You measured the force between two charged pith balls where the pith balls were of the same size and mass. Your assumption was that the charge on the balls was the same. Now, you charge the balls so that they hang a distance r apart. Then you step out to get a drink of water, and when you return, you find the distance between the pith balls is half what it was before you got a drink. In terms of the length L, the charge Q, and the original angle θ, find the new charge on the pith balls and the new angle at which they hang.

Make a phasor diagram for an LRC circuit 5000 Hz if voltage across LC is 4.0 V, voltage across a resistor is 9.0 V, peak current is .09 A, and the phase difference between R to LC is 6.3 radians. I always rate for helpful answers

Describe the reduction in the spherical aberration for a plano-convex lens for the special case of collimated light (parallel light) focused down to a focal point.

Which orientation of the lens gives the least spherical aberration and why?

Show ray diagrams

Describe how and axial-GRIN lens can further reduce the spherical aberration. Again show a qualitative ray diagram.

Consider the matrix methode for a single thin lense, ie, make the same assumption that we made when we developed the lensmaker formula.

Use this to determine the (simple) System Matrix, A, for the thin lense.

Do the entries in this System Matrix make sense?

What is the determinant of the thin lense System Matrix?

Astrophysics

How do we know which one of the two energy transport equations to use?

(a) Construct the P-V graph for the Carnot cycle operating between 700 and 200 ^oC if isothermal expansion of water vapor occurs between 1 and 8 L/mol. Determine the relevant quantities of heat, work, energy and entropy. Compare the results obtained using the IGL and the NIST database.

3. Explain why one side of the single magnet attracted the metal surface, but repelled the stack of magnets.

4. What orientation of the magnets gives the strongest repulsion or attraction? Why do you think that is the case? What must be true of the magnetic field at those locations compared to other locations around the magnet?

5. If you cut a bar magnet in half, are the two halves still magnets? Explain your reasoning

.6. How does the magnet attract something that is originally non-magnetic?

An electron in the beam of a cathod-ray tube is accelerated by a potential difference of 2.20 kV . Then it passes through a region of transverse magnetic field, where it moves in a circular arc with a radius of 0.185 m .

1) What is the magnitude of the field?

Express your answer with the appropriate units.

Consider three point charges arranged along the xx axis. Charge q1q1q1 = -4.20 nCnC is located at x=x= 0.240 mm and charge q2q2q2 = 2.40 nCnC is at x=x= -0.310 mm . A positive point charge q3q3 is located at the origin.

a-Calculate the value of q3q3 such that the net force on this point charge has a magnitude of 4.80 μNμN

b-Where along the xx axis can q3q3 be placed and the net force on it be zero, other than the trivial answers of x=+∞x=+∞ and x=−∞x=−∞?

(a) Show that if operators have common eigenstates they will commute.

(b) Show also that the opposite is true too: if two operators commute they have common eigenstates.

What are the three neutron interactions of interest in a fissile environment?

Briefly explain the quantization of the rotational kinetic energy in two dimensions with a figure.
And explain what it means to rotate electrons in a hydrogen atom.

Describe how a mechanical wave reflects off of different surfaces. Explain why reflection is different for a loose end vs a fixed end

Describe what happens to the displacement of the string when the waves interfere in each instance.

*Upload a screenshot of two different standing wave situations.

Explain why they are standing waves.

*Describe the variable values for each situation (v, L, f, λ, n)

Consider the step potential
V (x) = 0 x ≤ 0 (I)

= V0 x > 0 (II) .
(a) What does the wave function for the scattering problem with 0 < E < V0 look like in regions I and II? (Write the equation for the wave functions, including only terms with non-zero coefficients.)
(b) What are the boundary conditions for the wave function and its derivative at x = 0? Define constants you are using (e.g., κ, k, l or whatever else you are using).
(c) Find the reflection coefficient.

A 1410-kg car moving east at 17.0 m/s collides with a 1880-kg car moving south at 15.0 m/s, and the two cars connect together.

a) What is the magnitude of the velocity of the cars right after the collision? (m/s)

b) What is the direction of the cars right after the collision? Enter the angle in degrees where positive indicates north of east and negative indicates south of east. (°)

c) How much kinetic energy was converted to another form during the collision? ( kJ)