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Chapter 28: Q11CQ (page 1028)

What happens to the relativistic Doppler effect when relative velocity is zero? Is this the expected result?

Short Answer

Expert verified

The observed velocity is equal to the emitted velocity when the relative velocity is zero.

Step by step solution

01

Define Special Relativity 

The special theory of relativity, sometimes known as special relativity, is a physical theory that describes how space and time interact. Theoretically, this is known as STR theory.

02

Explanation

When, the value\({\rm{v = 0}}\).

Then,the\({{\rm{f}}_{{\rm{obs}}}}{\rm{ = }}{{\rm{f}}_{{\rm{source}}}}\), and the relative velocity is zero, the observed velocity equals the emitted velocity, according to the Doppler effect.

Therefore,when the relative velocity is zero then it is observed that the velocity is equal to the emitted velocity.

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Most popular questions from this chapter

If you use an Earth-based telescope to project a laser beam onto the Moon, you can move the spot across the Moon's surface at a velocity greater than the speed of light. Does this violate modern relativity? (Note that light is being sent from the Earth to the Moon, not across the surface of the Moon.)

Relativistic effects such as time dilation and length contraction are present for cars and airplanes. Why do these effects seem strange to us?

Does motion affect the rate of a clock as measured by an observer moving with it? Does motion affect how an observer moving relative to a clock measures its rate?

The Sun produces energy at a rate of\(4.00{\rm{ }} \times {\rm{ }}{10^{26}}\,W\)by the fusion of hydrogen.

(a) How many kilograms of hydrogen undergo fusion each second?

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(c) How many kilograms of mass is the Sun losing per second?

(d) What draction of its mass will it have lost in the time found in part (b)?

(a) A nuclear power plant converts energy from nuclear fission into electricity with an efficiency of\(35.0\% \). How much mass is destroyed in one year to produce a continuous\(1000{\rm{ }}MW\)of electric power?

(b) Do you think it would be possible to observe this mass loss if the total mass of the fuel is\({10^4}{\rm{ }}kg\)?
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