a) Consider the excited state of beryllium with an electron configuration of 1s22s2p.      (i) What is the degeneracy of this electron configuration (i.e., how many distinct sets of quantum numbers are consistent with this configuration)?    [Note: The 2s and 2p electrons are in different sub-shells.]

   (ii) Determine the set of "term symbols" (e.g., 1S0, 3P2, etc.) for this configuration and the degeneracy of each of them. Confirm that the sum of the degeneracies is equal to your answer in (i).

b) Consider the electron configuration of titanium (1s22s22p63s23p64s23d2).

(i) Show that the possible states for this electron configuration are 1S, 1D, 1G, 3P, and 3F.   [Hint: For two electrons in the same sub-shell, the spatial state is symmetric for even L and antisymmetric for odd L.]

(ii) Determine the values of J associated with each of these term symbols and show how Hund’s rules determine which of these states has the lowest energy.

Projectile Motion - Rocket Clears Wall - General Launch Angle

A rocket is fired at an initial speed v0 = 165.0 m/s from ground level, at an angle θ = 50° above the horizontal.

A wall is located at d = 67.0 m. Its heigh is h = 47.0 m. Ignore air resistance.

The magnitude of the gravitational acceleration is 9.8 m/s2.

Choose the RIGHT as positive x-direction. Choose UPWARD as psotitive y-direction

Find v0x, the x component of the initial velocity (in m/s) . Keep 2 decimal places.

Find v0y, the y component of the initial velocity (in m/s) . Keep 2 decimal places.

You will calculate the time at which the rocket flies over the wall.

To find this time, should you use the horizontal (x) motion or the vertial (y) motion?

(a) At what time (in seconds) (after being fired) does the rocket fly over the wall? Keep 4 decimal places.

Note: when the rocket flies over the wall, in general, the height of the rocket is not equal to the maximum height.

(b) What is the rocket's height (in meters) when it flies over the wall? Keep 3 decimal places.

(c) By how much (in meters) does the rocket clear the top of the wall? Keep 3 decimal places.

(d) What is the rocket's maximum height (in meters) above the ground? Keep 2 decimal places.

Suppose that we have two masses, m1 and m2, traveling at initial velocities v1i and v2i . After they collide, they will have velocities v1f and v2f . The collision will happen along a straight line, and there are no external forces involved.

Exercise 1 Let m1 = 0.20 kg, m2 = 0.50 kg, v1i = 0.50 m/s, and v2i = 0.0 m/s. If v2f = 0.286 m/s, what is v1f ?

For the collision above what are the initial and final kinetic energies? Is kinetic energy conserved in the collision?

Let m1 = 500 g, m2 = 500 g, v1i = 0.45 m/s, and v2i = 0.0 m/s. If v1f = 0.225 m/s, what is v2f ? Simply stated, what would you say about the two masses after the collision? What type of collision is this?

Find the total Coulomb force on the charge q , given that q=+1.00μC , qa=+2.00μC , qb=−2.00μC , qc=−3.00μC , q=+4.00μC . The square is 50.0 cm on a side.

6. Which type of instrument would best be used to look at a grain of wheat pollen.

a) optical microscope

b) radio telescope

c) transmission electron microscope

d) scanning electron microscope

e) variable electron microscope

14) Rutherford’s alpha particle -scattering experiment showed that most alpha particles directed toward a thin metallic foil passed through with only slight deviations. From this evidence we can conclude that.....

18. Two stars star A and star B are the same size. The temperature of star A is 8000 K and the temperature of star B is 4000 K. How do their total luminosities compare.

