A thin plate has a round hole whose diameter in its rest frame is D. The plate is parallel to the ground and moving upward, in the + y direction, relative to the ground. A thin round disk whose diameter in its rest frame is D is also parallel to the ground but moving in the + x direction relative to it. In the frame of the ground, the plate and disk are on course so that the centers of the hole and disk will at some point coincide. The disk is contracted, but the hole in the plate is not, so the disk will pass through the hole. Now consider the frame of the disk. The disk is of diameter D, but the hole is contracted. Can the disk pass through the hole, and if so, how?
A thin plate has a round hole whose diameter in its rest frame is D. The plate is parallel to the ground and moving upward, in the + y direction, relative to the ground. A thin round disk whose diameter in its rest frame is D is also parallel to the ground but moving in the + x direction relative to it. In the frame of the ground, the plate and disk are on course so that the centers of the hole and disk will at some point coincide. The disk is contracted, but the hole in the plate is not, so the disk will pass through the hole. Now consider the frame of the disk. The disk is of diameter D, but the hole is contracted. Can the disk pass through the hole, and if so, how?
A thin plate has a round hole whose diameter in its rest frame is D. The plate is parallel to the ground and moving upward, in the
+
y
direction, relative to the ground. A thin round disk whose diameter in its rest frame is D is also parallel to the ground but moving in the
+
x
direction relative to it. In the frame of the ground, the plate and disk are on course so that the centers of the hole and disk will at some point coincide. The disk is contracted, but the hole in the plate is not, so the disk will pass through the hole. Now consider the frame of the disk. The disk is of diameter D, but the hole is contracted. Can the disk pass through the hole, and if so, how?
Fresnel lens: You would like to design a 25 mm diameter blazed Fresnel zone plate with a first-order power of
+1.5 diopters. What is the lithography requirement (resolution required) for making this lens that is designed
for 550 nm? Express your answer in units of μm to one decimal point.
Fresnel lens: What would the power of the first diffracted order of this lens be at wavelength of 400 nm?
Express your answer in diopters to one decimal point.
Eye: A person with myopic eyes has a far point of 15 cm. What power contact lenses does she need to correct
her version to a standard far point at infinity? Give your answer in diopter to one decimal point.
Paraxial design of a field flattener. Imagine your optical system has Petzal curvature of the field with radius
p. In Module 1 of Course 1, a homework problem asked you to derive the paraxial focus shift along the axis
when a slab of glass was inserted in a converging cone of rays. Find or re-derive that result, then use it to
calculate the paraxial radius of curvature of a field flattener of refractive index n that will correct the observed
Petzval. Assume that the side of the flattener facing the image plane is plano. What is the required radius of
the plano-convex field flattener? (p written as rho )
3.37(a) Five free electrons exist in a three-dimensional infinite potential well with all three widths equal to \( a = 12 \, \text{Å} \). Determine the Fermi energy level at \( T = 0 \, \text{K} \). (b) Repeat part (a) for 13 electrons.
Book: Semiconductor Physics and Devices 4th ed, NeamanChapter-3Please expert answer only. don't give gpt-generated answers, & please clear the concept of quantum states for determining nx, ny, nz to determine E, as I don't have much idea about that topic.
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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