Physics Questions and Answers December 03, 2022

Which interaction has the highest electrostatic potential energy? A+1and-1particle separated by a distance of5nm. A +2 and -2 particle separated by a distance of 10 nm.

3. In each of the cases below, (1) sketch the velocity vector, (2) determine the magnitude of the velocity, and (3) find the angle of the motion with respect to the xaxis. (a) v 7.531 4.96 (b) v 5.458.52 m

A U - shaped pipe with a constant cross - section, open at the ends towards the atmosphere, contains homogeneous liquid over a section of total length l . In the initial situation a valve R keeps the liquid in an asymmetrical configuration, in which the difference in height between the free surfaces A and B is h . At a certain instant the

A h R B

A reference liquid of known viscosity coefficient eta R flows in a horizontal pipe of constant cross-section and opens at one end. The pressure difference between the ends of the pipe is kept constant. At the open end, a liquid leakage of 3 l in 200 s is measured. Later, a liquid with unknown viscosity coefficient eta is allowed to flow into

A thin rod, with length l =0.3 m , cross section S and density rho =500 kg / m 3 , is fixed at its end O to the wall of a vessel filled with water ( rho 0=1000 kg / m 3 ) as shown in Figure 2. The rod can rotate freely around a horizontal axis passing through O and directed towards the reader. In equilibrium, the part of the rod that remains

Explain Bessel functions. b ) Explain what is the difference between Modified Bessel and Bessel functions. c ) Potential of modified Bessel and Bessel functions in chemical engineering What are the application areas? d ) Research and model a problem in the field of Chemical Engineering and use Bessel or berform the solution in detail with the

A rod of mass m =2.4 kg and length d =2 m can rotate in a vertical plane about a horizontal axis passing through its center and directed towards the reader. At time t = 0 s the rod is stationary in a horizontal position. A point mass with mass m =0.5 kg falls vertically from a height h and strikes the rod at a distance r =0.8 m from its center,

r h m

Consider an infinite sheet placed in the plane z 1 m and carrying surface current density of 20 ax mAm. Find the magnetic flux through the following surfaces due to this sheet. 1) (0,0,0) (0,0,1) (1,0,1) (1,0,0) 2) (1,0,1) (1,0,0) (1,1,0) (1,1,1)

The rectangular conducting loop below with mass m and total resistance R is placed in the region where the magnetic field is uniform below z0 and zero above z0, as shown. At time t0, where exactly half of the loop is in the field region (z(t0)12), the loop is released from rest and allowed to fall due to gravity in the zdirection. Express your

Consider an infinite sheet carrying surface current density K 10 cos(106t) x (Am). The sheet is parallel to the xy plane and is placed at z 5 cm. Find the magnitude and direction at all times of the induced current in a conducting circular ring of radius 5 cm and resistance 10 2. The ring is placed in free space in the xz plane with center at

A block Is resting on a plane inclined at 30.0 deg and is attracted by the Earth with a force P whose magnitude is 100 N . Find the component of the force parallel to the inclined plane and the component of the force perpendicular to the inclined plane.

A woman is moving to a new house and will spend much of her morning lifting boxes into a truck. She's always heard that she shouldn't "lift with her back" but wants to examine some of the physics at play. While on a break, she decides to compare the force at play in two opposing lifting techniques. For the "Proper Technique," she keeps her back

The figure shows objects A and B thrown from point O with the same initial velocity v _0 and then traveling in parabolic motion past points P and Q , respectively. A was thrown upward by with respect to the horizon, while B was thrown in a horizontal direction. O and P are separated by a distance L from the horizon, and Q is a distance d from P in

Vo L

X1 An electron is fixed in place along the xaxis at the position 10 cm, and a proton is fixed in place along the xaxis at the position X 70 cm. A second proton is placed along the xaxis at the position x3 55 cm and is released from rest. What is the initial acceleration of the proton The symbolic answer must be written in terms of the quantities

