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Adding Wolfe Chapter 33, Particle Physics
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‎Contrib/Keele/College_Physics_Wolfe/33.Particle_Physics/33-01.Yukawa_Particle/NU_U17-33-01-001.pg‎

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## DESCRIPTION
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# originally written by Caroline Promnitz and Sara Hesse, Brock University, 2018
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# cleaned up, added solution and re-written to use NumberWithUnits
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## ENDDESCRIPTION
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## DBsubject(Particle)
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## DBchapter(Particle Physics)
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## DBsection(Yukawa Particle)
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## Date(December 2021)
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## Institution(Keele University)
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## Author(Boyd Duffee)
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## TitleText1('College Physics')
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## AuthorText1('Wolfe et. al')
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## EditionText1('2015')
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## Section1('33.1')
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## Problem1('1')
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## MO(1)
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## KEYWORDS('mass','force','particle','Heisenburg','uncertainty')
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DOCUMENT();
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loadMacros(
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'PGstandard.pl',
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'parserNumberWithUnits.pl',
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);
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TEXT(beginproblem());
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Context()->flags->set(tolerance => 0.005, zeroLevel => 1E-40, zeroLevelTol => 1E-42);
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$showPartialCorrectAnswers = 1;
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$h = Real( 4.14E-24); # GeV/Hz
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$E = Real( random(1, 20, 1)*1E14 ); # GeV/c^2
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$time = NumberWithUnits( $h/(4*$PI * $E), 's');
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ANS( $time->cmp );
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Context()->texStrings;
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BEGIN_TEXT
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A virtual particle having an approximate mass of \($E \ \rm GeV/c^2\)
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may be associated with the unification of the strong and electroweak forces.
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For what length of time could this virtual particle exist
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(in temporary violation of the conservation of mass-energy as allowed by
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the Heisenberg uncertainty principle)?
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$PAR
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\( t = \) \{ans_rule(15)\}
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END_TEXT
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BEGIN_HINT
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Recall the mass-energy equivalence.
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END_HINT
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BEGIN_SOLUTION
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$PAR $BBOLD SOLUTION $EBOLD $PAR
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\( \displaystyle \Delta t = \frac{h}{4 \pi \Delta E}
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= \frac{$h \ \rm GeV/Hz}{4 \pi \ ($E \ \rm GeV/c^2)}
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= $time
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\)
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END_SOLUTION
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COMMENT('Uses NumberWithUnits');
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ENDDOCUMENT();

‎Contrib/Keele/College_Physics_Wolfe/33.Particle_Physics/33-01.Yukawa_Particle/NU_U17-33-01-002.pg‎

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## DESCRIPTION
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# originally written by Caroline Promnitz and Sara Hesse, Brock University, 2018
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# cleaned up, added solution and re-written to use NumberWithUnits
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## ENDDESCRIPTION
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## DBsubject(Particle)
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## DBchapter(Particle Physics)
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## DBsection(Yukawa Particle)
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## Date(December 2021)
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## Institution(Keele University)
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## Author(Boyd Duffee)
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## TitleText1('College Physics')
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## AuthorText1('Wolfe et. al')
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## EditionText1('2015')
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## Section1('33.1')
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## Problem1('2')
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## MO(1)
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## KEYWORDS('particle','Heisenburg','uncertainty','mass')
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DOCUMENT();
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loadMacros(
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'PGstandard.pl',
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'parserNumberWithUnits.pl',
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);
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TEXT(beginproblem());
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Context()->flags->set(tolerance => 0.005, zeroLevel => 1E-32, zeroLevelTol => 1E-34);
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$showPartialCorrectAnswers = 1;
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$c = NumberWithUnits( 2.998E8, 'm*s^-1');
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$h = Real( 4.14E-24); # GeV/Hz
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$d = NumberWithUnits( random(1, 200, 1)*1E-31, 'm');
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$mass = Real( $h * $c->value / (4*$PI * $d->value) );
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ANS( $mass->cmp );
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Context()->texStrings;
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BEGIN_TEXT
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Calculate the mass in \(\rm GeV/c^2\) of a virtual carrier particle that has a range
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limited to \($d\) by the Heisenberg uncertainty principle.
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Such a particle might be involved in the unification of the strong and electroweak forces.
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$PAR
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\( m = \) \{ans_rule(20)\} \(\rm GeV/c^2\)
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END_TEXT
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BEGIN_HINT
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In what way is time related to speed
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END_HINT
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BEGIN_SOLUTION
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$PAR $BBOLD SOLUTION $EBOLD $PAR
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\( \displaystyle m = \frac{h c}{4 \pi d}
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= \rm \frac{($h \ GeV/Hz)($c)}{4 \pi \ ($d)}
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= $mass \ GeV/c^2
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\)
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END_SOLUTION
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ENDDOCUMENT();

‎Contrib/Keele/College_Physics_Wolfe/33.Particle_Physics/33-01.Yukawa_Particle/NU_U17-33-01-003.pg‎

