1.

what is the angular separation (between a grating and screen) of the second order maximums produced by 420nm and 300 nm wavelengths incident upon a 450 lines/mm diffraction grating

2.

Boron nitride (a lubricant) with an index of refraction of 2.0 is heated within a microwave oven. If the speed of the microwaves is 3.0X10⁸m/s, what is the speed of the microwaves in the boron nitride

The depth of the water body is 2 meters.
(a) There shall be a light source at the bottom of the body of water, a disc of opaque material floating on the
the center is exactly above the light source. Calculate the minimum radius of the disk so that none
the light beam from the light source would not escape from the water. Make an explanatory drawing with it applied
the path of the light rays and the angles used in the formulas.
b) Calculate the apparent depth of the body of water for an observer looking at the water surface at an angle of 30 degrees
with respect to the vertical. Make an explanatory drawing showing the course of the light rays and the formulas
angles used.

(a) Suppose a meter stick made of steel and one made of invar are the same length at 0°C. What is their difference in length at 45.0°C? The coefficient of thermal expansion is

12 ✕ 10⁻⁶/°C for steel and 0.9 ✕ 10⁻⁶/°C for invar.

(b) Repeat the calculation for two 38.5-m-long surveyor's tapes.

Boxes A 7.00 kg and B 15.00 kg , to the right of A move on a frictionless, horizontal surface. Box B is traveling to the left at 0.500 m/s, and box A is traveling to the right at 2.00 m/s initially. The boxes are attached with ideal spring bumpers. Eventually, they have head-on collision. consider that all motion before and after it is along a horizontal axis. Assume that +x is the direction of the initial motion of A.
a) Find the maximum energy stored in the spring bumpers.
b) Calculate the velocity of block A when the energy stored in the spring bumpers is maximum.
c) Calculate the velocity of block B when the energy stored in the spring bumpers is maximum.
d)Calculate the velocity of block A after the blocks have moved apart.
e) Calculate the velocity of block B after the blocks have moved apart.

Boxes  A ( 5.00 kg ) and B( 14.00 kg , to the right of A) move on a frictionless, horizontal surface. Box BBis traveling to the left at 0.500 m/s, and box A is traveling to the right at 2.00 m/s initially. The boxes are attached with ideal spring bumpers. Eventually, they have head-on collision. consider that all motion before and after it is along a horizontal axis. Assume that  +x is the direction of the initial motion of A.

A-)Find the maximum energy stored in the spring bumpers.

B-)Calculate the velocity of block A when the energy stored in the spring bumpers is maximum.

C-)Calculate the velocity of block B when the energy stored in the spring bumpers is maximum.

D-)Calculate the velocity of block A after the blocks have moved apart.

E-)Calculate the velocity of block B after the blocks have moved apart.

If you had two solenoids of identical wire and number of turn per unit length, but different radial size, what would you expect to find if you measured the magnetic field inside at the center?

You are designing a slide for a water park. In a sitting position, park guests slide a vertical distance h down the water-slide, which has negligible friction. When they reach the bottom of the slide, they grab a handle at the bottom end of a 6.00-m-long uniform pole. The pole hangs vertically, initially at rest. The upper end of the pole is pivoted about a stationary, frictionless axle. The pole with a person hanging on the end swings up through an angle of 72.0∘, and then the person lets go of the pole and drops into a pool of water. Treat the person as a point mass. The pole’s moment of inertia is given by I=1/3ML^2 where L = 6.00 m is the length of the pole and M = 31.0 kg is its mass. For a person of mass 70.0 kg, what must be the height h in order for the pole to have a maximum angle of swing of 72.0∘ after the collision?

What is the gain material and its phase, typical pumping method, typical output power, and efficiency for laser of your choice producing tunable visible light?

Daniel with mass 65.0 kg and Rebecca with mass 45.0 kg are skating. While Daniel stands at rest, He is struck by Rebecca. She is moving at 13.0 m/s before she collides with him. Rebecca has a velocity of magnitude 6.00 m/s at an angle of 55.1 ∘ from her initial direction after the collision. Both skaters move on the frictionless and horizontal surface .
a)Find the magnitude of Daniel's velocity after the collision?
b)Find the direction of Daniel's velocity after the collision? ∘ from the Rebecca's original direction
c)Find the change in total kinetic energy of the two skaters as a result of the collision?

A box with mass 0.0325 kg moves in a vertical circle that has a radius of 0.600 m on the inside of a circular track. When the box is at the bottom of its path, point A, the magnitude of the normal force exerted on the box by the track has magnitude 3.75 N. When the box reaches the top of its path, point B, the magnitude of the normal force exerted on the box has magnitude 0.665 N.

How much work was done on the box by friction during the motion of the box from point A to point B?

Two long parallel wires 20 cm apart carry currents of 5.0 A and 8.0 A in opposite directions. At what point is the net magnetic field due to the two of them zero?

8. Refer to the previous problem. The parent particle moves in the lab with kinetic energy 800 MeV, and one daughter particle is emitted along the parent’s direction of motion. Find the lab kinetic energy (in MeV) for the daughter emitted backwards in the parent’s rest frame.

Previous Problem: 7. A particle of rest energy 800 MeV decays in its rest frame into two identical particles of rest energy 250 MeV. What are the kinetic energies (in MeV), momenta (in MeV/c), and velocities (in units of c) of the daughter particles?

In a shooting field where noone can get hurt, there is a vertical square plastic board, 0.100 m on a side and with mass 0.800 kg , that rotates on a horizontal axis along its top edge. The center of the plastic board is hit by a bullet with mass 1.50 g that is moving with 300 m/s and that stays embedded in the plastic board.

a)Find the angular velocity of the plastic board right after the bullet's hit?

b)Calculate the maximum height above the equilibrium position does the center of the plastic board reach before starting to go back down again?

c)Find the minimum bullet velocity which would be required for the plastic board to swing all the way over after impact?

Assume that a certain billionaire innovator misplaced his supercar and finds it launched into a high-earth orbit at a height of 15 000 km above the Earth’s surface. Wondering if he left his headlights on, he uses his telescope to directly observe the car as it passes overhead.

a. What fundamental physical effect limits the resolution of optical systems? Explain how this physical effect leads to the observed limitation.
b. What fundamental requirement can we set on the telescope to be able to distinguish the two front lights of the supercar if they are separated by 1.5m and emit light at a wavelength of 575 nm?

1. Imagine that you’re sledding alone down a steep hill on a toboggan and that you left the top of the hill at the same time as an identical toboggan, loaded with 4 people.

a. Which toboggan will reach the bottom of the hill first?

b. If you took a toboggan down a 2% grade slope, for a 1000 foot run, and then you took the toboggan down a steeper route of 15% grade down the hill, how would that affect the speed of your descent? Explain.

c. Before each downhill run, you must pull the toboggan back to the top of the hill. If the Hill is 1000 vertical feet, how many runs will you do in 2 hours?

d. Why can you sled down a hill? But you can’t you skate down a hill?

e. How do snow shoes help you walk in snow? Why are their different sized snow shoes?

2. a. Why is hip movement and turning the knees important in improving a golf swing?

b. During the back swing, are you accelerating?

c. At the moment you reach the bottom of the swing you make contact with the ball. Explain how energy is transferred from the club to the ball

d. Why is there more stress on a golfers shoulders at the start of the swing, than when hitting the ball?

e. Why do you need to follow through on the swing?

f. What has happened when a golf shot is hooked?

g. What is the sweet spot on a club and what does it do?

h. What is a ping sound and how is it produced when hitting a golf ball?