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Adding Wolfe Chapter 25, Geometric Optics
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‎Contrib/Keele/College_Physics_Wolfe/25.Geometric_Optics/25-01.The_Ray_Aspect_of_Light/NU_U17-25-01-001/NU_U17-25-01-001.pg‎

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## DESCRIPTION
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# originally written by Brandon Lostracco and Connor Wilson, 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(Optics)
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## DBchapter(Optics)
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## DBsection(The Ray Aspect of Light)
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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('25.1')
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## Problem1('1')
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## MO(1)
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## RESOURCES('NU_U17-25-01-001.png')
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## KEYWORDS('geometric','light','mirror','optics','ray','reflection')
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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("Numeric")->flags->set( tolerance => 0.005 );
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$showPartialCorrectAnswers = 1;
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$showHint = 3;
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$distance_eyes = NumberWithUnits( random(1.4, 1.9, 0.01), 'm');
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$distance_head = NumberWithUnits( random(0.15, 0.2, 0.01), 'm');
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$mirror_bottom = $distance_eyes / Real(2);
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$mirror_top = $distance_head / Real(2) + $distance_eyes;
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ANS( $mirror_bottom->cmp );
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ANS( $mirror_top->cmp );
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Context()->texStrings;
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BEGIN_TEXT
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\{ image( "NU_U17-25-01-001.png", width=>346, height=>549,
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tex_size=>700, extra_html_tags=>'alt="Plane mirror - Ray diagram"' ) \}
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$PAR
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Suppose a man stands in front of a mirror as shown above.
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His eyes are \($distance_eyes\) above the floor,
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and the top of his head is \($distance_head\) higher.
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Find the height above the floor of the top and bottom of the smallest mirror
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in which he can see both the top of his head and his feet.
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How is this distance related to the man's height?
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$PAR
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The bottom of the mirror is \{ans_rule(10)\} above the floor.
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$PAR
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The top of the mirror is \{ans_rule(10)\} above the floor.
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END_TEXT
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BEGIN_HINT
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Recall the law of reflection.
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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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\( \displaystyle h_{bottom} = \frac{h_{eyes}}{2}
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= \frac{$distance_eyes}{2}
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= $mirror_bottom
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\)
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$PAR
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\( \displaystyle h_{top} = h_{eyes} + \frac{h_{head}}{2}
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= $distance_eyes + \frac{$distance_head}{2}
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= $mirror_top
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\)
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END_SOLUTION
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COMMENT('Uses NumberWithUnits');
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ENDDOCUMENT();

‎Contrib/Keele/College_Physics_Wolfe/25.Geometric_Optics/25-01.The_Ray_Aspect_of_Light/NU_U17-25-01-001/NU_U17-25-01-001.png‎

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‎Contrib/Keele/College_Physics_Wolfe/25.Geometric_Optics/25-03.The_Law_of_Refraction/NU_U17-25-03-001.pg‎

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## DESCRIPTION
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# originally written by Brandon Lostracco and Connor Wilson, 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(Optics)
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## DBchapter(Optics)
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## DBsection(The Law of Refraction)
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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('25.3')
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## Problem1('5')
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## MO(1)
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## KEYWORDS('geometric','light','optics','ray','refraction')
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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("Numeric")->flags->set( tolerance => 0.005 );
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$showPartialCorrectAnswers = 1;
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$showHint = 3;
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$c = NumberWithUnits( 2.998E8, 'm*s^-1');
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$n_water = 1.333;
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($name, $n_liquid) = @{list_random(
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[glycerine => 1.473],
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[benzene => 1.501],
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['carbon tetrachloride' => 1.461],
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)};
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$speed_water = $c / Real($n_water);
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$speed_liquid = $c / Real($n_liquid);
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ANS( $speed_water->cmp );
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ANS( $speed_liquid->cmp );
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Context()->texStrings;
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BEGIN_TEXT
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What is the speed of light in water? In $name?
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The indices of refraction for water is \($n_water\) and for $name is \($n_liquid\).
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$PAR
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\( v_{water} = \) \{ans_rule(15)\}
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$PAR
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\( v_{$name} = \) \{ans_rule(15)\}
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END_TEXT
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BEGIN_HINT
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Can you rearrange the definition of the index of refraction to solve for the speed of light in each medium?
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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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\( \displaystyle v_{water} = \frac{c}{n} = \frac{$c}{$n_water} = $speed_water \)
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$PAR
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\( \displaystyle v_{$name} = \frac{c}{n} = \frac{$c}{$n_liquid} = $speed_liquid \)
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END_SOLUTION
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COMMENT('Uses NumberWithUnits');
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ENDDOCUMENT();

‎Contrib/Keele/College_Physics_Wolfe/25.Geometric_Optics/25-03.The_Law_of_Refraction/NU_U17-25-03-002.pg‎

