Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

High-power lasers are used to compress a plasma (a gas of charged particles) by radiation pressure. A laser generating radiation pulses with peak power $1 .5 \times 10^{3} MW$ is focused onto 1.00 mm² of high-electron-density plasma. Find the pressure exerted on the plasma if the plasma reflects all the light beams directly back along their paths.

Pressure exerted on the plasma if the plasma reflects all the light beams directly back along their paths is $1 \times 10^{7} P a$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Listing the given quantities

Power of radiation $P = 1.5 \times 10^{3} M W$

Area A=1.00 mm²

Step 2: Understanding the concepts of radiation pressure formula

Substituting the given values of power, area, and speed of light in the radiation pressure formula, we can find the pressure exerted on the plasma due to the light beams.

Thrust applied on plasma is given as-

$F = \frac{2 IA}{c}$

Here, I is the intensity of radiation, A is the cross-sectional area and c is the speed of light in vacuum.

Step 3: Calculations of the pressure exerted on the plasma

The force acting on the plasma, due to radiation, is-

$F = \frac{2 I A}{c}$

The radiation pressure P_ris given as-

$\begin{matrix} p_{r} = \frac{F}{A} \\ = \frac{2 I A}{c A} \\ = \frac{2 I}{c} \end{matrix}$

The intensity is $I = \frac{P}{A}$

P is power; A is the total area intercepted by the radiation.

$\begin{matrix} p_{r} = \frac{2 P}{A c} \\ = \frac{2 (1.5 \times 10^{9} W)}{(1 \times 10^{- 6} m^{2}) (3 \times 10^{8} m / s)} \\ = 1 \times 10^{7} P a \end{matrix}$

Pressure exerted on the plasma if the plasma reflects all the light beams directly back along their paths is $1 \times 10^{7} P a$

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Fundamentals Of Physics

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Short Answer

Step by Step Solution

Step 1: Listing the given quantities

Step 2: Understanding the concepts of radiation pressure formula

Step 3: Calculations of the pressure exerted on the plasma

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Fundamentals Of Physics

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Step by Step Solution

Step 1: Listing the given quantities

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Step 3: Calculations of the pressure exerted on the plasma

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