What is the dependence of debye wave vector on density?

ESSAY PART:

A group of students of students wants to build an apparatus that produces a mirage of an object. For this purpose, they need to know the radius of curvature of the concave mirror they are using. Please explain how they can achieve their goal? Make sure to indicate variables, equipment necessary and possible procedure. (10pts) Also on the space labeled Experimental setup sketch your apparatus.

Experimental Setup: (5 pts)

1. The students completed their corresponding measurements and obtained the following data:

Complete the above table by manipulating the data so that you are able to determine the focal length of the mirror. (20pts)

2. Graph your manipulated data. (20 pts)

3. Write the mathematical equation describing the relationship. Explain the physical meaning of the slope and the y-intercept. (30 pts)

Mathematical Equation: ____________________    Meaning of the Slope:             Meaning of the y-intercept:

4. Determine the radius of curvature of the mirror: (5 pts)
5. The mirror has a radius of curvature of 14.8 cm. Determine the percentage error of the experiment. (5 pts)

Select all the features Jupiter and Saturn have in common.

How does growth occur as a result of knowing our value?

What qualities in people do you admire most?

What are the data elements used to describe an object's position and motion? How can satellite orbits be classified (i.e. put into categories)?

Object A is moving due east, while object B is moving due north. They collide and stick together in a completely inelastic collision. Momentum is conserved. Object A has a mass of mA = 17.0 kg and an initial velocity of v0A = 8.10 m/s, due east. Object B, however, has a mass of mB = 29.0 kg and an initial velocity of v0B = 5.20 m/s, due north. Find the magnitude of the final velocity of the two-object system after the collision.

A particle that has a charge of 7.6 μC moves with a velocity of magnitude 4 × 105 m/s along the +x axis. It experiences no magnetic force, although there is a magnetic field present. The maximum possible magnetic force that the charge with the given speed could experience has a magnitude of 0.310 N. Find the magnitude and direction of the magnetic field. Note that there are two possible answers for the direction of the field.

An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.00 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200 kPa. The velocity of the fluid in the wide section is 4.00 m/s. The narrow section is located 4.00 m below the wide section. What is the diameter of the narrow section for the pressure of the fluid in the narrow section to equal the pressure in the wide section? (density of the fluid is 1,000 kg/m³)

A light plane attains an airspeed of 480 km/h. The pilot sets out for a destination 780 km due north but discovers that the plane must be headed 19.0

A major league pitcher stands on the pitching mound 60ft 6in from home plate throws a fastball at 105 mph. Assume both the batter and pitcher are the same height (6ft 6in) and the ball is released 55 inches above the ground when thrown horizontal.

a. How far will a 340 gram baseball travel before hitting the ground?

b. How high is the ball above the ground when it passes over home plate?

c. How long does it take to reach home plate?

Now let’s look at what happens when the ball is hit, using the setup from the last problem. When hit the ball’s speed is an average of 30% faster and leaves the bat at a 5 degree angle.

(a) How high is the ball when it passes the pitching mound?

(b) How far will the ball travel?

You drop a 1.70 kg book to a friend who stands on the ground at distance D = 12.0 m below. If your friend's outstretched hands are at distance d = 1.60 m above the ground (see the figure), (a) how much work Wg does the gravitational force do on the book as it drops to her hands? (b) What is the change ΔU in the gravitational potential energy of the book-Earth system during the drop? If the gravitational potential energy U of that system is taken to be zero at ground level, what is U (c) when the book is released and (d) when it reaches her hands? Now take U to be 100 J at ground level and again find (e) Wg, (f ) ΔU, (g) U at the release point, and (h) U at her hand

A long solenoid has a diameter of 15.3 cm. When a current i exists in its windings, a uniform magnetic field of magnitude B = 32.8 mT is produced in its interior. By decreasing i, the field is caused to decrease at the rate of 5.15 mT/s. Calculate the magnitude of the induced electric field (a) 2.99 cm and (b) 11.7 cm from the axis of the solenoid.

It is difficult to extinguish a fire on a crude oil tanker, because each liter of crude oil releases 2.80×107 J of energy when burned. To illustrate this difficulty, calculate the number of liters of water that must be expended to absorb the energy released by burning 1.00 L of crude oil, if the water has its temperature raised from 24.5 °C to 100 °C , it boils, and the resulting steam is raised to 325 °C.

Use 4186 J/(kg·°C) for the specific heat of water and 2020 J/(kg⋅°C) for the specific heat of steam.

amount of water in L= ?

One of the greatest olympic weightlifters of all times- Soviet athlete Vasily Alekseyev- was once able to life 256 kg above his head in the upright (fully standing) position. Assume that this entire weight was supported equally by both femora. Compute the amount of compression (meaning change in length) of the athletes femora due to the lifted weight, assuming a Young’s modulus for the femur of 1.8 x 10^10 Pa, a femoral length of 50cm, and a femoral diameter of 3.0 cm. Ignore the weight of the athlete himself in this calculation. Assume the femur is cylindrical in shape. Hint: remember that there are two femora.

Electromagnetic radiation is emitted by accelerating charges. The rate at which energy is emitted from an accelerating charge that has charge q and acceleration a is given by dE/dt=q^2a^2/6πϵ0c^3 where c is the speed of light.

PartA: If a proton with a kinetic energy of 6.3 MeV is traveling in a particle accelerator in a circular orbit with a radius of 0.650 m, what fraction of its energy does it radiate per second?

PartB: Consider an electron orbiting with the same speed and radius. What fraction of its energy does it radiate per second?