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Ayrıca, dalgaboyu λ olan fotonların durgun elektronlarla çarpışması sonucu oluşan saçılma durumları ve saçılan elektronların hızları arasındaki ilişki de ele alınmaktadır.","Videoda saçılan fotonun dalga boyundaki değişim formülü, çarpışma açısının saçılma üzerindeki etkisi ve farklı lambaların dalga boyları arasındaki ilişki gibi konular da örneklerle açıklanmaktadır."]},"endTime":849,"title":"Compton Saçılması Fizik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Compton Saçılması Nedir?","list":{"type":"unordered","items":["Compton saçılması, yüksek enerjili bir fotonun duran bir elektrona esnek olarak çarpması ve saçılması olayıdır.","Bu olay sadece tanecik modeli ile açıklanabilir ve fotoelektrik olaydan farklı olarak foton sorulup yok olmaz.","Fotoelektrik olayda foton elektrona tüm enerjisini verip yok olurken, Compton saçılmasında foton ve elektron her biri farklı yönlerde saçılır."]},"beginTime":0,"endTime":54,"href":"/video/preview/18008651915409444522?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=0&ask_summarization=1"},{"index":1,"title":"Compton Saçılmasında Değişen ve Değişmeyen Değerler","list":{"type":"unordered","items":["Compton saçılmasında saçılan fotonun enerjisi gelen fotona göre azalır.","Saçılan fotonun frekansı enerji azalmasıyla birlikte azalır.","Saçılan fotonun dalga boyu enerji azalmasıyla birlikte artar.","Saçılan fotonun momentumu gelen fotona göre azalır.","Saçılan fotonun hızı değişmez, her iki foton da ışık hızıyla hareket eder."]},"beginTime":54,"endTime":264,"href":"/video/preview/18008651915409444522?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=54&ask_summarization=1"},{"index":2,"title":"Enerji ve Momentum Korunumu","list":{"type":"unordered","items":["Compton saçılmasında enerji korunur, bu nedenle gelen fotonun enerjisi saçılan fotonun enerjisi ile elektronun kinetik enerjisinin toplamına eşittir.","Momentum korunur, gelen fotonun momentumu saçılan fotonun momentumu ile elektronun momentumunun toplamına eşittir.","Bazı sorularda momentumlar 3-4-5 üçgeni şeklinde verilir ve birinin momentumun üçte biri, dörtte biri, beşte biri ile orantılı olduğu görülür."]},"beginTime":264,"endTime":392,"href":"/video/preview/18008651915409444522?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=264&ask_summarization=1"},{"index":3,"title":"Dalga Boyundaki Değişim ve Kampın Dalga Boyu","list":{"type":"unordered","items":["Saçılan fotonun dalga boyundaki değişim (Δλ) pozitiftir ve λ' = λ₀(1 - cosθ) formülüyle hesaplanır.","θ, saçılan fotonun germe doğrultusuyla yaptığı açıdır.","Kampın dalga boyu, Planck sabiti, elektron kütlesi ve ışık hızı sabitlerinden oluşur ve sorularda genellikle verilir."]},"beginTime":392,"endTime":550,"href":"/video/preview/18008651915409444522?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=392&ask_summarization=1"},{"index":4,"title":"Foton Çarpışması ve Elektron Hızı İlişkisi","list":{"type":"unordered","items":["Dalga boyu λ olan fotonlar durgun elektronları çarptığında saçılma gerçekleşir ve saçılan elektronların hızları arasındaki ilişki incelenir.","Dalga boyu λ olan ışığın enerjisine 12E, saçılan fotonların dalga boyları 4E, 3E ve 2E olarak alınarak, elektronların enerjileri hesaplanır.","X, Y ve Z elektronlarının enerjileri sırasıyla 9E, 8E ve 6E olduğundan, hızları X > Y > Z şeklinde sıralanır."]},"beginTime":558,"endTime":713,"href":"/video/preview/18008651915409444522?