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!"#$%&%$&(%)&*+%*#($*,(-./&%0-*+#($1%&()**(+,,-./+0"                   2&).34!"                   2&).34$"                ...
5#($*,(-./6&$&(%37%6"&%0-*+#($%&%       !"        $"       %"      89<<%     89:;%    89:;%      89<<%     89:;%    89;8% ...
5#($*,(-./6&$&(%37%6"&%0-*+#($%&%                                                    =%0-%"&(*+&%?%>%0-%"&(*+&%           ...
!"        $"     %"894:;%    89:;8% 898;8%89<C;%    89:;8% 89D;8%89<C;%    89:;8% 89D;8%894:;%    89:;8% 898;8%         #%...
!"       $"     %"894:;%   89:;8% 89488%                                           @%?%@%?%@%A%E%                         ...
89G%                 89;%                 89D%1234153,67&84"                 89<%                 89:%                 894...
89D%                 89<;%                  89<%                 89:;%1234153,67&84"                  89:%                ...
898I%                 898H%                 898C%                 898G%1234153,67&84"                 898;%               ...
1.2                                           0 1                                              -0.50.8                    ...
!"#$%*2&%$&%(J%"7-K)&(%37$7L-&*%MN%27(*+#(+O1%%38.3 ps                         !%11.7 ps             tid sammen     L-."&%...
!"#$%*2&%$&%(J%"7-K)&(%37$7L-&*%MN%27(*+#(+O1%%38.3 ps                         !%                             32.7 ps11.7 ...
5+S&%"7-K)&(%L&+,$&%Y&&%)K-./6&$&%37%#+%"U&%#$*2.-$+%                    Z$#+(.(/&(%#3%$&(%#$*2.-$+&%0-*+#($%L-."&%*+S&%  ...
!"#$%*2&%$&%(J%N%37$7L-&*%MX%27(*+#(+O1%%                                                                   "%38.3 ps     ...
!"#$%*2&%$&%(J%N%37$7L-&*%MX%27(*+#(+O1%%                                                                   "%38.3 ps     ...
!S&&%+&)P&#+K%L&+,$&%*+S&%*#($*,(-./6&$%37%                                #+%6#"&%6S&&%&(&/.%%                           ...
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Peer instructions questions on entropy

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Peer instructions questions on entropy

