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Chapter 33: Q102P (page 1009)

A square, perfectly reflecting surface is oriented in space to be perpendicular to the light rays from the Sun. The surface has anedge lengthof l=2.0鈥�mandislocatedr=3.0脳1011鈥尘fromthe Sun鈥檚 center. What is the radiation force on the surface from the light rays?

Short Answer

Expert verified

The radiation force on the surface of the square from the light rays isF=9.2鈥�渭N

Step by step solution

01

Listing the given quantities

l=2.0鈥�m

r=3.0脳1011鈥尘
02

Understanding the concepts of intensity 

First, we have to find the intensity by usingequation. Then, we can calculate the radiation force on the surface of the square by using the equation

Formula:

I=ps4蟺r2

03

Calculations of theradiation force on the surface of the square from the light rays 

I=Ps4蟺r2

where powerfor the sun from AppendixCis

Ps=3.90脳1026W

So,

I=3.90脳10264蟺脳(3.0脳1011)2=344.84W/m2

Now, if the radiationis totally reflected back along its original path, the force is given as

F=2IAc

WhereAis the area of the reflecting surface and it can be calculated as

A=(l)2=4m2

So,

F=2脳344.84脳43脳108=9.2脳10-6鈥�N=9.2鈥�渭N

Hence, the radiation force on the surface of the square from the light rays is9.2鈥�渭N

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Most popular questions from this chapter

Suppose we rotate the second sheet in Fig. 33-15a, starting with the polarization direction aligned with the y axis(胃=00)and ending with it aligned with the x-axis(胃=90掳). Which of the four curves in Fig. 33-26 best shows the intensity of the light through the three-sheet system during this90掳rotation?

Figure 33-74 shows a cylindrical resistor oflengthI,radius a, and resistivityr carrying current.i(a) Show that the Poyntingvector at the surface of the resistor is everywhere directed normal to the surface, as shown. (b) Show that the rate at which energy flows into the resistor through its cylindrical surface, calculated by integrating thePoynting vector over this surface, is equal to the rate at which thermal energy is produced: localid="1664201793898" 鈭�S鈫�鈰�dA鈫�=i2R wherelocalid="1664201800300" dA鈫� is an element of the area on the cylindrical surface and localid="1664201803478" R is the resistance.

A certain helium鈥搉eon laser emits red light in a narrow band of wavelengths centered at632.8nm and with a 鈥渨avelength width鈥� (such as on the scale of Fig. 33-1) of0.0100nm. What is the corresponding 鈥渇requency width鈥� for the emission?

In Fig. 33-65, a light ray enters a glass slab at point A at an incident angle 胃1=45.0掳and then undergoes total internal reflection at point B. (The reflection at A is not shown.) What minimum value for the index of refraction of the glass can be inferred from this information?

Figure 33-30 shows rays of monochromatic light propagating through three materials a, b, and c. Rank the materials according to the index of refraction, greatest first.
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