9. Imagine two disks of different sizes (r2 0.3r1) are joined together from their centers via an axle. If the smaller disk (of radius r1) rotates at angular velocity of 40 revolutionssec, what is the ratio of the velocities of the points on the edge on the two disks

Force 1 (F) is applied on Surface 1 with area A, and Force 2 (F) is applied on Surface 2 with area A2. If 2F = F2 and A1 = 2A2, choose the correct statement about the pressure on Surface 1 and Surface 2. Surface 1 and Surface 2 have the same pressure. O Surface 2 has a larger pressure than Surface 1. O Surface 1 has a larger pressure than Surface

Larger waves in California a. are more common in winter b. always come in straight c. are more common in summer d. always strike the beach face at an angle

A police officer sees a suspicious object falling from a stationary position from the top of a 20- meter - high building, as shown in the figure, and fires a shot from a distance R from the building one second after the fall, hitting it 0.3 seconds later. ( The magnitude of the gravitational acceleration is 10 m / s ^2, ignoring the height from

R 20.0 m

Is there a relationship between the age of the object and the geological layer where it is found? If so, what? Hint: Considering the ages you measured for Rock 1 and those of rocks 3, 4, and 5 discuss, consider Steno's laws, and state possible reasons why the age of rock #1 differs from those of rocks 4,5, 6

Now Desmond and Cherie tackle a homework problem. Two wave pulses travel on a string toward each other. The wave pulses can be described as where k 4 radm and w 7 rads. At what instant do 7 5 5 Y1 and y (kx wt) 2 (kx wt 6) 2 the two cancel everywhere (Assume x is in meters and t is in seconds.) S At what point do the two pulses always

Current Attempt in Progress Suppose that in a lightning flash the potential difference between a cloud and the ground is 1.1x10 V and the quantity of charge transferred is 27 C. (a) What is the change in energy of that transferred charge? (b) If all the energy released could be used to accelerate a 910 kg car from rest, what would be its final

How would you expect the pressure of the system to change if the volume of the system creased at a constant temperature

How much pure alcohol is in a 303 mL bottle of a "wine cooler" that is 4.1 percent alcohol by volume.

Reamble Idham couplings are somewhat dated, but flexible coupling design, consisting of identical left- and right-hand hubs th dogs that sandwich a spacer between them. The coupling was originally developed to address aft misalignment on a ddlewheel steamer. Unlike many uplings, the Oldham coupling sign is specifically intended for machines whose

Determination of energy of the observed emission lines Determine spacing of the diffraction grating d 10 m 1 nm X number of lines in the grating 109 m Refer to the discussion of measuring the emission lines of hydrogen in the Introduction.

A particle moves through a region of space with a magnetic field. If there is no magnetic force on a particle, then a. the particle is uncharged. b. the particle is moving in the direction exactly opposite of the magnetic field. c. the particle is moving in the direction of the magnetic field. d. All of the above.

A beaker of water rests on a scale. An object is lowered into the water without making any contac with the beaker. The reading on the scale will A B baroc C D definitely increase definitely decrease definitely remain the same depend on the relative density of the object

At t 0, force F (7.001 7.00 5.00k) N begins to act on a 2.80 kg particle with an initial speed of 5.00 ms. What is the particles speed when its displacement from the initial point is d (4.00 4.00 7.00k) m

Consider a system with twelve magnetic tape drives and three processes: P o , P 1 , and P 2 . Suppose that, at time to, process Po is holding five tape drives, process P 1 is holding two tape drives, and process P 2 is holding two tape drives 2 At time to, the system is in a safe state Po P 1 P 2 Maximum Needs 10 4 9 Current Needs 522

The electroscope below consists of a knob and two freely hanging metal leaves. The figure below shows a positively charged electroscope. A positively charged metal rod is brought near the knob. Knob Leaves The separation of the leaves: A: increases B: decreases C: stays the same

Assume the acceleration due to gravity, g, is 10 m/s2 on Earth and 1.6 m/s2 on the moon. Rank the following from the largest weight (top) to the smallest weight (bottom). A 100-kg rock on the Earth A 100-kg rock on the moon A 500-kg rock on the moon A 20-kg rock on the Earth

The cell had a volume of 535 ml and a salt concentration of 6.7%. The cell was placed in 624 ml of a 5.9% salt solution 1. What kind of solution is the cell in?. 2. What is the final concentration inside and outside the cell ?

