Suppose N electrons can be placed in either of two configurations. In configuration 1, they are all placed on the circumference of a narrow ring of radius R and are uniformly distributed so that the distance between adjacent electrons is the same everywhere In configuration 2, N − 1 electrons are uniformly distributed on the ring and one electron is placed in the center of the ring, (a) What is the smallest value of N for which the second configuration is less energetic than the first? (b) For that value of N , consider any one circumference electron—call it e 0 . How many other circumference electrons are closer to e 0 than the central electron is?
Suppose N electrons can be placed in either of two configurations. In configuration 1, they are all placed on the circumference of a narrow ring of radius R and are uniformly distributed so that the distance between adjacent electrons is the same everywhere In configuration 2, N − 1 electrons are uniformly distributed on the ring and one electron is placed in the center of the ring, (a) What is the smallest value of N for which the second configuration is less energetic than the first? (b) For that value of N , consider any one circumference electron—call it e 0 . How many other circumference electrons are closer to e 0 than the central electron is?
Suppose N electrons can be placed in either of two configurations. In configuration 1, they are all placed on the circumference of a narrow ring of radius R and are uniformly distributed so that the distance between adjacent electrons is the same everywhere In configuration 2, N − 1 electrons are uniformly distributed on the ring and one electron is placed in the center of the ring, (a) What is the smallest value of N for which the second configuration is less energetic than the first? (b) For that value of N, consider any one circumference electron—call it e0. How many other circumference electrons are closer to e0 than the central electron is?
6. Bending a lens in OpticStudio or OSLO. In either package, create a BK7 singlet lens of 10 mm semi-diameter
and with 10 mm thickness. Set the wavelength to the (default) 0.55 microns and a single on-axis field point at
infinite object distance. Set the image distance to 200 mm. Make the first surface the stop insure that the lens
is fully filled (that is, that the entrance beam has a radius of 10 mm). Use the lens-maker's equation to
calculate initial glass curvatures assuming you want a symmetric, bi-convex lens with an effective focal length
of 200 mm. Get this working and examine the RMS spot size using the "Text" tab of the Spot Diagram analysis
tab (OpticStudio) or the Spd command of the text widnow (OSLO). You should find the lens is far from
diffraction limited, with a spot size of more than 100 microns.
Now let's optimize this lens. In OpticStudio, create a default merit function optimizing on spot size.Then insert
one extra line at the top of the merit function. Assign the…
No chatgpt pls will upvote
Already got wrong chatgpt answer .
Use the following information to answer the next question.
Two mirrors meet an angle, a, of 105°. A ray of light is incident upon mirror A at an angle, i, of
42°. The ray of light reflects off mirror B and then enters water, as shown below:
A
Incident
ray at A
Note: This diagram is not to
scale.
Air (n = 1.00)
Water (n = 1.34)
B
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