Mehlala ea Lipotso tse Buisanang ka Khopolo ea Lifotone
Lifotone ke dikarolwana tsa motheo tse bopang motheo wa kgopolo ya quantum ya lesedi. Jwalo ka quantum ya lesedi, photon e na le pakete ya matla e amanang ka ho toba le maqhubu a yona. Kgopolo ena e ile ya hlahiswa ka lekgetlo la pele ke Albert Einstein ka 1905. Sehloohong sena, re tla buisana ka mehlala e mmalwa le dipuisano mabapi le difotone ho hlakisa kutlwisiso ya rona ya sehlooho sena.
Kutloisiso ea Motheo ea Lifotone
Lifotone ke dikarolwana tse bobebe, kapa quanta, tsa mahlaseli a motlakase. Ho ya ka khopolo ya quantum, difotone ha di na boima ba ho phomola empa di na le matla le motsamao. Matla a photon a ka balwa ho sebediswa equation e ntshetsweng pele ke Max Planck:
\[ E = hf \]
Moo:
– \( E \) ke matla a photon
– \( h \) ke phetoho ya Planck ( \( 6.626 \times 10^{-34} \) Js)
– \( f \) ke maqhubu a khanya
Kamano pakeng tsa matla a photon le bolelele ba wavelength \(\lambda\) e ka hlaloswa ka equation e latelang:
\[ E = \frac{hc}{\lambda} \]
Moo:
– \( c \) ke lebelo la khanya ka har'a vacuum \( (3 \makhetlo a 10^8 \) m/s)
Lipotso tsa Mehlala le Puisano
Potso ea 1: Ho Bala Matla a Photon
Potso: Fotene e na le bolelele ba leqhubu ba 500 nm. Bala matla a fotene ka di-joule.
Puisano:
Sa pele, re fetola bolelele ba leqhubu ho tloha ho nanometers ho ea ho limithara.
\[ 500 \ \mongolo{nm} = 500 \makgetlo a 10^{-9} \ \mongolo{m} \]
Ho sebelisa equation ea matla a photon:
\[ E = \frac{hc}{\lambda} \]
Kenya boleng ba kamehla ba Planck ( \( h = 6.626 \times 10^{-34} \) Js) le lebelo la khanya \( c = 3 \times 10^8 \ \text{m/s} \):
\[ E = \frac{(6.626 \times 10^{-34} \ \text{Js}) \times (3 \times 10^8 \ \text{m/s})}{500 \times 10^{-9} \ \text{m}} \]
\[ E = \frac{1.9878 \times 10^{-25}}{500 \times 10^{-9}} \]
\[ E = 3.976 \makgetlo a 10^{-19} \ \mongolo{J} \]
Kahoo, matla a photon ke \( 3.976 \times 10^{-19} \) joules.
Potso ea 2: Ho Bala Makhetlo a Matla a Photon
Potso: Haeba photon e na le matla a \( 2.5 \makgetlo a 10^{-19} \) dijoule, kgafetsa ya lesedi eo photon e nang le yona ke efe?
Puisano:
Re sebelisa equation ea motheo ea matla a photon:
\[ E = hf \]
Re arola maqhubu \( f \):
\[ f = \frac{E}{h} \]
Kenya boleng ba eneji \( E \) le kamehla ea Planck \( h \):
\[ f = \frac{2.5 \times 10^{-19} \ \text{J}}{6.626 \times 10^{-34} \ \text{Js}} \]
\[ f = 3.77 \makgetlo a 10^{14} \ \mongolo{Hz} \]
Kahoo, maqhubu a khanya ke \( 3.77 \times 10^{14} \ \text{Hz} \).
Potso ea 3: Tšusumetso ea Photoelectric
Potso: Tekong ea phello ea photoelectric, photon e nang le matla a 4.0 eV e otla bokaholimo ba tšepe 'me e lokolla elektrone. Haeba mosebetsi oa ts'ebetso oa tšepe e le 2.5 eV, bala matla a kinetic a phahameng ka ho fetisisa a elektrone e lokollotsoeng.
Puisano:
Matla a photon \(E \) a fanoa ka di-electronvolts (eV). Re ka sebedisa boleng bona ka ho toba hobane mosebetsi wa mosebetsi le wona o ho eV.
