Which of the following statements are true concerning sign conventions for image formation?

Check all that apply.

a.A converging lens has a negative focal length; a diverging lens has a positive focal length.
b.For an upright image, the magnification is positive; for an inverted image, the magnification is negative.
c.A virtual image has a positive image distance; a real image has a negative image distance.
d.When the center of curvature of a spherical mirror is on the same side as the reflected light, the radius of curvature is positive; otherwise, it is negative.
e.When the object is on the same side of the reflecting or refracting surface as the incoming light, the object distance is positive; otherwise, it is negative.

he isotope 81Thallium204 has a half-life of 3.78 years and can be used as a nanotechnology MEMS (Micro Electric Mechanical System) power source device. It decays through beta emission into 82Pb204 with a branching ratio of 97.1 percent with an average decay energy of 0.764 MeV. It also decays through electron capture to 80Hg204 with a branching ratio of 2.9 percent with a decay energy of 0.347 MeV.

Calculate the energy release per decay event in [MeV/disintegration]

Calculate its total specific activity in [Becquerels / gm].

Calculate its total specific activity in [Curies / gm].

Calculate the specific power generation in [Watts(th) / gm].

For a 100 Watts of thermal power in a Radioisotope Heating Unit (RHU) power generator, how many grams of 81Thallium204 are needed?

After 3.78 years of operation, what would its power become?

Use: 1 MeV/sec=1.602x10-13 Watts, Av=0.602x1024 [nuclei/mole], 1 Curie=3.7x1010 Bq.

Two large parallel copper plates are 3.60 cm apart and have a uniform electric field of magnitude E = 7.98 N/C between them (see the figure). An electron is released from the negative plate at the same time that a proton is released from the positive plate. Neglect the force of the particles on each other and find their distance from the positive plate when they pass each other.

Is about optics
Please make all the math then explain physically according the problem and justify the equations !!
Determine the intensity of the first three maximums in the Fraunhofer diffraction of a slit with a width "a".

Question 1

1. You find that statistical uncertainty is your largest measurement uncertainty and that the IV value is your largest propagated uncertainty. How can you try to improve both uncertainties in the simplest, but most effective way?

   		Choose from these answers start over to collect the same number of DV measurements as before, but at a greater variety of IV data points than before
   		take more measurements for the DV values at the IV data points already measured
   		collect DV data for new IV data points
   		take more measurements for the DV value at the IV data points already collected and add more IV data points
   		use a new DV instrument to take more  DV measurements for the  IVdata points already collected and collect additional DV data for more IV data points not previously measured
   		use a new IV instrument but the same DV instrument to collect the same number of measurements at a wider variety of IV data points
   		use a new IV instrument but the same DV instrument to collect more DV measurements than before at the same IV data points

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?

Delete

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