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You make a solenoid with a radius of 5.0 cm radius using a

copper wire of the length of 200 m and diameter of 0.05 cm.

what will be the magnitude of the magnetic field strength

along the axis of it, if you run a current of 30.0 A through it?

Now you hold a circular loop of a wire with the radius of 8 cm

and a resistance of 2 ohm around this solenoid and want to

induce a current in it. What would the value of this current be

if you change the current in your solenoid with a rate of 0.5

A/s?

In 200 words explain how loud is too loud? When is a sound too loud? What can be done about sounds/noises that are too loud for you?

Q.3:(a) Briefly describe the radioactivity phenomena with examples.

(b) The counting rate of a radioactive source in the beginning (t=0) is 4000 counts/s. After 10 seconds the counting rate drops to 1000/s.

(i) What is the half-life of the radioactive source?

(ii) What will be counting rate after 20 s?

1. In Spain COVID-19 number of death outbreak a mathematical inverse model.

Particles of charge -60 E-6 C, +40 E-6 C, and – 95 E-6 C are placed along the x-axis at 0.2 m, 0.4 m and 0.6 m, respectively. (a) Calculate the magnitude of the net electric field x = 0.3 m. (b) Calculate the magnitude of the net force on the +40 E-6 C charge

Q.1: (a) What are “nucleons” and their types? How are those held together in a tiny nucleus despite the intense repulsive Coulomb force among the protons? Describe briefly.

(b) Estimate the nuclear radii of the 4He and 238U, given that Ro=1.2 fm

(c) Define a “nuclear reaction” and provide few examples.

A 0.350-kg ice puck, moving east with a speed of 5.24 m/s, has a head-on collision with a 0.900-kg puck initially at rest. Assume that the collision is perfectly elastic.

(a) What is the speed of the 0.350-kg puck after the collision?

(b) What is the direction of the velocity of the 0.350-kg puck after the collision?

(c) What is the speed of the 0.900-kg puck after the collision?

(d) What is the direction of the velocity of the 0.900-kg puck after the collision?

TropSun is a leading grower and distributer of fresh citrus products with three large citrus groves scattered around central Florida in the cities of Orlando, Eustis, and Winter Haven. TropSun currently has 275,000 bushels of citrus at the grove in Mt. Dora, 400,000 bushels at the groves in Eustis, and 300,000 bushels at the grove in Clermont. TropSun has citrus processing plants in Ocala, Orlando, and Leesburg with processing capabilities to handle 200,000, 600,000, and 225,000 bushels respectively. TropSun contracts with a local trucking company to transport its fruit from the groves to the processing plant. The trucking company charges a flat rate for each mile that each bushel of fruit must be transported. Each mile a bushel of fruit travels is known as a bushel-mile. The following table summarizes the distances (in miles) between the groves and processing plant.

TropSun wants to determine how many bushels to ship from each grove to each processing plant to minimize the total number of bushel-miles the fruit must be ship. [ Another way to put it, MINIMIZE the TRANSPORTATION costs of the bushel-miles from the groves to the Plants] (30 Points) HINT: What decision variables can change.

1. Define the decision variables.

2. Define the Constraints

3. Implement and Solve the Problem in Excel

4. Analyze the Solution, what is it telling the decision maker?

1. A person is standing in a room maintained at 20 degrees of C at all times. The inner surfaces of the walls, floors, and the ceiling of the house are observed to be at an average temperature of 10 degrees C in winter and 25 degrees C in summer. Determine the rate of radiation heat transfer between this person and the surrounding surfaces if the exposed surface area and the average outer surface temperature of the person are 1.5 m^2 and 29 degrees C respectfully. The emissivity of human skin at these wavelengths/temperatures is 0.95. Now, If the person above were in a breezy room, how much additional energy would be lost via convection? The convection heat transfer coefficient is 6 W/m^2 K? (b) What percentage of the total is this? (Calculate this for summer and for winter.)

A solid 0.5350-kg ball rolls without slipping down a track toward a loop-the-loop of radius R = 0.8150 m. What minimum translational speed vmin must the ball have when it is a height H = 1.276 m above the bottom of the loop, in order to complete the loop without falling off the track?

The common isotope of uranium, 238U, has a half-life of 4.47×109 years, decaying to 234Th by alpha emission.

