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Someone proposes the existence of a new force whose range is10-20 m. We found in Chapter 2 that accelerator turn kinetic energy into mass. About how much energy do you estimate an accelerator would need to create the mediating particle for such a force.

Short Answer

Expert verified

We need 20鈥涂别痴 kinetic energy to produce this particle.

Step by step solution

01

Given data

The range of the force is1020鈥尘 .

02

 Step 2: Concept of the Uncertainty principle

Uncertainty principle:

Et

of the event does not exceed/E.

Let鈥檚 assume that a meson particle travels between nucleons at a speed of the temporary energy discrepancy of Emc2 and that is:

Et 鈥︹赌(1)

And the time needed for the particle to travel is t=x/c.

An event in which an amount of energyE is not conserved is not prohibited as long as the duration

03

Calculation for the kinetic energy

The energy of the particle is given as,

Ecx

Substitute 1.0551034Js for, and3108m/s for c and 1020m for x in the above equation as:

E(1.0551034鈥塉s1020鈥尘)(3108鈥尘/s)E=3.165106J(1.0鈥塭痴1.61019鈥塉)E=1.971013(1鈥涂别痴1012鈥塭痴)E=20鈥涂别痴

Therefore, we need 20鈥涂别痴 kinetic energy to produce this particle.

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