A certain microscope consists of an objective lens, (Lens 1), and a tube lens (Lens 2). The object is placed at the front focal plane of the objective lens and the image is at the back focal plane of the tube lens. The tube lens has a focal length of 200mm. The objective is labeled 20X, which means that the magnification will be 20 when used with this particular tube lens. The working distance (the distance from the object to the front vertex of the objective is given in the instruction manual as 7 mm. The lenses are separated by the sum of their focal lengths. Assuming thin lenses what is the matrix for the combination?

Now the objective isn’t really a thin lens (or even a simple one). Where is its front principal plane located?

Now you have bought the microscope objective talked about above, but you want to build your own microscope. Your tube lens has a focal length of 100mm. You will change the spacing of the lenses so that it is still the sum of the focal lengths. What is the magnification of your microscope.

Two stationary positive point charges, charge 1 of magnitude 3.45nC and charge 2 of magnitude 1.80nC , are separated by a distance of 40.0cm . An electron is released from rest at the point midway between the two charges, and it moves along the line connecting the two charges What is the speed

vfinal of the electron when it is 10.0cm from charge 1?

Consider three point charges at the corners of an equilateral triangle, its base sitting on the x-axis, with charge qA positioned at the origin, qB is at x=+3.50 cm, and qC is at the (top) third corner. qC = +2.60 μC, and the net electric force on qC is 375.0 N in the negative y direction. a. Explain briefly but clearly how you know that qA and qB must have the same magnitude charge and what the sign of that charge must be. b. Find the sign and magnitude of the charges on qA and qB.

Jack (mass 56.0 kg) is sliding due east with speed 8.00 m/s on the surface of a frozen pond. He collides with Jill (mass 44.0 kg ), who is initially at rest. After the collision, Jack is traveling at 5.00 m/s in a direction 34.0∘ north of east. Ignore friction. a) What is the direction of the Jill's velocity after the collision? b) What is the magnitude of the Jill's velocity after the collision?

How does an electron microscope work? Please explain in detail.

A uniform cylinder of radius R and mass M is mounted so as to rotate freely about a horizontal axis that is parallel to, and a distance h from the central longitudinal axis of the cylinder. (a) What is the rotational inertia of the cylinder about the axis of rotation? (b) If the cylinder is released from rest with its central longitudinal axis at the same height as the axis about which the cylinder rotates, what is the angular speed of the cylinder as it passes through its lowest position? State your answers in terms of the given variables, using g when appropriate.

Pre-Lab Questions

1.   How are electric potential and electric field similar? How are they different?

2.   Draw the equipotential lines for a single, positive, charge.

3.   If you were to walk on an equipotential line, how would your electric potential change over time?

4.   What does it mean when equipotential lines are closer together? What does it mean when they are farther apart?

5.   What direction do electric fields travel?

a) Explain with quantification the terms ‘thermal’ and ‘fast’ to describe neutrons.
b) Describe fully three important neutron interactions in a thermal nuclear power reactor.
c) Describe the range of materials in which these neutron interactions occur and their function in a
nuclear reactor.
d) Explain the criticality of the power generation process in terms of these reactions and give a
relevant equation with explanation.

1. How can a neutral item be attracted to a charged object? Devise a test that will tell you whether the ball was neutral or positive. You can use any tools, even something not in your lab kit.

2. Your mother told you never to remove toast from a toaster with a metal knife. Did you listen? Let's say for a moment that you didn't. Which are you more likely to survive, being in parallel with the toaster wires or being in series? Explain.

3. Voltages are always measured between two points. Why?

4. If you wish to store a large amount of energy in a capacitor bank, would you connect capacitors in series or parallel? Explain.

So I know that two particles can be entangled in a quantum way, but is it possible that more than two particles be entangled in a quantum way? Most descriptions provide with two-particles cases, so I wonder. (It's hard to think of three particles entangled in spin, or so.)

How have the abundance of H and He in the universe changed since the big bang? Why or why not?

An isolated parallel-plate capacitor (not connected to a battery) has a charge of Q = 2.4×10−5C. The separation between the plates initially is d = 1.2 mm, and for this separation the capacitance is 3.1×10−11F. Calculate the work that must be done to pull the plates apart until their separation becomes 8.3 mm, if the charge on the plates remains constant. The capacitor plates are in a vacuum.

Express your answer using two significant figures

What is meant by self consistency ? can you give any real life example or example from physics to explain self consistency ?

1. a) The star μ Cephei has an apparent magnitude of +4.73 in the V-band. How many times brighter is its apparent brightness in the V-band than in the B-band if its B-V color index is +2.35?

b) Explain how μ Cephei’s apparent R-band magnitude of +1.98 demon- strates why this star is also known as the Crimson Star.

c) Given that μ Cephei has a luminosity of 3.7 · 105L⊙, estimate this star’s absolute magnitude given its distance of approximately 1800 pc. As- sume that the Sun has an absolute bolometric magnitude of +4.83.

d) μ Cephei also has a surface temperature of 3690 K, estimate its radius. If it were placed inside the Solar System, which planets would be orbitting inside of it?