Suppose a large generator rotates in the Earth's magnetic field. The strength of this magnetic field may be taken to be 0.500 Gauss. The generator has 600 circular loops of radius R = 0.500 meter, and the area of the loop is TR. The generator rotates at a frequency of 10.000 Hz. What is the peak AC voltage, E, generated?

We recently bought some plants for the back yard. Imagine I created a sled for the plants (total mass of 45.5 kg) and then lowered them down the hill in the backyard allowing gravity to pull them down a 12.8 m long (along the hypotenuse), 19.5 hill. As the sled slides down the hill there is friction (k = 0.275). a) How much gravitational potential

The term "amplitude" refers to O how high you have your volume control turned up on your cd player O the Italian terms used to tell you how loud or soft to play or sing O the amount of energy present in each sound wave that moves air molecules certain distances i O the speed of the beat as it moves forward in a piece of music

A person who is "near-sighted", or myopic, cannot focus on faraway objects (objects at infinity) because the curvature of the person's eye-lens is too great. This causes parallel rays (from a distant point source) to bend too much and focus in front of the retina. The person sees a fuzzy patch of light rather than a sharp point. This person needs

A cyclist rides a bicycle with a wheel radius of 0.500 m across campus. A piece of plastic on the front rim makes a clicking sound every time it passes through the fork. If the cyclist counts 320 clicks between her apartment and the cafeteria, how far has she tray- eled?

The papers on a metal board are being held by a magnet. a. Explain how the magnet is able to be attracted to the metal board even though they are not touching (hint: field). The atoms in the magnet allows the movement of magnetic field energy to go through the paper and absorbs energy. b. How is this similar how to two positive charges push each

Then Rutherford looked at Kelvin and told him that his method of determining the earth's age based upon how long it would take the earth to cool from molten rock to its present cool, solid form was essentially correct. But there was a new, previously unknown source of heat that Kelvin had not included in his calculation and therein lay his error.

17. A box of mass M is placed on a 30 inclined plane. The box is sliding with an acceleration equals g/2 (g is the free fall acceleration). What is the magnitude of the force of friction between the box and the plane? a = 4.9m/s. A) zero B) Mg/2 C) Mg D) 0.866 Mg E) 2Mg M 30

What is the optimum angle at which a projectile should be launched in order to cover the maximum distance? 45 degrees 0 degrees 90 degrees 60 degrees

Apply a force of 50 N right to the crate. Describe the motion of the crate using physics terms (i.e. velocity, acceleration, displacement). Refer to the speedometer

The cell cycle is comprised of four phases (G, S, G2, M). Only in M (mitosis) is the cell going through the process of diving. Explain what happens in G, S, and G. G

The beginning of the Phanerozoic marks an important event in animal evolution-the appearance of organisms with a) cells b) hard parts c) wings d) vertebrae

Determine components and directions of the electric force and/or field. (cont.) The electric force acting on q, acts to the left, in the direction away from 92. The unknown quantities to be determined in part (b) are the magnitude and direction of the electric field at x = 0. To solve part (b), we return to the application of Coulomb's law and the

A and B, undergo a perfectly elastic collision. Ball A has a mass of 0.120kg and an initial velocity of 9.00m/s to the right. Ball B has a mass of 0.570kg and an initial velocity of 3.60m/s to the left. Find the velocity of ball A after collision.