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=558&ask_summarization=1"},{"index":5,"title":"Foton Çarpışması ve Dalga Boyu İlişkisi","list":{"type":"unordered","items":["Dalga boyu λ olan fotonlar duran X ve Y elektronlarını çarptığında saçılan fotonların dalga boyları λ1 ve λ2 olarak verilir.","λ2 saçılan foton 90 derecelik açıyla giderken, λ1 saçılan foton daha az açıyla gider, bu da λ2'nin enerjisinin daha fazla aktarıldığını gösterir.","Enerjisinin en fazlasını aktaran fotonun dalga boyu en büyük olduğundan, λ2 > λ1 > λ0 ilişkisi kurulur."]},"beginTime":713,"endTime":847,"href":"/video/preview/18008651915409444522?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=713&ask_summarization=1"}],"linkTemplate":"/video/preview/18008651915409444522?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Modern Fizik -compton 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Bir öğretmen tarafından sunulan eğitim içeriğinde kaptan saçılması ve fotoelektrik olayları konuları anlatılmaktadır.","Videoda kaptan saçılması olayı, ışığın tanecik-dalga doğası, foton-elektron çarpışması, momentum ve enerji korunumu prensipleri detaylı şekilde ele alınmaktadır. Eğitmen, teorik bilgileri matematiksel hesaplamalarla destekleyerek, çeşitli soru çözümleri yaparak konuyu pekiştirmektedir.","Video, Broglie'nin dalga-parçacık dualizmi, dalga boyu-momentum ilişkisi, fotonların enerjisi ve dalga boyu arasındaki bağlantılar gibi konuları içermektedir. Ayrıca, aynı enerjiye sahip özdeş fotonların durgun haldeki elektrona çarpıp saçılması durumu ve saçılan fotonların yatayla yaptığı açılar arasındaki ilişki örneklerle açıklanmaktadır. Video, bir sonraki derste modern fiziğin teknolojideki uygulamalarının işleneceği bilgisiyle sonlanmaktadır."]},"endTime":2308,"title":"AYT Fizik Full Tekrar Kampı: Kaptan Saçılması ve Fotoelektrik Olayları","beginTime":0}],"fullResult":[{"index":0,"title":"AYT Fizik Full Tekrar Kampı","list":{"type":"unordered","items":["Vip Fizik YouTube kanalında AYT fizik full tekrar kampının 26. gününde kaptan saçılması konusu ele alınacak.","Kaptan saçılması konusu çok kolay olup, sınavda bir soru gelebileceği düşünülüyor.","Yarın modern fiziğin teknolojideki uygulamaları anlatılacak ve kamp tamamlanacak."]},"beginTime":2,"endTime":44,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=2&ask_summarization=1"},{"index":1,"title":"Kaptan Saçılması Olayı","list":{"type":"unordered","items":["Kaptan saçılması olayı ışığın yalnızca tanecik doğasıyla açıklanabiliyor.","Kırım ve girişim olayları ışığın dalga doğasıyla, fotoelektrik ve kaptan saçılması ise ışığın tanecik doğasıyla açıklanabilir.","Yüksek enerjili X-ışını fotonu, karbon atomunun son yörüngesindeki elektrona esnek bir şekilde çarparak enerjisinin bir kısmını elektrona aktarır ve saçılmaya uğrar."]},"beginTime":44,"endTime":83,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=44&ask_summarization=1"},{"index":2,"title":"Kaptan Saçılması ve Fotoelektrik Olayı","list":{"type":"unordered","items":["Fotoelektrik olayı ile kaptan saçılması arasındaki benzerlik, ikisinin de ışığın tanecik olduğunu ispatlamasıdır.","Fotoelektrik olayında foton sorulurken, kaptan saçılmasında foton sorulmuyor.","Foton durgun kabul edilen bir elektrona çarpıyor ve yoluna saçılan foton olarak devam ediyor, yok olmuyor."]},"beginTime":83,"endTime":112,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=83&ask_summarization=1"},{"index":3,"title":"Enerji ve Momentum Korunumu","list":{"type":"unordered","items":["Enerji skaler bir büyüklük olduğu için skaler şekilde korunur, momentum vektörel bir büyüklük olduğu için vektörel olarak korunur.","Esnek çarpışmada çarpışma öncesi toplam enerji, çarpışma sonrası saçılan fotonun enerjisi ve saçılan elektronun kinetik enerjilerinin toplamına eşit olmalıdır.","Saçılan fotonun enerjisi gelen fotonun enerjisinden kesinlikle daha küçük olmalıdır çünkü foton enerjisinin bir miktarını elektron aktarıyor."]