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A vertical infinite wire along the z-axis has two symmetries: One is a rotational symmetry around...

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Physics

A vertical infinite wire along the z-axis has two symmetries:One is a rotational symmetry around the z-axis while the other is atranslational symmetry along the z-axis. Describe the symmetries ofa) a sphere, b) an infinite plane, c) a circular plate, d) a finitelength rod with circular cross section, and e) a finite length barwith a square cross section.

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Answer & Explanation Solved by verified expert
4.1 Ratings (618 Votes)
a Sphere Position the center of the sphere at origin of coordinate axes Then the continuous symmetries are Rotation about X axis Rotation about Y axis Rotation about Z axis In fact the sphere will be symmetric under rotation about any axis passing through the origin but those rotations can be written in terms of    See Answer
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