Someone plans to float a small, totally absorbing sphere 0.522 m above an isotropic point source of light, so that the upward radiation force from the light matches the downward gravitational force on the sphere. The sphere's density is 20.8 g/cm3, and its radius is 2.20 mm. (a) What power would be required of the light source? (b) Even if such a source were made, would the support of the sphere be unstable? Assume that the speed of light is 2.998*108 m/s.

Someone plans to float a small, totally absorbing sphere 0.522 m above an isotropic point source of light, so that the upward radiation force from the light matches the downward gravitational force on the sphere. The sphere's density is 20.8 g/cm3, and its radius is 2.20 mm. (a) What power would be required of the light source? (b) Even if such a source were made, would the support of the sphere be unstable? Assume that the speed of light is 2.998*108 m/s.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter34: Maxwell’s Equations And Electromagnetic Waves

Section: Chapter Questions

Problem 60PQ

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Question

*Chapter 33, Problem 023
Someone plans to float a small, totally absorbing sphere 0.522 m above an isotropic point
source of light, so that the upward radiation force from the light matches the downward
gravitational force on the sphere. The sphere's density is 20.8 g/cm3, and its radius is 2.20
mm. (a) What power would be required of the light source? (b) Even if such a source were
made, would the support of the sphere be unstable? Assume that the speed of light is
2.998*108 m/s.
(a) Number
1 Units
(b)

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