},"beginTime":112,"endTime":196,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=112&ask_summarization=1"},{"index":4,"title":"Foton Özellikleri","list":{"type":"unordered","items":["Foton enerjisi E = hf veya E = hc/λ bağlantısıyla bulunabilir.","Enerji büyük olanın frekansı büyük, dalga boyu küçük olur; bu nedenle gelen fotonun frekansı ve dalga boyu saçılan fotonunkine göre daha büyüktür.","Foton enerjisinden dolayı momentuma sahiptir ve momentum enerji ile doğru orantılıdır; bu nedenle gelen fotonun momentumu saçılan fotonun momentumundan daha büyüktür."]},"beginTime":196,"endTime":272,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=196&ask_summarization=1"},{"index":5,"title":"Momentum Korunumu ve Enerji Hesaplamaları","list":{"type":"unordered","items":["Momentum vektörel bir büyüklük olduğu için gelen fotonun momentumu, saçılan fotonun ve saçılan elektronun momentumlarının vektörel toplamına eşittir.","Momentumdan enerjiye geçiş yapılabilir, ancak fotondan elektrona enerji geçişi yapılamaz, sadece fotondan fotona enerji geçişi yapılır.","Broglie, fotonun dalga boyu ile momentum arasındaki ilişkiyi λ = h/p şeklinde ifade etmiş ve kütlesi ve hızı olan bütün maddesel parçacıklara bir dalga eşlik ettiğini söylemiştir."]},"beginTime":272,"endTime":480,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=272&ask_summarization=1"},{"index":6,"title":"Broglie Dalga Boyu","list":{"type":"unordered","items":["λ = h/p bağıntısında h/p momentum olarak düşünülebilir.","Işık bir dalga ise ve ona bir tanecik eşlik ediyorsa, o zaman tanecikleri de bir dalga eşlik edebilir fikrinden dolayı Broglie, kütlesi ve hızı olan bütün parçacıklara bir dalga eşlik eder.","Bu dalga fiziksel bir dalga değil, olasılık dalgasıdır."]},"beginTime":480,"endTime":529,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=480&ask_summarization=1"},{"index":7,"title":"Kampın Saçılması Problemi","list":{"type":"unordered","items":["Kampın saçılması olayında, durgun haldeki elektrona çarpan fotonun hızı, saçılan fotonun hızından büyüktür.","Saçılan fotonun enerjisi, saçılan elektron enerjisinin dört katıdır.","Enerji ve dalga boyu ters orantılıdır; enerjisi büyük olanın dalga boyu küçüktür."]},"beginTime":531,"endTime":646,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=531&ask_summarization=1"},{"index":8,"title":"Foton ve Elektron Momentumu","list":{"type":"unordered","items":["Kampın saçılması olayında, dalgaboyu üç katına çıktığında enerji üçte biri olur.","Enerji ve momentum doğru orantılıdır; enerjisi bir olanın momentumu bir, enerjisi üç olanın momentumu da p üç olur.","Fotoelektrik olay sadece ışığın tanecik modeli ile açıklanabilir, tek yarıkta kırım ve çift yarıkta girişim sadece dalgadır."]},"beginTime":646,"endTime":757,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=646&ask_summarization=1"},{"index":9,"title":"X-ışını Foton ve Elektron Çarpışması","list":{"type":"unordered","items":["Saçılan elektronun enerjisi, gelen fotonun enerjisinden daha büyüktür şeklinde bir ifade kesinlikle doğrudur.","Saçılan fotonun dalga boyu, gelen fotonun dalga boyundan daha büyüktür.","Saçılan fotonun momentumu, saçılan elektronun momentumundan küçüktür şeklinde bir ifade kesin değildir."]