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University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
BuyFindarrow_forward

University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
Textbook Problem

Plans for ail accelerator that produces a secondary beam of K mesons to scatter from nuclei, for the purpose of studying the strong force, call for them to have a kinetic energy of 500 MeV. (a) What would the relativistic quantity γ = 1 1 v 2 / c 2 be for these particles? (b) How long would their average lifetime be in the laboratory? (c) How far could they travel in this time?

To determine

(a)

Relativistic quantity of particles.

Explanation

Given:

  γ=1 1 v 2 c 2

KE = 500MeV

Formula used:

Relativistic quantity is calculated by

  γ=KE+mc2mc2

Calculation:

Mass energy equivalence gives the relation between mass and energy. It states that every mass has an energy equivalent.

  E=Δmc2

Here E is the energy of a physical system and c is the speed of light in vacuum.

The relativistic quantity is given by

  γ=1 1 v 2 c 2

Total energy is equal to relativistic quantity multiplied with the mass and speed of light's square.

  Etot=γmc2

Also,

  total energy=kinetic energy 

To determine

(b)

Its life time in laboratory.

To determine

(c)

The distance they travel in their lifetime..

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