A 13.0-mW helium-neon laser emits a beam of circular cross section with a diameter of 3.10 mm.(a) Find the maximum electric field in the beam.(b) What total energy is contained in a 1.00-m length of the beam?(c) Find the momentum carried by a 1.00-m length of the beam.Step 1We will find the reasonable size of the electric field in a beam of bright light. At the speed of light, only a smallfraction of a joule is contained in a meter-length beam. The momentum of the beam is a very small fraction of akg. m/s. Light is described by energy and momentum but possesses no mass.Step 2We will use the equation relating the intensity of light to the wave amplitude. From the definition of intensity, wecan find the energy content of the beam of light. Then the relationship between momentum, energy, and thespeed of light will give us the momentum of a length of the beam.Step 3The intensity of light I is given by the average magnitude of the Poynting vector. We have2I = S₂avgPTr²Emax2μ0Cmaxwhere P is power, r is the radius of the beam, E, is the maximum value of the electric field, is the constantpermeability of free space, and c is the speed of light.

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A 13.0-mW helium-neon laser emits a beam of circular cross section with a diameter of 3.10 mm. (a) Find the maximum electric field in the beam. (b) What total energy is contained in a 1.00-m length of the beam? (c) Find the momentum carried by a 1.00-m length of the beam.

A 13.0-mW helium-neon laser emits a beam of circular cross section with a diameter of 3.10 mm. (a) Find the maximum electric field in the beam. (b) What total energy is contained in a 1.00-m length of the beam? (c) Find the momentum carried by a 1.00-m length of the beam.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter24: Electromagnetic Waves

Section: Chapter Questions

Problem 28P

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