Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

A black, totally absorbing piece of cardboard of area $A = 2.0 {cm}^{2}$ intercepts light with an intensity of $110 {W/m}^{2}$ from a camera strobe light. What radiation pressure is produced on the cardboard by the light?

The radiation pressure is, $P_{r} = 3.3 \times 10^{- 8} P a$ _.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given data

Area of cardboard, $A = 2 {cm}^{2}$ .

Intensity, I = 10 W/m².

Step 2: 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 the area of the surface, calculate the radiation pressure of the light bulb. When electromagnetic radiation of intensity $I$ is incident on a perfectly reflective surface, the radiation pressure $P$ exerted on the surface is given by, , where $c$ is the speed of light.

Step 3: Determining the radiation pressure produced on the cardboard by the light

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

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

Here I is the intensity of radiation, and $A$ is the area of the surface perpendicular to the path of the radiation.

The intensity $I$ is related to the power of the bulb P as,

$I = \frac{P}{A}$

Where, A is the area of the cardboard.

The radiation pressure P_r is the force per unit area, and it can be calculated as,

$p_{r} = \frac{I A}{A C} p_{r} = \frac{I}{C}$

Substitute the values in the expression, and we get,

$P_{r} = \frac{10 w}{3 \times 10^{8} m / s} = 3.3 \times 10^{- 8} P a$

Therefore, the radiation pressure $p_{r}$ is $3.3 \times 10^{- 8} Pa$ .

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Fundamentals Of Physics

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Short Answer

A black, totally absorbing piece of cardboard of area $A = 2.0 {cm}^{2}$ intercepts light with an intensity of $110 {W/m}^{2}$ from a camera strobe light. What radiation pressure is produced on the cardboard by the light?

Step by Step Solution

Step 1: Given data

Step 2: Determining the concept

Step 3: Determining the radiation pressure produced on the cardboard by the light

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Short Answer

A black, totally absorbing piece of cardboard of area A = 2.0 cm2 intercepts light with an intensity of 110 W/m2 from a camera strobe light. What radiation pressure is produced on the cardboard by the light?

Step by Step Solution

Step 1: Given data

Step 2: Determining the concept

Step 3: Determining the radiation pressure produced on the cardboard by the light

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A black, totally absorbing piece of cardboard of area $A = 2.0 {cm}^{2}$ intercepts light with an intensity of $110 {W/m}^{2}$ from a camera strobe light. What radiation pressure is produced on the cardboard by the light?