Jumper cables are connected from a fresh battery In one car to charge a dead battery In another car. The figure below shows the circuit diagram for this situation. While the cables are connected, the Ignition switch of the car with the dead battery is closed and the starter is activated to start the engine. (Let R = 0.900 2 and R = 0.09 2.) + 0.01

Rank the following objects from largest amount of inertia to smallest amount of inertia. A resting 50-g ping pong ball. A flying 450,000-kg Boeing 747 plane. A 38,000,000-kg aircraft carrier at rest. A speeding 2,000,000-kg train

A soccer ball is kicked horizontally off a 15.0 m tall roof with a velocity of 75.5 km/h. Assume no air resistance. a) How long is the ball in the air? Show all work. 1 b) What is the distance from where the ball lands to the bottom of the building?

Rank the following velocities according to the kinetic energy a particle will have with each velocity, greatest first: (a) = 41+ 37. (b) = -41 +31, (c) = 31-4), (d) = - 31+ 41, (e) = 51, and (f) v = 5 m/s at 30 to the horizontal.

Determine for the three vectors x aibjck, y 2ik and z diejfk where a 2, b 3, c 3, d 4, e 2 and f 2 The value of (x x y).z. (ie the dot product of z with the vector cross product of x and y). Give your answer as an integer

Consider a configuration of three infinite parallel plates A , B and C . The distance between the plates is L meters. Plates A and C carry a charge density of Q Coulomb per square meter, while B has - Q Coulomb per square meter. Find the electric field outside the parallel plates, in the regions between the parallel plates. Calculate the potential

A large positively charged object with charge q 3.25 C is brought near a negatively charged plastic ball suspended from a string of negligible mass. The suspended ball has a charge of q 49.3 nC and a mass of 16.5 g. 9 What is the angle that the string makes with the vertical when the positively charged object is 18.5 cm from the suspended ball

The water surface elevation x(t) was measured at a certain point during a representative time interval (0,To), where To 2 sec. The results of the measurements were approximated by the formula x(t) ho At(Tot), where 0 t To, ho 50 cm and A 0.75 m sec. (1) Using the formulas for the Fourier series and its coefficients, see equations (9) and

6a A plane of mass 150000 kg is flying through the air at a constant altitude at a speed of 250 ms. The plane has a wingspan of 60 m. What lift force must the wings provide Please provide your answer in N. 1470000 3 20. 6b Assuming the air density is 0.0040 kgm and the drag coefficient is 0.47, what thrust force must the engines provide You may

A boy in a window that was 1520.0 cm off the ground toss a ball up with a velocity of 4.75 m / s . Put answers in proper significant digits. 1. What is happening to the velocity of the ball as it is tossed up into the air? How about when the ball goes down? 2. Explain the acceleration throughout the toss. 3. Find the height that the ball goes up

(a) An object with a velocity, v, falls under gravity from rest (t 0, v 0) as defined by Where m is the objects mass (i) Find an expression for v as a function of time (ii) Find the terminal velocity (to) when m 3kg dv m mg 3v dt Find the general solution for the following equation dy dy 4 5y dx dx Determine the particular integrals of Where

Consider a Poiseuille flow of a fluid with density 1000 kgm and viscosity 0.001 kg(m sec) through a pipe with inner radius 0.05 m and a pressure gradient of 10 Nm. After some distance L from the pipe inlet, the flow will reach a laminar fullydeveloped steady flow. Obtain the resulting volume flow rate Q, and the approximate distance L for the

Assume that a force acting on an object is given by F ax Nm. by j, where the constants a 2.7 Nm and b 4.3 Part A Determine the work done on the object by this force as it moves in a straight line from the origin to 7 (12.0 21.5)m. Express your answer using two significant figures. W Submit Provide Feedback V Request Answer J Constants

Problem 7.22 A constant force F 2.91 3.41 N acts on an object as it moves along a straightline path. If the objects displacement is d 1.7 4.4 m, calculate the work done by using these alternate ways of writing the dot product Part A Calculate the work done by using these alternate ways of writing the dot product W Fd cos 0. Express your answer