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## DESCRIPTION
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# originally written by Brandon Lostracco and Connor Wilson, 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(Optics)
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## DBchapter(Optics)
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## DBsection(The Law of Refraction)
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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('25.3')
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## Problem1('6')
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## MO(1)
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## KEYWORDS('geometric','light','optics','ray','refraction')
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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("Numeric")->flags->set( tolerance => 0.005 );
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$showPartialCorrectAnswers = 1;
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$showHint = 3;
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$c = NumberWithUnits( 2.998E8, 'm*s^-1');
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($name_gas, $n_gas) = @{list_random(
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[air => 1.000293],
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['carbon dioxide' => 1.00045],
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[hydrogen => 1.000139],
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[oxygen => 1.000271],
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)};
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($name_solid, $n_solid) = @{list_random(
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[diamond => 2.491],
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[fluorite => 1.434],
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['crown glass' => 1.52],
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['flint glass' => 1.66],
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[plexiglas => 1.51],
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['crystalline quartz' => 1.544],
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['fused quartz' => 1.458],
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['sodium chloride' => 1.544],
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[zircon => 1.923],
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)};
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$speed_gas = $c / Real($n_gas);
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$speed_solid = $c / Real($n_solid);
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ANS( $speed_gas->cmp(tolerance => 0.0001) );
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ANS( $speed_solid->cmp );
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Context()->texStrings;
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BEGIN_TEXT
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What is the speed of light in $name_gas? In $name_solid?
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The indices of refraction for $name_gas is \($n_gas\) and for $name_solid is \($n_solid\).
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$PAR
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\( v_{\textrm{$name_gas}} = \) \{ans_rule(15)\}
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$PAR
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\( v_{\textrm{$name_solid}} = \) \{ans_rule(15)\}
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END_TEXT
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BEGIN_HINT
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Can you rearrange the definition of the index of refraction to solve for the speed of light in each medium?
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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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\( \displaystyle v_{\textrm{$name_gas}} = \frac{c}{n} = \frac{$c}{$n_gas} = $speed_gas \)
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$PAR
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\( \displaystyle v_{\textrm{$name_solid}} = \frac{c}{n} = \frac{$c}{$n_solid} = $speed_solid \)
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END_SOLUTION
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COMMENT('Uses NumberWithUnits');
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ENDDOCUMENT();

‎Contrib/Keele/College_Physics_Wolfe/25.Geometric_Optics/25-03.The_Law_of_Refraction/NU_U17-25-03-003.pg‎

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## DESCRIPTION
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# originally written by Brandon Lostracco and Connor Wilson, 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(Optics)
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## DBchapter(Optics)
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## DBsection(The Law of Refraction)
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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('25.3')
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## Problem1('7')
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## MO(1)
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## KEYWORDS('geometric','light','optics','ray','refraction')
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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("Numeric")->flags->set( tolerance => 0.001 );
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$showPartialCorrectAnswers = 1;
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$showHint = 3;
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$c = NumberWithUnits( 2.998E8, 'm*s^-1');
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$v = NumberWithUnits( random(2.2, 2.3, 0.001)*1E8, 'm*s^-1');
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$n = Real( $c->value / $v->value );
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ANS( $n->cmp );
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Context()->texStrings;
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BEGIN_TEXT
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Calculate the index of refraction for a medium
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in which the speed of light is \($v\).
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$PAR
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\( n = \) \{ans_rule(15)\}
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END_TEXT
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BEGIN_HINT
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Recall the definition of the index of refraction.
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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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\( \displaystyle n = \frac{c}{v} = \frac{$c}{$v} = $n \)
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END_SOLUTION
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ENDDOCUMENT();

‎Contrib/Keele/College_Physics_Wolfe/25.Geometric_Optics/25-03.The_Law_of_Refraction/NU_U17-25-03-004.pg‎

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## DESCRIPTION
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# originally written by Brandon Lostracco and Connor Wilson, 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(Optics)
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## DBchapter(Optics)
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## DBsection(The Law of Refraction)
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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('25.3')
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## Problem1('8')
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## MO(1)
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## KEYWORDS('geometric','light','optics','ray','refraction')
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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("Numeric")->flags->set( tolerance => 0.005 );
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$showPartialCorrectAnswers = 1;
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$showHint = 3;
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$c = NumberWithUnits( 2.998E8, 'm*s^-1');
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$v = NumberWithUnits( random(1.4, 1.5, 0.001)*1E8, 'm*s^-1');
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$n = Real( $c->value / $v->value );
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ANS( $n->cmp );
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Context()->texStrings;
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BEGIN_TEXT
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Calculate the index of refraction for a medium
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in which the speed of light is \($v\).
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$PAR
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\( n = \) \{ans_rule(15)\}
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END_TEXT
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BEGIN_HINT
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Recall the definition of the index of refraction.
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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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\( \displaystyle n = \frac{c}{v} = \frac{$c}{$v} = $n \)
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END_SOLUTION
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ENDDOCUMENT();

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