},"beginTime":757,"endTime":893,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=757&ask_summarization=1"},{"index":10,"title":"Kampın Saçılması Özellikleri","list":{"type":"unordered","items":["Kampın saçılmasında, durgun elektrona esnek olarak çarpan foton yoluna saçılan foton olarak devam eder.","Kampın saçılmasında, gelen foton, saçılan foton ve elektron aynı düzlemdedir.","Saçılan elektronun momentumu, elektronun kütlesi çarpı hızıyla hesaplanabilir şeklinde bir ifade yanlıştır çünkü elektron ışık hızına ulaşamaz."]},"beginTime":893,"endTime":966,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=893&ask_summarization=1"},{"index":11,"title":"Saçılan Foton ve Elektron Karşılaştırması","list":{"type":"unordered","items":["Saçılan fotonun hızı ışık hızıdır, saçılan elektronun hızı ise normal bir hızdır ve ışık hızı elektron hızından her zaman daha büyüktür.","Açılar eşit olduğunda, fotonun momentumu ne kadarsa elektronun momentumu da o kadar olmak zorundadır.","Momentumları arasında büyüklük olayı yoktur, ikisi de eşittir."]},"beginTime":966,"endTime":1057,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=966&ask_summarization=1"},{"index":12,"title":"Foton Çarpışmasında Momentum Korunumu","list":{"type":"unordered","items":["İki vektör birbirine eşit ve arasındaki açı 120 derece olduğunda bileşke momentum tam ortadan bir vektör verir.","Gelen foton ile saçılan fotonun momentumları aynı olamaz, bu durum momentum korunumuna aykırıdır.","Vektörler arasındaki açı arttıkça bileşke momentum küçülür, bu nedenle açı 120 dereceden daha büyük olamaz."]},"beginTime":1059,"endTime":1189,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=1059&ask_summarization=1"},{"index":13,"title":"Açının Etkisi ve İspat","list":{"type":"unordered","items":["Açıyı küçülterek ispat yapmak için 53 derece açısı seçilmiştir.","53 derece açıda momentumlar 345 etkili kullanılarak, gelen fotonun momentumu 6p, saçılan fotonun momentumu 5p olarak hesaplanmıştır.","Gelen fotonun enerjisi 6, saçılan fotonun enerjisi 5, saçılan elektronun enerjisi 1 olarak bulunmuştur."]},"beginTime":1189,"endTime":1285,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=1189&ask_summarization=1"},{"index":14,"title":"Açının Enerji Kaybına Etkisi","list":{"type":"unordered","items":["Açının küçüldükçe fotonun kaybettiği enerji azalır, çünkü foton yolundan fazla sapmaz.","Çarpışma şiddeti arttıkça saçılma açıları arasındaki mesafe artar ve açı büyür.","Açının küçüldükçe saçılan fotonun enerjisi saçılan elektron enerjisinden kat kat fazla olur, bu durum 53 derece açıda bile geçerlidir."]},"beginTime":1285,"endTime":1424,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=1285&ask_summarization=1"},{"index":15,"title":"Kampın Deneyi ve Fotoelektrik Olayı","list":{"type":"unordered","items":["Kampın deneyinde, iki enerjili fotonlar kullanılarak saçılan elektronun enerjisi E/2, saçılan fotonun dalgaboyu λ olduğunda, gelen fotonun enerjisi 3E yapıldığında saçılan elektronun enerjisi 2 olduğuna göre saçılan fotonun dalga boyu 3/2λ olur.","Kütleleri ve momentumları Px ve Py olan X ve Y maddelerine eşlik eden dalga boyları birbirine eşit olduğunda, momentumların eşit olması gerektiği için Px = Py olmalıdır.","Kampın olayı ve fotoelektrik olayı için geçerli olan durumlar: ışığın tanecikli yapıda olması ve foton ile etkileşmeye giren elektronun kinetik enerji kazanmasıdır."]