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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

Question: In Fig. 33-64, a light ray in air is incident on a flat layer of material 2 that has an index of refraction n2=1.5 . Beneath material 2is material 3 with an index of refraction n3.The ray is incident on the air鈥搈aterial 2 interface at the Brewster angle for that interface. The ray of light refracted into material 3happens to be incident on the material 2-material 3 interface at the Brewster angle for that interface. What is the value of n3 ?

In the arrangement of Fig. 33-15a, start with light that is initially polarized parallel to the x axis, and write the ratio of its final intensity I3to its initial intensity I0 asrole="math" localid="1662979786202" I3/I0=Acosn胃 . What are A, n, and 胃if we rotate the polarizing direction of the first sheet (a)60掳 counterclockwise and (b)90掳 clockwise from what is shown?

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Project Seafarer was an ambitious program to construct an enormous antenna, buried underground on a site about 10000km2in area. Its purpose was to transmit signals to submarines while they were deeply submerged. If the effective wavelength were1.0脳104Earth radii, what would be the (a) frequency and(b) period of the radiations emitted? Ordinarily, electromagnetic radiations do not penetrate very far into conductors such as seawater, and so normal signals cannot reach the submarines.

Start from Eq. 33-11 and 33-17 and show that E(x,t),and B(x,t),the electric and magnetic field components of a plane traveling electromagnetic wave, must satisfy the wave equations

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