Part A: What is the decay constant? Express your answer in inverse seconds to three significant figures

Part B: What mass of uranium is required for an activity of 2.00 curie? Express your answer in kilograms to three significant figures.

Part C: How many alpha particles are emitted per second by 11.0 g of uranium? Express your answer in decays per second to three significant figures.

Question

The call center of a major energy provider expects to be particularly busy during the early shift in the early Winter. During the early shift calls arrive at a mean rate of 240 per hour and are believed to arrive at random.

(a) Explain briefly why it might be reasonable to expect these calls to arrive at random.

(b) What would be the probability distribution of the number of calls arriving during a five-minute period in the early shift? (There is no need to calculate any probabilities in this part of the question).

(c) Show (using probability tables or probability formulae) that the probability that there are more than 26 calls in a five-minute period is 0.0778. Show your working.

(d) Staffing levels during the early shift are such that they can cope with occasional peaks in arrivals, but service levels deteriorate rapidly when they experience a number of peaks close together. Continuing to assume that calls arrive at random, show that the probability that there are 6 or more five-minute periods in an hour in which the number of calls exceeds 26 is less than 1 in 1000. Show your working.

(e) Quiet periods only occur very rarely during the early shift in the call centre, so when gaps between calls exceed 2 minutes the management takes it as a signal of a telephone system failure and resets the system. What is the chance they reset the system unnecessarily in response to a 2 minute gap? Justify your method.

(f) You have seen in class how a Normal distribution can be used to approximate a Binomial distribution under certain conditions on n and p. (Remember that the Normal distribution was chosen to match the Binomial distribution in mean and standard deviation). A Normal distribution can also be used to approximate a Poisson distribution under certain conditions. By applying the same idea, use the Normal distribution to provide an approximate answer to part (c) above. Explain your method carefully.

(g) Suggest the conditions under which a Normal distribution can be used to approximate a Poisson distribution. Justify your answer.

The iodine isotope 13153I is used in hospitals for diagnosis of thyroid function. 732 μg are ingested by a patient. The half-life the iodine isotope 13153I is 8.0207 days and mass is 130.906 u. Part A: Determine the activity immediately after ingestion. Express your answer using three significant figures. ∣∣dNdt∣∣0 =_____(decays/s) Part B: Determine the activity 1.00 h later when the thyroid is being tested. Express your answer using three significant figures. ∣∣dNdt∣∣ =_______ decays/s Part C: Determine the activity 4.0 months later. Suppose that each month has 30 days. Express your answer using two significant figures. ∣∣dNdt∣∣ =_____ decays/s

A muon is a type of unstable subatomic particle. When high-speed particles from outer space (sometimes called "cosmic rays") collide with atoms in the upper atmosphere, they can create muons which travel toward the Earth. Suppose a muon created in the atmosphere travels at a speed of 0.971c toward the Earth's surface for a distance of 4.13 km, as measured by a stationary observer on Earth, before decaying into other particles.

(a) As measured by the stationary observer on Earth, how much time elapses (in s) between the muon's formation until its decay? 35.55 Incorrect: Your answer is incorrect. Note that both the given speed of the muon and the given distance it travels is measured with respect to the Earth. How is the time related to speed and distance? Be sure to convert the speed to meters per second. s

(b) Find the value of the gamma factor that corresponds to the muon's speed. 4.182 Correct: Your answer is correct.

(c) Now imagine an observer that "rides along" with the traveling muon, moving at the same speed. From this observer's perspective, how much time elapses (in s) between the muon's formation until its decay? s

(d) Again from the perspective of the observer traveling along with the muon, what distance (in m) does the muon travel, from its formation to its decay? m

(e) Now imagine a third observer, who is traveling toward the muon at a speed of c 2 , as measured with respect to the Earth. How does the muon's lifetime, as measured by this observer, compare to the lifetime as measured by the stationary observer on Earth?

- The lifetime measured by the moving observer is the same as the lifetime measured by the observer on Earth.

- The lifetime measured by the moving observer is shorter than the lifetime measured by the observer on Earth.

- Not enough information is known to make a comparison.

- The lifetime measured by the moving observer is longer than the lifetime measured by the observer on Earth.