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Chapter 33: Q8P (page 1001)

Assume (unrealistically) that a TV station acts as a point source broadcasting isotopically at 1.0鈥�MW. What is the intensity of the transmitted signal reaching Proxima Centauri, the star nearest our solar system,4.3鈥�lyaway? (An alien civilization at that distance might be able to watchXFiles.) A light-year (ly) is the distance light travels in one year.

Short Answer

Expert verified

The intensity of the transmitted signal reaching Proxima Centauri, the star nearest our solar system 4.3鈥�ly is,4.8脳10-29W/m2 .

Step by step solution

01

Listing the given quantities

Source power

Ps=1.0鈥�MW=1.0脳106鈥�W

Distance of the star is, r=4.3鈥�ly

02

Step 2:Understanding the concepts of intensity

The source is emitting power isotopically. The received power intensity depends on the source power and the distance.

Formula:

I=Ps4蟺R2

03

Calculations of the intensity of the transmitted signal reaching Proxima Centauri, the star nearest our solar system,  4.3ly away

The distance is given in light years, by converting it in to meters:

1鈥�ly=9.46脳1015鈥�m

4.3鈥�ly=4.3脳9.46脳1015鈥�m=4.068脳1016鈥�m

Using the intensity formula:

I=Ps4蟺R2

Substitute all the value in the above equation.

I=1.0脳106W4蟺脳4.068脳1016m2=4.8脳10-29W/m2

The intensity of the transmitted signal reaching Proxima Centauri, the star nearest our solar system, 4.3lyaway 4.8脳10-29W/m2

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Most popular questions from this chapter

Light in a vacuum is incident on the surface of a glass slab. In the vacuum, the beam makes an angle of32.0掳with the normal to the surface, while in the glass it makes an angle of21.0掳with the normal. What is the index of refraction of the glass?

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