Chapter 33, Problem 026 SN X Incorrect. In the figure, a laser beam of power P and diameter D is directed upward at one circular face (of diameter d < D) of a perfectly reflecting cylinder. The cylinder is levitated because the upward radiation force matches the downward gravitational force. If the cylinder's density is p, what is its height H? State your answer in terms of the given variables, using c and g if needed. D. H =

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Chapter 33, Problem 026 SN

❌ Incorrect.

In the figure, a laser beam of power \( P \) and diameter \( D \) is directed upward at one circular face (of diameter \( d < D \)) of a perfectly reflecting cylinder. The cylinder is levitated because the upward radiation force matches the downward gravitational force. If the cylinder’s density is \( \rho \), what is its height \( H \)? State your answer in terms of the given variables, using \( c \) and \( g \) if needed.

*Diagram Explanation:*

The diagram shows a cylindrical object being levitated by a laser beam. The laser beam is depicted as several vertical arrows pointing upwards towards the bottom face of the cylinder. The cylinder has a diameter \( D \) and a height \( H \). The directed laser beam has a smaller diameter \( d \) than the cylinder's diameter \( D \). The forces are balanced such that the radiation pressure from the laser offsets the gravitational pull on the cylinder.

\( H = \)

*(Note: There is a large box provided in the image for inserting the solution)*
Transcribed Image Text:Chapter 33, Problem 026 SN ❌ Incorrect. In the figure, a laser beam of power \( P \) and diameter \( D \) is directed upward at one circular face (of diameter \( d < D \)) of a perfectly reflecting cylinder. The cylinder is levitated because the upward radiation force matches the downward gravitational force. If the cylinder’s density is \( \rho \), what is its height \( H \)? State your answer in terms of the given variables, using \( c \) and \( g \) if needed. *Diagram Explanation:* The diagram shows a cylindrical object being levitated by a laser beam. The laser beam is depicted as several vertical arrows pointing upwards towards the bottom face of the cylinder. The cylinder has a diameter \( D \) and a height \( H \). The directed laser beam has a smaller diameter \( d \) than the cylinder's diameter \( D \). The forces are balanced such that the radiation pressure from the laser offsets the gravitational pull on the cylinder. \( H = \) *(Note: There is a large box provided in the image for inserting the solution)*
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