Exercise 6B Maxwells equations applied to a plane wave 1. The figure shows a seaofarrows representation of a vector field, along with a coordinate system. Suppose that this is the electric field of a plane wave propagating in the positive z direction. Determine the magnetic field. 2. As in discussion question A, p. 90, figure out the direction and

A 10.0 g bullet leaves a rifle with a speed of 800.0 ms. What should be the minimum mass of the rifle in order that its recoil speed (the backwards speed of the rifle after the bullet is fired) cannot possibly exceed 2.50 ms If the barrel has a length of 0.50 m, calculate b) the time the bullet is in the rifle c) the net force on the bullet and d)

7) An ideal spring with a spring constant of 1375 Nm sits horizontally on a steel floor with one end attached to a rigid wall. A 5.00kg plastic block is placed on the floor and used to compress a spring by 0.200 meters. The block is released from rest so that the spring pushes it horizontally across the floor. The coefficient of kinetic friction

A driving force of the form acts on a weakly damped spring oscillator with mass 6.42 kg, spring constant 302 Nm, and damping constant 0.179 kgs. F (t) (0.359 N) sin (2 ft) What frequency fo of the driving force will maximize the response of the oscillator fo Find the amplitude Ao of the oscillators steadystate motion when the driving force has

Macmillan Learning Engineers can determine properties of a structure that is modeled as a damped spring oscillator, such as a bridge, by applying a driving force to it. A weakly damped spring oscillator of mass 0.238 kg is driven by a sinusoidal force at the oscillators resonance frequency of 36.6 Hz. Find the value of the spring constant k. k

An aluminum calorimeter with a mass of 100 g contains 250 g of water. The calorimeter and water are in thermal equilibrium at 10C. Two metallic blocks are placed into the water. One is a 51.1g piece of iron at 80C. The other has a mass of 534 g and is originally at a temperature of 100C. The entire system stabilizes at a final temperature of 20C.

In outer space a rock with mass 5 kg, and velocity 3500,2900, 3200 ms, struck a rock with mass 17 kg and velocity 300, 270, 200 ms. After the collision, the 5 kg rocks velocity is 3200, 2200, 3700 ms. Part 1 Your answer is correct. (a) What is the final velocity of the 17 kg rock 388.24 475.88 Part 2 Your answer is incorrect. What is the change in

Problem 1 You are a stunt person in the latest action movie and need to drive a car off a cliff, parachute out to safety, and let the car freefall to the bottom of the cliff. You must leave the cliff at a specific speed, so the car lands on the target below. You start from rest, hit the gas, and accelerate at a constant rate of 11 ms for 7.5

Projectile motion Data V 20 ms 9 30 ha 10 ky Task 10 Calculate the Kinetic energy of the projectile as a fuction of Time Ke(t) Calculate the potential energy of the projectile as a fuction of Time PECT) Calculate the total mechanical 65 6 fuction of the Time Emech (). Gruph all these functions. The projectile Of The

Page 3 15 (a) Conservation of Energy lookg V you 5m choose A Is 5m Exam 2 B (Sall going to) Choose an initial velocity, and make sure that it has two decimal places (vo 60.38 Find the initial Kinetic energy (in Joules). V0 Ms1 100kg hg for example). (6) When at point A, what is the new velocity and energy Both should be larger than at the top of

Answer 5.7. questions according to the text below Two particles, A and B, move in a straight line. At t0, the velocity of the particle B is initial position of the particle is x, 9 m. The acceleration of B is 2 ms. Particle A to the equation x 10t20, where x in meters and t in seconds. 5) When do they meet each other a) 2.9s b)3.8s c)0.2s d)1.1s

3. Given an arbitrary thermodynamic system, which is larger the number of possible macrostates, or the num ber of possible microstates, or is it impossible to say Explain your answer. (For most systems, both are infinite, but it is still possible to answer the question.)

