Prelab 9

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    Lab 9: Pre lab

    1)

    Bessel function taken directly from opti 310 homework last year.

    Code attached

    First zero of Bessel function at approximately x = .! mm

    ")

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    3)#he reason we $et the ima$e shown when the knife is on midfocus has to do with the

    wa%elen$ths of the li$ht plus the $eometry of the li$ht &locked. #he knife ed$e is &lockin$ the

    li$ht &efore it hits the focus point' meanin$ that if the li$ht is &locked on the left' the ima$e on

    the ri$ht will &e dark. (owe%er' here we o&ser%e that the left outer shell is dark and the ri$htinner part is also dark. #he $eometry at the midfocus ends up &lockin$ the outer ri$ht shell' and

    lea%in$ the rest of that semicircle $o throu$h. #he left inner part is clipped &y the knife ed$e'&ut there is some li$ht that mana$es to make it throu$h at the outer shell. *ne will &e from one

    mirror and the other will &e from the other mirror.

    +),n the Foucault test' the shadowed section re%erses as the knife ed$e mo%es across the path

    lon$itudinally &ecause if the knife is &efore focus and &lockin$ the left' due to the $eometry of

    the li$ht path' the li$ht on the ima$e will &e &locked on the ri$ht' &ut as the knife mo%es and&locks the ri$ht side of the li$ht' the ima$e experiences a shadow to the left once a$ain due to

    $eometry. ,-ll draw a picture demonstratin$ the first one once this is printed.

    )

    )

    /chlieren photo$raphy is used for ima$in$ the flow of fluids. #he process works &y ha%in$ a acollimated source illuminate a tar$et or &ehind the tar$et). /ince air flow causes density

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    $radients' the refracti%e index is %aried' causin$ distortions on the collimated li$ht. #his allows

    for the flow to &e ima$ed usin$ shadow$raph.

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    /ome applications of /chlieren photo$raphy would &e the study of shockwa%es' studyin$ the

    chan$es of pressure due to heat in $as)' and detectin$ $as leaks.

    !)

    2n 2 %ariant &ein$ fired left) and a supersonic F1 ri$ht)

    2nd here-s an F1! &ecause 4arines5 that-s why6