   Chapter 33, Problem 2PE

Chapter
Section
Textbook Problem

Calculate the mass in of a virtual carrier particle that has a range limited to by the Heisenberg uncertainty principle. Such a particle might be involved in the unification of the strong and electroweak forces.

To determine

The mass of particle in GeV/c2 of virtual carrier particle that has a range limited to 1030m by Heisenberg uncertainty principle

Explanation

Given info:

Such a particle might be involved in the unification of the strong and electroweak forces.

Formula used:

Using the expression,

ΔEΔth4π

Here, Δt is uncertainty time, ΔE is uncertainty energy and h is Plank`s constant.

Expression can also wright,

ΔE=h4πΔt=h4π(d/c)

Calculation:

We have,

h=4.14×1024GeV.s, d=1×1030and c = 3×108m/s2

Substituting the given values, we get

ΔE=(4

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