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Question: What is the radiation pressure 1.5maway from a 500wlight bulb? Assume that the surface on which the pressure is exerted faces the bulb and is perfectly absorbing and that the bulb radiates uniformly in all directions.

Short Answer

Expert verified

The radiation pressure prispr=5.910-8Pa.

Step by step solution

01

Given

Distance, r=1.5m

Power, P=500w

02

Determining the concept

The radiation pressure formula is for the total absorption of radiation. First, find the force on the surface due to radiation, and substituting this value and area of the surface, calculate the radiation pressure of the light bulb. When electromagnetic radiation of intensityis incident on a perfectly reflective surface, the radiation pressurePexerted on the surface is given by,, wherecis the speed of light.

03

Determining the radiation pressure 1.5 m away from a  500w light bulb

If the radiation is completely absorbed by the surface, the force is,

F=IAC

is the intensity of radiation, and Ais the area of the surface perpendicular to the path of the radiation.

The radiation radiated by the bulb is uniform in all directions.

The intensity Iis related to the power of the bulb as,

I=PA

where, A=4蟺谤2is the surface area of the bulb.

I=P4蟺谤2

The radiation pressure pris the force per unit area.

pr=FA

The radiation pressure pris the force per unit area.

Pr=P4蟺谤2c=500w41.5m23108m/s=5.910-8Pa

Therefore, the radiation pressure is pr=5.910-8Pa.

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