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## DESCRIPTION
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# originally written by Caroline Promnitz, Brock University, 2018
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# cleaned up, added solution and re-written to use NumberWithUnits
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## ENDDESCRIPTION
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## DBsubject(Particle)
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## DBchapter(Particle Physics)
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## DBsection(Yukawa Particle)
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## Date(December 2021)
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## Institution(Keele University)
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## Author(Boyd Duffee)
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## TitleText1('College Physics')
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## AuthorText1('Wolfe et. al')
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## EditionText1('2015')
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## Section1('33.1')
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## Problem1('3')
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## MO(1)
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## KEYWORDS('nuclear','mesons','mass')
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DOCUMENT();
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loadMacros(
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'PGstandard.pl',
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'parserNumberWithUnits.pl',
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);
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TEXT(beginproblem());
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Context()->flags->set(tolerance => 0.005, zeroLevel => 1E-30, zeroLevelTol => 1E-32);
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$showPartialCorrectAnswers = 1;
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$c = NumberWithUnits( 2.998E8, 'm*s^-1');
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$h = Real( 4.14E-24); # GeV/Hz
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$mass = random(421, 500, 1); # MeV/c^2
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$d = Real( $h * $c/(4*$PI * $mass/1000) *1E15); # fm
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ANS( $d->cmp );
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Context()->texStrings;
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BEGIN_TEXT
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Another component of the strong nuclear force is transmitted by the exchange of
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virtual K-mesons. Taking K-mesons to have an average mass of \($mass \ \rm MeV/c^2\),
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what is the approximate range of this component of the strong force?
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$PAR
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\( d = \) \{ans_rule(20)\} \(\textrm{fm}\)
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END_TEXT
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BEGIN_HINT
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Make appropriate unit conversions.
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END_HINT
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BEGIN_SOLUTION
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$PAR $BBOLD SOLUTION $EBOLD $PAR
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\( \displaystyle d = \frac{h c}{4 \pi m}
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= \rm \frac{($h \ GeV/Hz)($c)}{4 \pi \ ($mass \ Mev/c^2)}
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= $d \ fm
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\)
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END_SOLUTION
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ENDDOCUMENT();

‎Contrib/Keele/College_Physics_Wolfe/33.Particle_Physics/33-02.Four_Basic_Forces/NU_U17-33-02-001.pg‎

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## DESCRIPTION
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# originally written by Caroline Promnitz, Brock University, 2018
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# cleaned up, added solution and re-written to use NumberWithUnits
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## ENDDESCRIPTION
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## DBsubject(Particle)
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## DBchapter(Particle Physics)
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## DBsection(Four Basic Forces)
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## Date(December 2021)
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## Institution(Keele University)
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## Author(Boyd Duffee)
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## TitleText1('College Physics')
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## AuthorText1('Wolfe et. al')
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## EditionText1('2015')
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## Section1('33.2')
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## Problem1('4')
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## MO(1)
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## Static(1)
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## KEYWORDS('electromagnetic','nuclear','force')
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DOCUMENT();
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loadMacros(
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'PGstandard.pl',
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'parserNumberWithUnits.pl',
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);
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TEXT(beginproblem());
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Context()->flags->set( tolerance => 0.005 );
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$showPartialCorrectAnswers = 1;
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$ratio = Real( 1E-11 );
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ANS( $ratio->cmp );
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Context()->texStrings;
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BEGIN_TEXT
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Find the ratio of the strengths of the weak and electromagnetic forces under
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ordinary circumstances.
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$PAR
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\{ans_rule(20)\}
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END_TEXT
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BEGIN_HINT
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Use OpenStax College Physics to find the values required to solve this problem.
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END_HINT
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BEGIN_SOLUTION
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$PAR $BBOLD SOLUTION $EBOLD $PAR
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Using the values in Table 33.1 of OpenStax College Physics (Wolfe 2015),
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$PAR
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ratio \( \displaystyle = \frac{10^{-13}}{10^{-2}} = $ratio \)
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END_SOLUTION
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ENDDOCUMENT();

‎Contrib/Keele/College_Physics_Wolfe/33.Particle_Physics/33-02.Four_Basic_Forces/NU_U17-33-02-002.pg‎

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## DESCRIPTION
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# originally written by Caroline Promnitz, Brock University, 2018
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# cleaned up, added solution and re-written to use NumberWithUnits
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## ENDDESCRIPTION
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## DBsubject(Particle)
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## DBchapter(Particle Physics)
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## DBsection(Four Basic Forces)
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## Date(December 2021)
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## Institution(Keele University)
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## Author(Boyd Duffee)
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## TitleText1('College Physics')
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## AuthorText1('Wolfe et. al')
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## EditionText1('2015')
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## Section1('33.2')
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## Problem1('5')
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## MO(1)
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## Static(1)
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## KEYWORDS('nuclear','electromagnetic','weak','strong','force')
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DOCUMENT();
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loadMacros(
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'PGstandard.pl',
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'parserNumberWithUnits.pl',
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);
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TEXT(beginproblem());
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Context()->flags->set(tolerance => 0.005, zeroLevel => 1E-20, zeroLevelTol => 1E-22);
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$showPartialCorrectAnswers = 1;
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$em = Real( 1E-2 );
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$w = Real( 1E-13 );
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$SE = 1/$em;
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$SW = 1/$w;
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ANS( $SW->cmp );
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ANS( $SE->cmp );
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Context()->texStrings;
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BEGIN_TEXT
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The ratio of the strong to the weak force and the ratio of the strong force to the
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electromagnetic force become \(1\) under circumstances where they are unified. What
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are the ratios of the strong force to those two forces under normal circumstances?
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$PAR
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\(\textrm{Weak force}\) = \{ans_rule(40)\} \(\textrm{to 1}\)
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$PAR
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\(\textrm{Electromagnetic force}\) = \{ans_rule(40)\} \(\textrm{to 1}\)
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END_TEXT
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BEGIN_HINT
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Consider the relative strengths of the forces in question.
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END_HINT
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BEGIN_SOLUTION
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$PAR $BBOLD SOLUTION $EBOLD $PAR
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From the values in Table 33.1 of OpenStax College Physics,
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$PAR
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\(\textrm{Weak force} = \frac{1}{$w} = $SW \textrm{ to 1}\)
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$PAR
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\(\textrm{Electromagnetic force} = \frac{1}{$em} = $SE \textrm{ to 1}\)
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END_SOLUTION
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ENDDOCUMENT();

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