6. Not surprisingly, in a collection of oscillators, as in other thermodynamic systems, raising the temperature causes particles energies to increase. Why shouldnt a point be reached where there are more particles in some high energy state than in a lower energy state (The fundamental idea, not a formula that might arise from it, is the object.)

20. A twosided room contains six particles, a, b, c, d, e, and f, with two on the left and four on the right. (a) Describe the macrostate. (b) Identify the possible microstates. (Note With only six particles, this isnt a thermodynamic system, but the general idea still applies, and the number of combinations is tractable.)

23. The entropy of an ideal monatomic gas is (32)NkB In E NkB In V NkB In N, to within an additive constant. Show that this implies the correct relationship between internal energy E and temperature.

27. Four distinguishable harmonic oscillators a, b, c, and d may exchange energy. The energies allowed particle a are E n hw those allowed particle b are E nhw and so on. Consider an overall state (macrostate) in which the total energy is 3hwo. One possible microstate would have particles a, b, and c in their n 0 states and particle d in its n

28. In a large system of distinguishable harmonic oscilla tors, how high does the temperature have to be for the probability of occupying the ground state to be less than 11

35. Consider a simple thermodynamic system in which par ticles can occupy only two states a lower state, whose energy we define as 0, and an upper state, energy E,(a) Carry out the sum (with only two states, integration is certainly not valid) giving the average particle energy E, and plot your result as a function of temperature. (b) Explain

Problem B. Consider a gas in a box with N5 particles, divided by an imaginary line into two regions (left and right). 1. How many microstates have 3 particles to the left (and 2 to the right) 2. Draw all of them. 3. What is the probability of the corresponding macrostate

E I 2.00 kg 8,00 Ag () () In the system shown in Figure, a horizontal force Ex acts on the 8.00kg object. The horizontal surface has a coefficient of friction ju0.1 10 What is the value of Fx when 2.00kg blocks acceleration is 1ms downward a)2.02N b)1.76N c)3.56N d)5.58N e)11.9N 11 What is the minimum value of Fx when the tension on the cable is

A harmonic oscillator is made by using a 0.630 kg frictionless block and an ideal spring of unknown force constant. The oscillator is found to have a period of 0.147 s and a maximum speed of 2 m/s . Find the force constant of the spring. Find the amplitude of the oscillation.

A springloaded toy gun is used to shoot a ball straight up in the air. (Figure 1)The ball reaches a maximum height H, measured from the equilibrium position of the spring. Figure H 1 of 1 Part A The same ball is shot straight up a second time from the same gun, but this time the spring is compressed only half as far before firing. How far up does

Show whether the force given in the form F (3xyz3y)i (x23x)j (xy 22)k is conservative or not. If there is, find the potential function U(x,y,z) from which its power will be derived.

3. (15 puan ) F 3x 2xyj xk ve T 3x y Calculate the following expressions for the ssss fields. a) div grad (T) div F b) VT c) curl (TF)

5. (20 puan) Demonstrate the accuracy of the difference theorem using the F (xy)i (2yz)j (3zx) k function and the volume in the figure. (Divergence theorem (VF) dr F da) hacim yzey 2

4. a. Calculate the escape speed from the surface of the Sun. (m, 1.99 x 100 kg, rs 6.96 x 10 m) b. What speed would an object leaving Earth need to escape from our solar system

Using the attached table of ClebschGordan coefficients, explicitly decompose 10120100. That is, derive explicit expressions for the coupled states j1j2 JM) as linear combinations of the uncoupled basis j1j2 mm).

