When high voltage is run through hydrogen, light is emitted that is concentrated in three areas of the visible spectrum: red, cyan, and violet. How did Bohr explain this, and how did de Broglie alter that explanation to extend it to the emission spectrum of other elements?

A. A disk of radius 0.15 m spins at a rate of 18 rad/s. What is the linear speed of a point on its outer rim? How long does it take that point to make a complete revolution? What would be given as the frequency in hertz of this motion?

B. A mass and spring system is built with a spring constant of 5.0 N/m and a mass of 2 kg. What is its period of oscillation? What length would a simple pendulum have to have to make an identical mass oscillate with that same period?

3. Interference: Consider the double slit experiment conducted in lab. You now have a new double slit slide to analyze. On the wall 1.75m away from the slits, the first minima occurs 0.65 mm to the side of the central maxima when using the red laser (wavelength=633 nm).

a) Find the slit spacing.

b) If the fourth maximum (from the central maximum) is missing, what is the slit width? Be sure to justify your answer with the appropriate equation(s).

c) What is the double slit phase at the third double slit minima?

d) What is the single slit phase at the third double slit minima?

e) What is the combined intensity at the third double slit minima?

What is wave ? Differentiate between Longitudinal wave and Transverse wave. How can you generate both types of wave on a slinky? Write in detail

a) The rotational characteristic energy E_0r for the nitrogen molecule N₂ is 2.48 x 10^-4 eV. Find the bond lenght of the molecule.

b) Write the electronic configuration of this molecule.

A -3.50 nC point charge is at the origin, and a second -5.50 nC point charge is on the x-axis at x = 0.800 mm.

D) Find the net electric force that the two charges would exert on an electron placed at point on the x-axis at x = 0.200 mm. Express your answer with the appropriate units. Enter positive value if the force is in the positive x-direction and negative value if the force is in the negative x-direction.

F) Find the net electric force that the two charges would exert on an electron placed at point on the x-axis at x = -0.200 m. Express your answer with the appropriate units. Enter positive value if the force is in the positive x-direction and negative value if the force is in the negative x-direction.

If we recreated the scene from Fast & Furious 7 and dropped a Challenger SRT® Hellcat Redeye Widebody from a C-130 aircraft at 5,280 ft, how much horsepower would it take to drive past it before it hits the ground if you’re 1 mile away? Air density @ sea level, 59 degrees, no wind = p = .002377 slugs/ft^3 Coefficient of drag (flat plate, NASA) = C(d) = 1.28 Weight = W = 4451 lbs Gravitation constant = g = 32.2 ft/sec^2 Area = A = 197.5" long x 78.2" wide x (1 ft^2/ 144 in^2) Vehicle falls flat, wheels 1st, straight down, at constant acceleration with no aerodynamic drag until terminal velocity Horsepower needed to accelerate is AVERAGE - not peak 100% driveline efficiency

A solid cylinder is mounted above the ground with its axis of rotation oriented horizontally. A rope is wound around the cylinder and its free end is attached to a block of mass 75.5 kg that rests on a platform. The cylinder has a mass of 205 kg and a radius of 0.350 m. Assume that the cylinder can rotate about its axis without any friction and the rope is of negligible mass. The platform is suddenly removed from under the block. The block falls down toward the ground and as it does so, it causes the rope to unwind and the cylinder to rotate.

(A) What is the angular acceleration, in rad/s², of the cylinder?

(B)How many revolutions does the cylinder make in 5 s?

(C) How much of the rope, in meters, unwinds in this time interval?

Light in a vacuum is incident on a transparent glass slab. The angle of incidence is 37.0

(a) Describe the distinction between transverse and longitudinal waves. Give an example of each type ofwave, describing the disturbance in each case.

(b) Describe why the frequency of a wave perceived by an observer depends on her velocity.

(c) Ultrasound measurements in medicine are often conducted using wavelengths of 0.03 cm and can be used measure blood flow speeds via the Doppler effect. Given that the speed ofsound in the body is 1550 m/s, what is the maximum frequency difference between the transmitted and received signals for a blood flow velocity of 13 cm/s.

What is the appropriate interplanar spacing which is needed to detect and analyze the (a)Fe K line and (b)Ti L line?

A student is running at her top speed of 5m/s to catch a bus, which is stopped at a bus stop. When the student is still 80m behind the bus, it starts to pull away, moving with a constant acceleration of 0.1m/s2. (a) How much time will be needed for student to catch the bus? (b) What distance does the student have to run before she catches the bus? (c) When she reaches the bus, how fast is the bus traveling? (d) If the student is running too slow, she will not catch the bus. What is the minimum velocity vm with which she should run and still catch the bus? (e) At what time she would catch the bus now?

You are just starting a new job as investigator for the car collision investigation. You assist your superior in order to determine, as accurately as possible, the circumstances surrounding collisions (initial velocity of the vehicles involved, direction vehicles were heading, etc.) in order to determine whether the drivers at fault under the Criminal Code (dangerous driving causing death or other charges).

The weather is great and you arrive at the station as your boss tells you, “Hey, Daniel, hurry over to Jalan BBN 1/A. There has been an accident involving two cars. There are people injured.” You rush to the scene of the accident immediately. Your job is to take photos of the vehicles as they are positioned, and take a certain number of measurements, including the length of the skid marks and layout of the debris.

Your findings are as follows:
• Numerous debris (broken glass, plastic, etc.) were found at a distance of 12 m from the cars;
• The two cars stuck together (red car is heading to the black car) and there are skid marks over 12 m;
• There are also skid marks over a distance of 30 m before the debris;
• The posted speed limit on this street is 70 km/h;
• Other information: m1(red car) = 2500 kg, m2(black car) = 1100 kg.

Return to the station, your superior yells out, “Hey, Daniel, make yourself useful! Bring the friction block and spring scale, and take the measurements needed to calculate the pavement’s coefficient of friction.” Confused, but very eager, you take the heavy iron friction block, covered with tire treads, and the spring scale.

Your superior returns to you and says, “The two drivers aren’t saying much. The one in the black car was sent to the hospital. The driver in the red car is still discussing what happened, but nothing is clear!” Since you are always willing to help, you answer, “How can I help you, Sir?” Your superior’s face lights up when he hears your proposition, “Well, it’s that…, you see, we must be sure, beyond any doubt, that dangerous driving was involved… the judge needs evidence. We must gather all the necessary evidence. All I’m sure of is that, based on the skid marks, the black car was at the stop when the collision occurred. This a perfect job for an intern! Get to work! I want a full report as soon as possible”. Knowing that this information will decide whether the driver will be charged under Criminal Code, you take your role very seriously and immediately get to work.

Considering that the accident occurred in a 70 km/h zone, what do you suggest to your superior? How would you clearly explain to your superior about the method used to determine the speed of the driver at fault?

Learning outcomes:

Successful students will be able to:
1. Calculate the velocities of two vehicles before and after impact using physics principles, such as forces, motion, mechanical energy, and conservation of momentum.
2. Explain how frictional forces related to varying surfaces affect the motion of an object.