6. Consider the probability distributions of hydrogen angular states. (a) (5 pts) For what values of θ is the angular probability density maximum and minimum for l = 1, m = 0? (b) (5 pts) For what values of θ is the angular probability density maximum and minimum for l = 3, m = ±1? This may be difficult to do analytically, so make a plot with your computer, or simply sketch the function

5. The wireless networking standard known as Wi-Fi encompasses several frequency bands in the microwave part of the electromagnetic spectrum. The two most common are the 2.4GHz and 5GHz bands.

a) Wi-Fi channels in the 2.4GHz band range from 2.401GHz to 2.473GHz in the US. What range of wavelengths correspond to these frequencies?

b) Wi-Fi channels in the 5GHz band range from 5.170GHz to 5.835GHz in the US. What range of wavelengths correspond to these frequencies?

A charge of q = 4.00 ✕ 10−9 C is spread evenly on a thin metal disk of radius 0.160 m. HINT (a) Calculate the charge density (in C/m2) on the disk. C/m2 (b) Find the magnitude of the electric field (in N/C) just above the center of the disk, neglecting edge effects and assuming a uniform distribution of charge. N/C

How does an ammeter, a voltmeter, and an ohmmeter work. Shunt resistance, etc.

The Earth’s magnetic field undergoes periodic reversals. How was this discovered, and by whom? What is the current best theory of its cause?

Bob is in a gravitational potential well, he moves a long vertical stick up and down a distance of 1 meters. Alice observes the upper end of the stick, at upper location.

There is the phenomenon of redshift of energy, so either Alice measures a shorter motion than 1 meters, or alternatively Alice measures a weakened force.

So I'm asking: is Bob weak, or is Bob short?

Three astronauts, propelled by jet backpacks, push and guide a 123 kg asteroid toward a processing dock, exerting the forces shown in the figure, with F₁ = 35 N, F₂ = 55 N, F₃ = 40 N, θ₁ = 30°, and θ₃ = 60°. What is the (a) magnitude and (b) angle (measured relative to the positive direction of the x axis in the range of (-180°, 180°]) of the asteroid's acceleration?

A photon of wavelength 0.65037 nm strikes a free electron that is initially at rest. The photon is scattered straight backward. What is the speed of the recoil electron after the collision?

1.) Motors and generators  

a) In a homopolar motor (like Faraday’s motor), what happens to the motion if the current is reversed?

b) Who was William Sturgeon and what was his connection to motor improvement?

c) What is the voltage induced in a generator with 974 turns, an area of 195 mm² turning at a rate of 42 rpm with a constant field of 0.0209 T?

A U-shaped tube is filled mostly with water, but some vegetable oil has been added to both sides of the U tube. On the right side of the tube, the depth of oil is 7.00cm . On the left side of the tube, the depth of the oil is 2.80cm . The density of the water is 1.00

a) A ball of charge +q is placed on the x-axis at x=0. A second ball of charge +16q is placed on the x-axis at x = -2a. A third ball , with a charge that has a magnitude of q, is placed on the x - axis at a n unknown location . If the net electrostatic force exerted on the ball at the origin due to the other two balls has a magnitude of 5kq^2/a^2, what is the location of the thir d ball and the sign of the third ball

Discussion Question 1:

Discuss the differences between the Einstein’s Theory of Relativity and Classical Physics Theory (i.e. Galileo and Newton, etc.)

Discussion Question 2:

Discuss the wave-particle duality of light and its implications. What are possible industrial applications?

Three uniform sticks, each of mass m, are placed on the floor as follows: stick 1 lies along the y axis from y = 0 to y = 3.5 m , stick 2 lies along the x axis from x = 0 to x = 3.5 m , stick 3 lies along the x axis from x = 3.5 m to x =7.0 m .

A.Find the x-coordinate of the center of mass of the sticks.

B.Find the y-coordinate of the center of mass of the sticks.

C.How would the location of the center of mass be affected if the mass of the sticks were doubled? Explain

A car starts from rest at a stop sign. It accelerates at 2.0 m/s2 for 6.3 seconds, coasts for 3.0 s , and then slows down at a rate of 1.5m/s2 for the next stop sign.

a) How far apart are the stop signs?

Express your answer with the appropriate units.

Physics Question:

Write a brief (one to two paragraph) essay discussing what a physicist means by a "force". Include a discussion of what the different kinds of forces are that we have talked about in this class and some of their properties.