Universe: Stars And Galaxies
Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 27, Problem 26Q
To determine

(a)

The speed of earth in its orbit.

Expert Solution
Check Mark

Answer to Problem 26Q

The speed of earth in its axis is 29.8km/s.

Explanation of Solution

Given:

The radius of Earth orbit is, r=1496×106km.

Formula Used:

The expression of speed of earth in its axis is given by,

v=(2πr)lengthofyear

Calculation:

The speed of earth in its axis is calculated as,

v=( 2πr)lengthofyear=2π×( 1496× 10 6 km)3.155815× 107s=29.8km/s

Conclusion:

The speed of earth in its axis is 29.8km/s.

To determine

(b)

The wavelength of transmission which Earth receives.

Expert Solution
Check Mark

Answer to Problem 26Q

The wavelength of transmission which Earth receives is 01m.

Explanation of Solution

Given:

The frequency is f=3000MHz.

Formula Used:

The expression of wavelength is given by,

λ=cf

Calculation:

The wavelength is calculated as,

λ=cf=3× 108m/s( 3000MHz× 1Hz 10 6 MHz )=3× 10830× 108m=01m

Conclusion:

The wavelength of transmission which Earth receives is 01m.

To determine

(c)

The shift in wavelength using Doppler Effect.

Expert Solution
Check Mark

Answer to Problem 26Q

The shift in wavelength is 9.9×106m and the percent shift in wavelength is 0.0099%.

Explanation of Solution

Formula Used:

The expression of shift in wavelength is given by,

Δλ=vc×λ0

The expression of percent shift in wavelength is given by,

%shiftinwavelength=Δλλ0×100%

Calculation:

The shift in wavelength is calculated as,

Δλ=vc×λ0=29.8km/s3× 108m/s×01m=29.8km/s( 10 3 m/s 1 km/s )3× 108m/s×01m=9.9×106m

The percent shift in wavelength is calculated as,

%shiftinwavelength=Δλλ0×100%=9.9× 10 6m0.1m×100%=0.0099%

Conclusion:

The shift in wavelength is 9.9×106m and the percent shift in wavelength is 0.0099%.

To determine

(d)

The importance that SETI radio receivers be able to measure frequency and wavelength to very high precision.

Expert Solution
Check Mark

Explanation of Solution

Introduction:

SETI pioneer Bernard Oliver was the first one who draws attention to a range of relatively noise-free frequency in the neighbor-hood of the microwave emission lines of hydrogen and hydroxide.

It is essential to track all the frequency and wavelength sent by civilization in another planetary system. So, there is a requirement of high precision technology to detect that frequency to communicate with them.

Conclusion:

Therefore, there is a requirement of a high precision radio receiver which able to measure frequency and wavelength.

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