A major leaguer hits a baseball so that it leaves the bat at a speed of 31.9 m/s and at an angle of 35.6 ∘ above the horizontal. You can ignore air resistance.At what two times is the baseball at a height of 10.2 m above the point at which it left the bat? Give your answers in ascending order separated with comma. t1,t2 = s Previous AnswersRequest Answer Incorrect; Try Again; 2 attempts remaining Part BPart complete Calculate the horizontal component of the baseball's velocity at an earlier time calculated in part (a). vx = 25.9 m/s Previous Answers Correct Part C Calculate the vertical component of the baseball's velocity at an earlier time calculated in part (a). vy = m/s Previous AnswersRequest Answer Incorrect; Try Again; 2 attempts remaining Part D Calculate the horizontal component of the baseball's velocity at a later time calculated in part (a). vx = nothing m/s Request Answer Part E Calculate the vertical component of the baseball's velocity at a later time calculated in part (a). vy = nothing m/s Request Answer Part F

What is the magnitude of the baseball's velocity when it returns to the level at which it left the bat?

SubmitRequest Answer

Part G

What is the direction of the baseball's velocity when it returns to the level at which it left the bat?

magnitude of the baseball's velocity when it returns to the level at which it left the bat? v = nothing m/s Request Answer Part G What is the direction of the baseball's velocity when it returns to the level at which it left the bat? θ = nothing ∘ below the horizontal Request Answer Provide Feedback

hiker starts at his camp and moves the following distances while exploring his surroundings: 75.0 m north, 2.50 x 10^2 m east, 125 m at an angle 30.0

how do you find velocity and distace travelled from an acceleration time. graph? (given: Vo=0, car is moving in straight direction) graph is a piecewise { y=-x [0,5] and y=0 [5,infinity] }

the three displacements given are 69.8m , 53? west of north; 11.3m straight north; and 83.6m , 42? south of east. What magnitude does the winner calculate for the displacement to find the keys to the Porsche?

Approximately how many atoms are there in a baby elephant (mass 240 kg)? Give the order of magnitude (power of ten).

The feet of the elephant are approximately round with a radius of 6 cm. How much average pressure does the elephant exert on the ground under its feet if it is standing on all four feet? (in kPa)

The elephant has a volume of 0.23 m³. If it is taking a bath with 54 percent of its volume under water (fresh water, density 1 g/cm³), how much average pressure do its feet exert on the bottom of the pool? (in kPa)

Projectile Motion - From Ground - General Launch Angle A rocket is fired at an initial speed v0 = 160.0 m/s from ground level, at an angle θ = 46° above the horizontal. Ignore air resistance. The magnitude of the gravitational acceleration is 9.8 m/s2. Choose the RIGHT as positive x-direction. Choose UPWARD as psotitive y-direction Keep 2 decimal places in all answers

A. Find v0x, the x component of the initial velocity (in m/s)

B.Find v0y, the y component of the initial velocity (in m/s)

C.How long (in seconds) does it take the rocket to reach the maximum height?

D.How long (in seconds) is the rocket in the air before hitting the ground?

E.What maximum height (in meters) does the rocket reach above the ground?

F.What is the range (the horizontal distance) (in meters) the rocket travels before hitting the ground?

please show work and reasoning

1) What happens to a light wave with velocity v = ??, when it travels from air into
glass? (a) Its speed remains the same. (b) Its speed increases. (c) Its
wavelength increases. (d) Its wavelength remains the same. (e) Its frequency
remains the same.

2) A Crystal Gyser

A 1kg ring with a radius of 10 cm rolls down a board inclined at 30 degrees from a height of 4 meter. At the bottom of the inclined, n a frictionless table fits a 3-kg block. After coming off of the incline, the ring slides (without rolling) until colliding and coupling with the block. The ring-block system then continues to move and flies off the edge of the 1.5 meter high table. What is the velocity of the ring-block system after the collision?

A point charge of -2.5 µC is located at the origin. A second point charge of 9 µC is at x = 1 m, y = 0.5 m. Find the x and y coordinates of the position at which an electron would be in equilibrium.

1)x =( ) m

2)y = ()m

The index of refraction in flint glass for these components of white light - blue, yellow, and red colors are 1.639, 1.627, and 1.622 respectively. (a) Calculate, in nanometers, to four significant figures, the wavelengths of these colors in flint glass (b) During the time the blue light travels 1.000 m in flint glass, the red light will travel (1) more than, (2) less than, (3) exactly 1.000 m. (c) Calculate the difference in the distance traveled by the two colors.