Mosebetsi oa mosebetsi (\( W \)) ke matla a bonyane a hlokahalang ho tlosa elektrone holim'a tšepe. Matla a maholo a kinetic (\( KE \)) a elektrone a baloa e le phapang pakeng tsa matla a photon le mosebetsi oa mosebetsi:
\[ KE = E – W \]
Kenya boleng ba matla a photon \( E = 4.0 \\text{eV} \) le mosebetsi oa mosebetsi \( W = 2.5 \\text{eV} \):
\[ KE = 4.0 \ \mongolo{eV} – 2.5 \ \mongolo{eV} \]
\[ KE = 1.5 \ \mongolo{eV} \]
Kahoo, matla a phahameng ka ho fetisisa a kinetic a elektrone e lokollotsoeng ke 1.5 eV.
Potso ea 4: Bolelele ba Maqhubu ho tloha Maqhubung
Potso: Bolelele ba leqhubu la photon bo nang le maqhubu a \( 6 \times 10^{14} \ \text{Hz} \) ke bofe?
Puisano:
Ho sebelisoa kamano pakeng tsa lebelo la khanya, maqhubu le bolelele ba maqhubu:
\[ c = \lambda f \]
Re arola bolelele ba wavelength \( \lambda \):
\[ \lambda = \frac{c}{f} \]
Kenya boleng ba lebelo la khanya \( c = 3 \times 10^8 \ \text{m/s} \) le maqhubu \( f = 6 \times 10^{14} \ \text{Hz} \):
\[ \lambda = \frac{3 \times 10^8 \ \text{m/s}}{6 \times 10^{14} \ \text{Hz}} \]
\[ \lambda = 5 \makgetlo a 10^{-7} \ \text{m} \]
\[ \lambda = 500 \ \mongolo{nm} \]
Kahoo, bolelele ba leqhubu la photon ke 500 nm.
Potso ea 5: Matla a Photon ho Spectrum
Potso: Foton e ka har'a ultraviolet spectrum e na le bolelele ba leqhubu ba 150 nm. Bala matla a photon ka li-joules le li-electronvolts.
Puisano:
Taba ea pele, fetola bolelele ba leqhubu ho ba limithara:
\[ 150 \ \mongolo{nm} = 150 \makgetlo a 10^{-9} \ \mongolo{m} \]
Ho bala matla a photon ho li-joule:
\[ E = \frac{hc}{\lambda} \]
Kenya boleng:
\[ E = \frac{(6.626 \times 10^{-34} \ \text{Js}) \times (3 \times 10^8 \ \text{m/s})}{150 \times 10^{-9} \ \text{m}} \]
\[ E = \frac{1.9878 \times 10^{-25}}{150 \times 10^{-9}} \]
\[ E = 1.3252 \makgetlo a 10^{-18} \ \mongolo{J} \]
Ho fetolela di-joule ho di-electronvolt, re sebedisa 1eV = \( 1.602 \times 10^{-19} \) J:
\[ E \ (\text{eV}) = \frac{1.3252 \times 10^{-18} \ \text{J}}{1.602 \times 10^{-19} \ \text{J/eV}} \]
\[ E \ (\ mongolo{eV}) = 8.27 \ \ mongolo{eV} \]
Kahoo, matla a photon ea ultraviolet ke \( 1.3252 \times 10^{-18} \ \text{J} \) kapa 8.27 eV.
Qetello
Ho tsoa mathateng a fapaneng a mehlala le lipuisano tse kaholimo, re hlahlobile ka botebo litšobotsi le lipalo tse amanang le li-photon. Sena se kenyelletsa ho bala matla ho latela bolelele ba leqhubu le maqhubu, hammoho le ts'ebeliso ea mohopolo oa li-photon phellong ea photoelectric. Ho utloisisa mohopolo oa li-photon ho bohlokoa eseng feela fisiks ea khopolo-taba empa hape le lits'ebetsong tse fapaneng tsa theknoloji ea sejoale-joale joalo ka li-photovoltaics, li-laser le li-sensor tsa leseli. Ka boikoetliso bo lekaneng, ho utloisisa likhopolo tsena ho tla ba bonolo le ho utloahala haholoanyane.
