displacement of the string at x = 0.20 m ? Express your answer in centimeters.

Which of the following is/are true about light?
(i) In the ray approximation, light travels in a straight line unless it encounters an obstacle or new medium.
(ii) Light's electric field oscillates in a direction perpendicular to its direction of travel.
(iii) Light's magnetic field oscillates in a direction parallel to its direction of travel.

Please show all work including how you planned for the problem, did the problem, and a potential way to check! Thank you so much!