| An adventurous archaeologist crosses between two rock cliffs by slowly going hand over hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope ( Figure 5.39 ). The rope will break if the tension in it exceeds 2.50 × 10 3 N. Our hero’s mass is 90.0 kg. (a) If the angle e is 10.0 °. fine the tension in the rope. Start with a free-body diagram of the archaeologist (b) What is tl1e smallest value the angle θ can have if t11e rope is not to break? Figure 5.39 Problem 5.
| An adventurous archaeologist crosses between two rock cliffs by slowly going hand over hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope ( Figure 5.39 ). The rope will break if the tension in it exceeds 2.50 × 10 3 N. Our hero’s mass is 90.0 kg. (a) If the angle e is 10.0 °. fine the tension in the rope. Start with a free-body diagram of the archaeologist (b) What is tl1e smallest value the angle θ can have if t11e rope is not to break? Figure 5.39 Problem 5.
| An adventurous archaeologist crosses between two rock cliffs by slowly going hand over hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (Figure 5.39). The rope will break if the tension in it exceeds 2.50 × 103N. Our hero’s mass is 90.0 kg. (a) If the angle e is 10.0 °. fine the tension in the rope. Start with a free-body diagram of the archaeologist (b) What is tl1e smallest value the angle θ can have if t11e rope is not to break?
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.
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