(7) A laser with a circular cross section is used to suspend a spherical aluminum bead in Earth's gravitational field, by balancing the force coming from the radiation pressure against the downward gravitational force. The bead has a mass of 1.0 x 10-6 grams and a radius of 3.5 x 10-3 cm. Some helpful information is: g = 9.8 m/s2; Fgravity = mg; Volume of a sphere = r3; Area of a circle = Tr2. %3D %3D (i) What is the radiation intensity needed to support the aluminum bead, assuming the bead reflects all the incident laser light? (ii) What is the radiation intensity needed to support the aluminum bead, assuming the bead absorbs all the incident laser light? (iii) If the laser beam has a radius of 0.10 cm, what is the power required for this laser? (iv) What is the maximum magnetic field of this laser light? (v) What is the maximum electric field of this laser light?

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter34: Electromagnetic Waves
Section: Chapter Questions
Problem 34.25P
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(7) A laser with a circular cross section is used to suspend a spherical aluminum bead in Earth's
gravitational field, by balancing the force coming from the radiation pressure against the
downward gravitational force. The bead has a mass of 1.0 x 10-6 grams and a radius of
3.5 x 10-3 cm. Some helpful information is:
g = 9.8 m/s2; Fgravity = mg; Volume of a sphere = r3; Area of a circle = Tr2.
%3D
%3D
(i) What is the radiation intensity needed to support the aluminum bead, assuming the bead
reflects all the incident laser light?
(ii) What is the radiation intensity needed to support the aluminum bead, assuming the bead
absorbs all the incident laser light?
(iii) If the laser beam has a radius of 0.10 cm, what is the power required for this laser?
(iv) What is the maximum magnetic field of this laser light?
(v) What is the maximum electric field of this laser light?
Transcribed Image Text:(7) A laser with a circular cross section is used to suspend a spherical aluminum bead in Earth's gravitational field, by balancing the force coming from the radiation pressure against the downward gravitational force. The bead has a mass of 1.0 x 10-6 grams and a radius of 3.5 x 10-3 cm. Some helpful information is: g = 9.8 m/s2; Fgravity = mg; Volume of a sphere = r3; Area of a circle = Tr2. %3D %3D (i) What is the radiation intensity needed to support the aluminum bead, assuming the bead reflects all the incident laser light? (ii) What is the radiation intensity needed to support the aluminum bead, assuming the bead absorbs all the incident laser light? (iii) If the laser beam has a radius of 0.10 cm, what is the power required for this laser? (iv) What is the maximum magnetic field of this laser light? (v) What is the maximum electric field of this laser light?
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