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Question 1
You have three identical quarter wave plates, which are cascaded. They are parallel to each other and share a common optical axis. The second is rotated (around the common axis) a degrees relative to the first and the third one has the same orientation as the first. What is the overall Jones matrix (as a function of a)? What is the output state of polarisation when circularly polarized light is presented to the input (consider both the left and the right handed case). Is this device reciprocal?
Question 2
A monochromatic plane wave is incident on a reflective blazed grating (of infinite size) and is diffracted to a single plane wave (which is not the 0th order reflection).
Describe in qualitative terms what changes in the behavior when:
a. The wavelength doubles
b. The wavelength halves
c. The blazed grating has finite size
d. The angle of incidence changes
(these are four independent questions)
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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