(10 points) A straight wire of the length 0.2 m is in the uniform magnetic field. When the cure in the wire 4.5 A. the maximum force on it is 1.8N. What is the value of the magnetic field 6. (10 points) The uniform magnetic field is decreasing with the rate 20 Ts. The angle between the magnetic field and the normal direction of the loop with area

3. (10 points) What is the potential difference between points A and B if the current in resistor R is 17 A A) 3R B) IR A) 4 W B) 20 W B 4. (10 points) What is the power of the current in the spiral if the resistance of the spiral is 100 Ohm and the current in it is 0.2A. C) 500 W D) 2000 W C) 21R3 D) IR3 2

Section Name of the student No cellphone, Laptop, iPad or similar devices on the table. Your text taking area and the device you are using for the test may be monitored during the test period. Answer all questions with steps and units for full credit Step 1 known values with letter symbols and units. Step 2 what is to be calculated with symbol

8. (Picture on the right is just an image of the scenario) A 24kg traffic light is suspended from the midpoint of a cable suspended between two poles. The angle between the cable and the pole is 80 at both poles. The magnitude of the tension on each half of the cable is A) zero B) 6.8 x 102 N C) 1.2 x 102 N D) 4.6 x 102 N E) 82 N 000

Section C. Short Solution. You MUST show your work. C 4 marks 16. Consider the velocitytime graph below. The object starts moving South. velocity (ms) 10 15 20 25 time (s) 30 A) What is the displacement (magnitude and direction) over 0 sec and 30 sec Show your work. B) What is average velocity over 0 sec and 30 sec Show your work.

NOTES ASK YOUR TEACHER A carpenters square has the shape of an L as shown in the figure below. Locate its center of gravity. (Take (x, y) (0,0) at the intersection of d, and da Assume d 20.0 cm, d 3.00 cm, d 3.00 cm, and d 10.0 cm.) 3.907 x You can consider the carpenters square to consist of two rectangles positioned at 90 degrees to each

MAJO) 7. The following diagram shows the variation of applied force with displacement of an object. What is the area under the solid line between x 0 and x 6 F (N) (A) 40 units (B) 80 units (C) 120 units (D) 60 units (E) 20 units 20 10 0 10 6 8 10 12 x (m)

(7) Problem 9 A uniform rod with length L is free to rotate about an axis at ground level. The rod makes an angle with horizontal and is released from rest. 50 Part (a) Write an expression for the angular speed of the rod just before it strikes the ground. w ((3 g sin (0) )(L ) ) cos(a) sin(a) d m cos(Q) sin(Q) Y Submit n cos(0) sin (0) 0 L Hint

20. A bowling ball accidentally falls out of the cargo bay of an airplane as it flies along in a horizontal direction. As observed by a person standing on the ground and viewing the plane as in the figure below, which path would the bowling ball most closely follow after leaving the airplane (A) A (B) B (C) C (D) D (E) E (A) (R) (D) (C) (E)

5. 20 pts Due to pollution, a thin layer (film) of oil (nfilm 1.4) is deposited on the surface of two different mediums (a) a standing water (nwater 1.33) on the ground after rain and (b) a window glass (nglass 1.53). A light with wavelength 550 nm incidents from air (nair 1.0) almost normal to the oil film. For each case, determine the

4. The posted speed limit on 1220 is 70 miles per hour. If you drive 10 miles per hour over the speed limit, how much time do you save if you drive 12 miles (the entire length of 1220) (A) 6 minutes (B) 7 minutes (C) 6 seconds (D) 60 seconds (E) 77 seconds

18. Two metal balls are the same size but one weighs twice as much as the othe dropped from the roof of a single story building at the same instant of time. the balls to reach the ground below will be (A) about half as long as for the heavier ball as for the lighter one. (B) about half as long as for the lighter ball as for the heavier one. (C)

(b) Consider an optical transmission link that consists of a 10 km long stepindex fiber with core refractive index of 1.75 and cladding refractive index of 1.74. The core radius of the optic fiber is 4.05 um. When a light beam at 1.55 m is launched into the fiber link, it is found that multiple electromagnetic (EM) modes are generated. (1) (ii)