  1. 1. !"#$%&%$&(%)&*+%*#($*,(-./&%0-*+#($1%&()**(+,,-./+0" 2&).34!" 2&).34$" 2&).34%" 2&).34#%%%%%%%%%%%%%%%%%%%%%%%%%%%%"&$%.22&"
  2. 2. 5#($*,(-./6&$&(%37%6"&%0-*+#($%&% !" $" %" 89<<% 89:;% 89:;% 89<<% 89:;% 89;8% 89<<% 89:;% 89:;% #%%"&$%.22&"
  3. 3. 5#($*,(-./6&$&(%37%6"&%0-*+#($%&% =%0-%"&(*+&%?%>%0-%"&(*+&% @%?%@%A%B% !" $" %" =% 89<<% 89:;% 89:;% >% >% =% 89<<% 89:;% =% >% 89;8% @%?%@%A%B% @%?%@%A%B% 89<<% 89:;% 89:;% @%?%@%A%B%
  4. 4. !" $" %"894:;% 89:;8% 898;8%89<C;% 89:;8% 89D;8%89<C;% 89:;8% 89D;8%894:;% 89:;8% 898;8% #%%"&$%.22&"
  5. 5. !" $" %"894:;% 89:;8% 89488% @%?%@%?%@%A%E% =% =% >% >% F% F% >% F% =%89<C;% 89:;8% 89D88% E% E% E%89<C;% 89:;8% 89D88% <%?%E%894:;% 89:;8% 89488% @%?%@%?%@%A%E%
  6. 6. 89G% 89;% 89D%1234153,67&84" 89<% 89:% 894% 8% 8% 4% :% !392,"(2:;<,8:"6"&=>:8"1648"
  7. 7. 89D% 89<;% 89<% 89:;%1234153,67&84" 89:% 894;% 894% 898;% 8% 8% 4% :% <% 2392,"(2:;<,8:"6"&=>:8"1648"
  8. 8. 898I% 898H% 898C% 898G%1234153,67&84" 898;% 898D% 898<% 898:% 8984% 8% 8% ;% 48% 4;% :8% :;% <8% <;% D8% D;% ;8% ;;% G8% G;% C8% C;% H8% H;% I8% I;% 488% 2392,"(2:;<,8:"6"&=>:8"1648"
  9. 9. 1.2 0 1 -0.50.8 -1 f(x)0.6 ln[f(x)] -1.50.4 -20.2 0 -2.5 0 0.5 1 1.5 2 2.5 3 3.5
  10. 10. !"#$%*2&%$&%(J%"7-K)&(%37$7L-&*%MN%27(*+#(+O1%%38.3 ps !%11.7 ps tid sammen L-."&%).($&%37$.%$&+%&%).($&%*#($*,(-./+% !" #+%P#02-&(&%Q($&%6.(#($&(%R%&+%*+S&%"7-K)&(% tid adskildt tid sammen L-."&%*+S&%37$.%$&+%&%)&&%*#($*,(-./+% $" #+%P#02-&(&%Q($&%6.(#($&(%.%&+%*+S&%"7-K)&(% tid adskildt tid sammen T7L-."&%KU($&+%37$.%0-+U2(.(/*2UV&(%)&--&)% %" P#02-&(&%&%K#WU(/./%#3%"7-K)&(% tid adskildt #" X&$%.22&%
  11. 11. !"#$%*2&%$&%(J%"7-K)&(%37$7L-&*%MN%27(*+#(+O1%%38.3 ps !% 32.7 ps11.7 ps 17.3 ps tid sammen L-."&%).($&%37$.%$&+%&%).($&%*#($*,(-./+% !" #+%P#02-&(&%Q($&%6.(#($&(%R%&+%*+S&%"7-K)&(% tid adskildt tid sammen L-."&%*+S&%37$.%$&+%&%)&&%*#($*,(-./+% $" #+%P#02-&(&%Q($&%6.(#($&(%.%&+%*+S&%"7-K)&(% tid adskildt tid sammen T7L-."&%KU($&+%37$.%0-+U2(.(/*2UV&(%)&--&)% %" P#02-&(&%&%K#WU(/./%#3%"7-K)&(% tid adskildt #" X&$%.22&%
  12. 12. 5+S&%"7-K)&(%L&+,$&%Y&&%)K-./6&$&%37%#+%"U&%#$*2.-$+% Z$#+(.(/&(%#3%$&(%#$*2.-$+&%0-*+#($%L-."&%*+S&% 38.3 ps !% 32.7 ps 11.7 ps 17.3 ps psammen tid sammen = padskilt tid adskildt 3e! " / kTpadskildt = q !" !" 5e! " / kT !% padskildt = 1 q psammen = q
  13. 13. !"#$%*2&%$&%(J%N%37$7L-&*%MX%27(*+#(+O1%% "%38.3 ps !%11.7 ps tid sammen L-."&%).($&%37$.%$&%&%)&&%2.(&0*2%&(&/.%0-%#+% !" L,$&%L.($.(/&(%)&--&)%P#02-&(&% tid adskildt tid sammen L-."&%*+S&%37$.%P#02-&(&%L&"U/&%*./%6K0/&&% $" 7/%6#%-&[&&%"&$%#+%Q($&%6.($#($&(% tid adskildt tid sammen T7L-."&%KU($&+%37$.%0-+U2(.(/*2UV&(%)&--&)% %" P#02-&(&%&%K#WU(/./%#3%+&)P&#+K% tid adskildt #" X&$%.22&%
  14. 14. !"#$%*2&%$&%(J%N%37$7L-&*%MX%27(*+#(+O1%% "%38.3 ps !% 19.2 ps11.7 ps 30.8 ps tid sammen L-."&%).($&%37$.%$&%&%)&&%2.(&0*2%&(&/.%0-%#+% !" L,$&%L.($.(/&(%)&--&)%P#02-&(&% tid adskildt tid sammen L-."&%*+S&%37$.%P#02-&(&%L&"U/&%*./%6K0/&&% $" 7/%6#%-&[&&%"&$%#+%Q($&%6.($#($&(% tid adskildt tid sammen T7L-."&%KU($&+%37$.%0-+U2(.(/*2UV&(%)&--&)% %" P#02-&(&%&%K#WU(/./%#3%+&)P&#+K% tid adskildt #" X&$%.22&%
  15. 15. !S&&%+&)P&#+K%L&+,$&%*+S&%*#($*,(-./6&$%37% #+%6#"&%6S&&%&(&/.%% "% 38.3 ps !% 19.2 ps 11.7 ps 30.8 ps psammen tid sammen = padskilt tid adskildt #%)$*+,)-" 3e! " / kTpadskildt = q !" #$%&&(" 1 psammen = q

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