Suppose that you shine light from a laser through two slits that are placed one in front of the other, separated by 0.6mm. The width of each slit is 0.12mm. The light will travel from the laser, through the slits, and onto a screen 1.5m away.

a. Predict what you will observe on the screen, and compare it to what you would expect from single-slit diffraction.

b. If ray (geometrical optics) accurately described this siutation, what would the pattern on the screen look like? Explain.

c. How would the pattern change if you used narrower slits?

d. How would the pattern change if you used wider slits?

e. Draw a graph showing the relationship between intensity (y-axis) and distance across the screen (x-axis).

f. Is there a relationship between the maximum intensity of the double-slit bright spots and the intensity pattern of a single slit of the same width? Do the heights of the peaks seem to follow the same pattern as the intensity of the single-slit pattern?

Suppose we had to create a classical forcefield for the gaseous carbon dioxide molecule. What are the different types of interactions that would need to be included in a molecular mechanics/dynamics simulation for CO₂?

Se suspende de una balanza de resorte (medidor de masa) un bloque de metal de 10.0 kg que mide 12.0 cm X 10.0 cm X 10.0 cm y se sumerge en agua. La dimensión de 12.0 cm es vertical, y la parte superior del bloque está a 5.00 cm por debajo de la superficie del agua. (A) ¿Cuáles son las fuerzas que actúan en la parte superior y en la parte inferior del bloque? (Tome P0 = 1.013 0 X 105 N / m2.) (B) ¿Cuál es la lectura de la balanza de resorte? (C) Muestre que la fuerza boyante (flotación) es igual a la diferencia entre las fuerzas en la parte superior e inferior del bloque.

A device consists of 8 balls with mass .6kg attached to the ends of low mass spokes of length 1.8m, so that radius of rotation is .9m. it's held in a verticasl plane,frictionles axle. A lump of clay falls and sticks to one of the balls when the spoke attatched to the ball is at 45 degrees to the horizonal. Just before im pact the clay mass has speed of 5m/s, and the wheel is rotating counter clockwise with an angular spweed of .07 radians/s.Just before impact what is the angular momentum of the combined system of the device plus the clay around the center.

The answer is in vector form, with x and y both being 0

1. A string is fixed at both ends. If only the length (L) increases, then the fundamental frequency goes: (circle one)

up

down

2. If only the tension (T) increases, the fundamental goes: (circle one)

up

down

3. If only the linear mass density increases, the fundamental goes: (circle one)

up

down

4. The tension (T) in a string fixed across a 1 m length (L) is 400 Newtons, and the linear mass density of the string is 0.01 kg/m. What is the fundamental frequency of this string?

5. The tension (T) in a string fixed across a 2 m length (L) is 100 N, and the fundamental frequency is measured to be 100 Hz. What is the linear mass density of the string?

Since the state of emergency is set, a metal rod leads 1200 J off a 400 K reservoir to one with a temperature of 250 K for a certain amount time interval. Determine the entropy change before the hot reservoir; the cold reservoir; the metal rod and the whole system.

Determine the change in entropy for each of the following processes: 1.0 kg of water at a temperature of 100◦C transfers to steam with the temperature 100◦C at constant pressure.1.0 kg of ice at a temperature of 0 ° C transfers to water at a temperature 0◦C.1.0 kg of water with the temperature 0◦C is heated to 100◦C.

A man holding a rock sits on a sled that is sliding across a frozen lake (negligible friction) with a speed of 0.450 m/s. The total mass of the sled, man, and rock is 97.5 kg. The mass of the rock is 0.280 kg and the man can throw it with a speed of 17.5 m/s. Both speeds are relative to the ground. Determine the speed of the sled (in m/s) if the man throws the rock forward (i.e., in the direction the sled is moving).

Determine the speed of the sled (in m/s) if the man throws the rock directly backward.

Can you use the same variational wave function as in (2) to determine the energy of the first excited state of the one-dimensional harmonic oscillator? Why or why not?

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Problem: A popular brain teaser is to consider the motion of a quarter when you roll it around another one; how many times will Washington’s head rotate while the quarter rolls once around the other fixed quarter. This problem is a generalization of this puzzle. Assume a system of units such that the radius of the quarter is equal to one unit. Your task is to determine a parameterized position vector describing the location of the white dot on the rim of the rolling quarter. As the quarter moves, this dot will sweep out a curve in space. Derive the parametric equations for the curve and plot it. Include a copy or sketch of your plot. Hint: The center of the rolling quarter travels along a circle of radius 2

You're driving down the highway late one night at 20 m/s when a deer steps onto the road 39 m in front of you. Your reaction time before stepping on the brakes is 0.50 s , and the maximum deceleration of your car is 12 m/s2 . How much distance is between you and the deer when you come to a stop? What is the maximum speed you could have and still not hit the deer?

What are the recent technology of x-ray fluoroscopy?

1.A radioactive sample has a half-life of 2.5 min. What fraction of the sample is left after 40 min?

2. The energy of a 2.00 keV electron is known to within

Moving with proton i = (2i + 3j - k) m / s velocity in a region where uniform magnetic field B = (21i + 4j + k) T and uniform electric field E = (4i-j-2k) V / m It is. a) Calculate the electrical, magnetic and total force acting on the particle? b) How much angle does the total force vector with the positive x-axis? c) What is the acceleration of the proton? (mp = 1.6x10 ^ 27kg for proton q = 1.6x10 ^ -19C)

B=(2i+4j+k)