Mohlala oa Lipotso tsa Puisano tsa Vienna Shift
Pendahuluan
Phetoho ea Wien ke mohopolo oa bohlokoa fisiks, haholo-holo thutong ea mahlaseli a 'mele o motšo. E bolela hore bolelele ba leqhubu sehlohlolong sa ho ntšoa ha mahlaseli ho tsoa 'meleng o motšo bo fetoha ho ea ho bolelele ba leqhubu bo bokhutšoanyane ha mocheso oa ntho o ntse o eketseha. Tekanyo ea phetoho ea Wien e entsoe ka tsela ena:
\[ \lambda_{max} = \frac{b}{T} \]
Moo:
– \( \lambda_{max} \) ke bolelele ba leqhubu tlhorong ya mosi (ka dimithara),
– \( T \) ke mocheso o felletseng oa 'mele o motšo (ho Kelvin),
– le \( b \) ke phetoho e sa fetoheng ya Wien e nang le boleng ba hoo e ka bang \( 2.897 \times 10^{-3} \) mK.
Ho fana ka kutloisiso e betere ea mohopolo ona, ha re buisaneng ka mehlala e meng ea phetoho ea Wien ka botlalo.
Mohlala oa Potso ea 1: Ho Fumana Bolelele bo Holimo ba Maqhubu
Potso: Ntho e chesang e ntša mahlaseli a letsatsi joalo ka 'mele o motšo o nang le mocheso oa 5000 K. Fumana bolelele ba leqhubu sehlohlolong sa ho ntšoa ha mahlaseli a letsatsi!
Puisano:
Hoa tsebahala:
– Mocheso oa 'mele, \( T = 5000 \) K
Ho sebelisa equation ea shift ea Wien:
\[ \lambda_{max} = \frac{b}{T} \]
Kenya maemo a mocheso le phetoho e sa fetoheng ea Wien:
\[ \lambda_{max} = \frac{2.897 \times 10^{-3} \text{ mK}}{5000 \text{ K}} \]
Bala boleng:
\[ \lambda_{max} = 5.794 \makgetlo a 10^{-7} \mongolo{m} = 579.4 \mongolo{nm} \]
Kahoo, bolelele ba leqhubu la maqhubu tlhōrōng ea ho ntšoa ha mahlaseli ke 579.4 nm (nanometers).
Mohlala oa Potso ea 2: Ho Fumana Mocheso ka ho Tseba Bolelele bo Holimo ba Maqhubu
Potso: Haeba bolelele bo boholo ba maqhubu a mahlaseli a tsoang 'meleng o motšo e le 400 nm, mocheso oa oona ke ofe?
Puisano:
Hoa tsebahala:
– Bolelele bo boholo ba leqhubu, \( \lambda_{max} = 400 \text{ nm} = 400 \times 10^{-9} \text{ m} \)
Ho sebelisa equation ea shift ea Wien:
\[ \lambda_{max} = \frac{b}{T} \]
Lokisa equation ho fumana mocheso:
\[ T = \frac{b}{\lambda_{max}} \]
Phetolo ea boleng:
\[ T = \frac{2.897 \times 10^{-3} \text{ mK}}{400 \times 10^{-9} \text{ m}} \]
Bala boleng:
\[ T = 7242.5 \mongolo{ K} \]
Kahoo, mocheso ke 7242.5 K.
Mohlala oa 3: Phetoho e Phahameng ea Bolelele ba Maqhubu ka lebaka la Phetoho ea Mocheso
Potso: Haeba mocheso oa 'mele o motšo o eketseha ho tloha ho 3000 K ho isa ho 6000 K, bolelele bo phahameng ba mahlaseli a oona bo fetoha joang?
Puisano:
Hoa tsebahala:
– Mocheso oa pele, \( T_1 = 3000 \) K
– Mocheso oa ho qetela, \( T_2 = 6000 \) K
Ho sebelisa equation ea Wien shift bakeng sa mocheso oa pele:
\[ \lambda_{max1} = \frac{2.897 \times 10^{-3} \text{ mK}}{3000 \text{ K}} \]
\[ \lambda_{max1} = 9.657 \makgetlo a 10^{-7} \mongolo{m} = 965.7 \mongolo{nm} \]
Ho sebelisa equation ea Wien shift bakeng sa mocheso oa ho qetela:
\[ \lambda_{max2} = \frac{2.897 \times 10^{-3} \text{ mK}}{6000 \text{ K}} \]
\[ \lambda_{max2} = 4.828 \makgetlo a 10^{-7} \mongolo{m} = 482.8 \mongolo{nm} \]
Kahoo, bolelele ba maqhubu a pele ke 965.7 nm, 'me maemong a mocheso a phahameng e ba 482.8 nm.
Mohlala oa Potso ea 4: Ho Bala Mesi e Tsoang Letsatsing
Potso: Mocheso o ka holimo oa Letsatsi o ka ba 5778 K. Fumana bolelele bo phahameng ka ho fetisisa ba mahlaseli a letsatsi a hlahisoang ke Letsatsi.
Puisano:
Hoa tsebahala:
– Mocheso wa hodima letsatsi, \( T = 5778 \) K
Ho sebelisa equation ea shift ea Wien:
\[ \lambda_{max} = \frac{b}{T} \]
Kenya maemo a mocheso le phetoho e sa fetoheng ea Wien:
\[ \lambda_{max} = \frac{2.897 \times 10^{-3} \text{ mK}}{5778 \text{ K}} \]
Bala boleng:
\[ \lambda_{max} = 5.015 \makgetlo a 10^{-7} \mongolo{m} = 501.5 \mongolo{nm} \]
Kahoo, bolelele ba leqhubu sehlohlolong sa tlhahiso ea mahlaseli a Letsatsi ke 501.5 nm.
Mohlala Potso ea 5: Ho Fumana 'Mala ho tloha Bolelele bo Holimo ba Maqhubu
Potso: Bolelele bo boholo ba maqhubu a mahlaseli a tsoang 'meleng o motšo ke 700 nm. Fumana 'mala o hakanyetsoang oa mahlaseli a hlahisoang ke ntho eo.
Puisano:
Bolelele ba maqhubu ba 700 nm bo ka hare ho sekgahla se bonahalang, haholo-holo mofubedung. Sekgahla se bonahalang sa leihlo la motho, bolelele ba maqhubu ba 700 nm hangata bo tsejwa e le mmala o mofubedu.
Kahoo, mahlaseli a tsoang nthong eo a ka bonahala a le mafubelu.
Qetello
Phetoho ea Wien ke mohopolo oa motheo o re thusang ho utloisisa kamano pakeng tsa mocheso oa 'mele o motšo le bolelele ba leqhubu la mahlaseli a ntšitsoeng. Ka mehlala e kaholimo, re tšepa ho ba le kutloisiso e matla ea phetoho ea Wien. Khopolo ena ha e bohlokoa feela fisiks ea khopolo-taba empa hape e na le lits'ebetso tse fapaneng tse sebetsang, joalo ka bolepi ba linaleli, moo re ka fumanang mocheso oa naleli ho latela bolelele ba leqhubu la mahlaseli a ntšitsoeng.
Ho nepahala le ho hlaka mesebetsing ea lipalo ho bohlokoa ha ho sebetsanoa le mathata a kang ana, 'me ho utloisisa moelelo oa' mele ho thusa ho sebeliseng mehopolo ka bohlale maemong a fapaneng.
