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Take the ratio of relativistic rest energy, $E=\gamma m c^{2},$ to relativistic momentum, $p=\gamma m u,$ and show that in the limit that mass approaches zero, you find $E / p=c$

Therefore, the ratio $\left(\frac{E}{p}\right)$ is equals $c$ if mass approaches zero.

Physics 103

Chapter 29

Introduction to Quantum Physics

Quantum Physics

Rutgers, The State University of New Jersey

University of Washington

Hope College

University of Sheffield

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

02:59

Starting with the definiti…

02:02

Show that the energy-momen…

02:30

01:16

An extremely relativistic …

04:44

Relativity According to th…

04:03

Show that $p=h / \lambda$ …

01:17

Show analytically that a p…

03:07

01:24

Show that the kinetic ener…

02:41

Infer Gamma rays carry mom…

04:46

$\bullet$ Sketch a graph o…

03:45

As you have seen, relativi…

04:21

$\bullet$ Starting from Eq…

02:15

Show that the relativistic…

04:25

(a) If $m$ is a particle&#…

04:37

Compute the kinetic energy…

03:32

Show that the ratio of the…

09:55

A sigma baryon at rest dec…

06:37

A $\pi$ -meson at rest dec…

05:42

A particle with mass $m$ a…

So in this problem, we know that for the ah general objective, we have the expression for the rest energy, gamma time's and time's sea squid. And we have the momentum for this object. Uh, gamma time. Sam's time Sometimes you okay, Were you is the velocity of this object. And, ah, when the mass of this object approaches zero. So according to the special relativity Ah, we should know that. Ah, the velocity you is getting close to see where c is the speed we'll see the speed of light. So, uh, in that case, we can obtain that e overpay equal gamma m C squared divide by gamma. And you So this equals c squared over you. Right? And as we see, as we said here Ah, you is getting close to seat. So this Ah, eyes getting close to see as, uh, um gonna comes the zero. Okay, so we we have proved that the ratio e ver p eyes getting close to see as the mess approaches. Zero

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