The left end of a long glass rod 8.00 cm in diameter, with an index of refraction 1.64, is ground and polished to a convex hemispherical surface with a radius of 4.00 cm . An object in the form of an arrow 1.49 mm tall, at right angles to the axis of the rod, is located on the axis 23.5 cm to the left of the vertex of the convex surface.
Required:
a. Find the position of the image of the arrow formed by paraxial rays incident on the convex surface.
b. Find the height of the image formed by paraxial rays incident on the convex surface.
c. Is the image erect or inverted?
Answers: 1
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The scalar triple product computes the magnitude m of the moment of a force vector f about a specified line. it is m = (r × f) · n, where r is the position vector from the line to the point of application of the force and n is a unit vector in the direction of the line. use matlab to compute the magnitude m for the case where f = [12, −5, 4] n, r = [−3, 5, 2] m, and n = [6, 5, −7].
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The left end of a long glass rod 8.00 cm in diameter, with an index of refraction 1.64, is ground an...
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