Muenzaniso wemibvunzo yekukurukurirana yeWien Shift
Pendauluan
Kuchinja kweWien ipfungwa inokosha mufizikisi, kunyanya mukudzidza kwemwaranzi yemuviri mutema. Inotaura kuti kureba kwewavelength pakubuda kwemwaranzi kubva mumuviri mutema kunochinja kuenda kuhurefu hwewavelengths hupfupi sezvo tembiricha yechinhu ichi ichikwira. Wien shift equation yakagadzirwa seizvi:
\[ \lambda_{max} = \frac{b}{T} \]
di mana:
– \( \lambda_{max} \) ndiyo wavelength iri pa emission peak (mumamita),
– \( T \) ndiyo tembiricha yakakwana yemuviri mutema (muKelvin),
– uye \( b \) ndiyo Wien shift constant ine kukosha kweinenge \( 2.897 \times 10^{-3} \) mK.
Kuti tinzwisise zviri nani pfungwa iyi, ngatikurukurei mimwe mienzaniso yekuchinja kweWien zvakadzama.
Muenzaniso Mubvunzo 1: Kuziva Maximum Wavelength
Mubvunzo: Chinhu chinopisa chinoburitsa mwaranzi yakaita semuviri mutema une tembiricha ye5000 K. Tsvaga urefu hwemafungu emvura pakakwirira pemwaranzi yacho!
Kukurukurirana:
Zvinozivikanwa:
– Tembiricha yemuviri, \( T = 5000 \) K
Kushandisa Wien shift equation:
\[ \lambda_{max} = \frac{b}{T} \]
Tsiva tembiricha uye Wien's displacement constant:
\[ \lambda_{max} = \frac{2.897 \times 10^{-3} \text{ mK}}{5000 \text{ K}} \]
Verenga kukosha:
\[ \lambda_{max} = 5.794 \kawa 10^{-7} \text{m} = 579.4 \text{nm} \]
Saka, kureba kwemwaranzi padanho repamusoro-soro i579.4 nm (nanometers).
Muenzaniso Mubvunzo 2: Kuziva Tembiricha Nekuziva Hurefu Hwakakwirira hweMawave
Mubvunzo: Kana kureba kwemwaranzi kubva mumuviri mutema kuri 400 nm, tembiricha yayo iri papi?
Kukurukurirana:
Zvinozivikanwa:
– Hurefu hwewavelength, \( \lambda_{max} = 400 \text{ nm} = 400 \times 10^{-9} \text{ m} \)
Kushandisa Wien shift equation:
\[ \lambda_{max} = \frac{b}{T} \]
Ronga patsva equation kuti uwane tembiricha:
\[ T = \frac{b}{\lambda_{max}} \]
Kutsiva kukosha:
\[ T = \frac{2.897 \times 10^{-3} \text{ mK}}{400 \times 10^{-9} \text{ m}} \]
Verenga kukosha:
\[ T = 7242.5 \chinyorwa{ K} \]
Saka, tembiricha ndeye 7242.5 K.
Muenzaniso 3: Kuchinja Kwemafungu Epamusoro-soro nekuda kweKuchinja kweTembiricha
Mubvunzo: Kana tembiricha yemuviri mutema ikawedzera kubva pa3000 K kusvika 6000 K, hupamhi hwemwaranzi yayo hunochinja sei?
Kukurukurirana:
Zvinozivikanwa:
– Tembiricha yekutanga, \( T_1 = 3000 \) K
– Tembiricha yekupedzisira, \( T_2 = 6000 \) K
Kushandisa Wien shift equation patembiricha yekutanga:
\[ \lambda_{max1} = \frac{2.897 \times 10^{-3} \text{ mK}}{3000 \text{ K}} \]
\[ \lambda_{max1} = 9.657 \kawa 10^{-7} \text{m} = 965.7 \text{nm} \]
Kushandisa Wien shift equation pakupisa kwekupedzisira:
\[ \lambda_{max2} = \frac{2.897 \times 10^{-3} \text{ mK}}{6000 \text{ K}} \]
\[ \lambda_{max2} = 4.828 \kawa 10^{-7} \text{m} = 482.8 \text{nm} \]
Saka, wavelength yekutanga yepamusoro i965.7 nm, uye pakupisa kwakanyanya inova 482.8 nm.
Muenzaniso Mubvunzo 4: Kuverenga Utsi Hunobva kuZuva
Mubvunzo: Tembiricha yepamusoro peZuva inenge 5778 K. Tsvaga huwandu hwakanyanya hwemwaranzi inoburitswa neZuva.
Kukurukurirana:
Zvinozivikanwa:
– Kupisa pamusoro pezuva, \( T = 5778 \) K
Kushandisa Wien shift equation:
\[ \lambda_{max} = \frac{b}{T} \]
Tsiva tembiricha uye Wien's displacement constant:
\[ \lambda_{max} = \frac{2.897 \times 10^{-3} \text{ mK}}{5778 \text{ K}} \]
Verenga kukosha:
\[ \lambda_{max} = 5.015 \kawa 10^{-7} \text{m} = 501.5 \text{nm} \]
Saka, kureba kwemvura kunosvika pakakwirira kwemwaranzi yezuva i501.5 nm.
Muenzaniso Mubvunzo 5: Kuona Ruvara Kubva paMaximum Wavelength
Mubvunzo: Hurefu hwemwaranzi hunobva mumuviri mutema i700 nm. Sarudza ruvara rwemwaranzi rwunoburitswa nechinhu chacho.
Kukurukurirana:
Kureba kwe700 nm kuri mukati me spectrum inooneka, kunyanya mu red range. Mu spectrum inooneka yeziso remunhu, kureba kwe700 nm kunowanzo zivikanwa seruvara rutsvuku.
Saka, mwaranzi inobva kuchinhu chacho ingangoonekwa seyakatsvuka.
Mhedziso
Kuchinja kweWien ipfungwa huru inotibatsira kunzwisisa hukama huripo pakati pekupisa kwemuviri mutema nehurefu hwemwaranzi inoburitswa. Nemienzaniso iri pamusoro, tinotarisira kunzwisisa zvakanyanya kuchinja kweWien. Pfungwa iyi haingokoshi chete mufizikisi yedzidziso asiwo ine mashandisirwo akasiyana-siyana, akadai semukuongorora nyeredzi, kwatinogona kuona kupisa kwenyeredzi zvichibva pahurefu hwemwaranzi inoburitswa.
Kunyatsojeka uye kujeka mukushanda kwemasvomhu kwakakosha pakushanda nematambudziko akadai, uye kunzwisisa mamiriro ezvinhu kunobatsira mukushandisa pfungwa dzacho mumamiriro akasiyana-siyana.
