Chapter 29, Problem 46PE

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

# Take the ratio of relativistic rest energy, E = γ m c 2 , to relativistic momentum, p = γ m u , and show that in the limit that mass approaches zero, you find E / p = c .

To determine

To show:

That in the limit that mass approaches zero E/p=c. Take the ratio of relativistic rest energy, Eγmc2 , to relativistic momentum, pγmu.

Explanation

Introduction:

Maxwell and others who studied EM waves predicted that they would carry momentum. photon momentum is suggested by the photoelectric effect, where photons knock electrons out of a substance.

Given info:

â€ƒâ€ƒEâ‰ˆÎ³mc2

â€ƒâ€ƒpâ‰ˆÎ³mu

Calculation:

Now energy and momentum ratio is determine

â€ƒâ€ƒEpâ‰ˆÎ³mc2Î³muEpâ‰ˆÂ c2u

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