},"beginTime":1426,"endTime":1649,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=1426&ask_summarization=1"},{"index":16,"title":"Kampın Deneyi Problemleri","list":{"type":"unordered","items":["Kampın saçılması deneyinde E enerjili bir fotonun durgun haldeki elektrona esnek olarak çarpıp saçıldığında, saçılan elektron enerjisi 4E olduğuna göre, gelen fotonun dalga boyu 4/3λ olur.","Kampın deneyinde λ dalga boylu bir foton durgun elektrona çarptıktan sonra saçılan fotonun dalgaboyu 5/4λ, saçılan elektron enerjisi E olduğuna göre, gelen fotonun momentumu saçılan fotonun momentumuna oranı 5/4'tür.","Kütleleri m, 2m ve 3m olan iki parçacıklarına eşlik eden dalga boyları 4λ, 2λ ve λ olduğunda, parçacıkların hız büyüklükleri sıralanırsa y > z > x olur."]},"beginTime":1649,"endTime":1989,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=1649&ask_summarization=1"},{"index":17,"title":"Fotoelektrik Olayı Problemi","list":{"type":"unordered","items":["Enerjisi 5E momentumu 5b olan bir foton durgun haldeki elektrona esnek olarak çarpıyor, saçıldığında saçılan fotonun momentumu 4b, saçılan elektron enerjisi 1E olabilir.","Bu durumda açı 53 derece olmalıdır çünkü momentum korunur ve enerji korunur."]},"beginTime":1989,"endTime":2121,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=1989&ask_summarization=1"},{"index":18,"title":"Foton-Elektron Çarpışması Problemi","list":{"type":"unordered","items":["Aynı enerjiye sahip özdeş fotonlar durgun haldeki elektrona çarpıp farklı açılarla saçılıyor.","Foton yolundan çok sapmışsa enerjisinin büyük kısmını elektrona aktarmış, yolundan az sapmışsa enerjisini fazla kaybetmemiştir.","Saçılan fotonların yatayla yaptığı açılar arasındaki ilişki verilmiş ve saçılan elektronların enerjilerinin sıralaması isteniyor."]},"beginTime":2125,"endTime":2160,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=2125&ask_summarization=1"},{"index":19,"title":"Enerji Sıralaması","list":{"type":"unordered","items":["Alfa açısı 60 derece, beta açısı 40 derece, c açısı 20 derece olarak örneklendirilmiş.","Alfa açısı 60 derece olan deneyde çarpışma çok şiddetli olduğu için elektrona aktarılan enerji daha fazla (örneğin 100 dereceden 40 derece elektrona aktarılmış).","Beta açısı 40 derece olan deneyde çarpışma daha zayıf olduğu için elektrona aktarılan enerji daha az (örneğin 100 dereceden 20 derece elektrona aktarılmış).","C açısı 20 derece olan deneyde çarpışma en zayıf olduğu için elektrona aktarılan enerji en az (örneğin 100 dereceden 5 derece elektrona aktarılmış)."]},"beginTime":2160,"endTime":2259,"href":"/video/preview/12795307465149278728?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=2160&ask_summarization=1"},{"index":20,"title":"Sonuç ve Kapanış","list":{"type":"unordered","items":["Saçılan elektronların enerjileri sıralandığında en büyük enerji E1, sonra E2, en son E3 olarak belirlenmiştir.","Sorunun doğru cevabı A şıkkıdır.","Bir sonraki gün modern fiziğin teknolojideki uygulamaları işlenecek ve kamp 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Video, ÖSYM müfredatına uygun hazırlanmış olup, sınavlarda çıkabilecek soru tiplerine değinmektedir."]},"endTime":2496,"title":"Kampın Saçılması ve Modern Fizik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Kampın Saçılması Deneyi","list":{"type":"unordered","items":["Kampın saçılması, ışığın tanecik özelliğini destekleyen ve fotoelektrik olaydan daha güçlü bir deneydir.","Fotoelektrik olayda sadece enerjinin korunumuyla ışığın tanecik doğası ispatlanırken, kampın saçılmasında hem enerji hem de momentumun korunmasıyla ışığın tanecik doğası gözler önüne serilmiştir.","Kampın saçılmasında, fotonlar atomlarla esnek çarpışma yaparak enerji ve momentum aktarır."]},"beginTime":7,"endTime":62,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=7&ask_summarization=1"},{"index":1,"title":"Fotonun Momentumu","list":{"type":"unordered","items":["Einstein, fotonların momentumu için p = h/λ denklemini bulmuştur.","Fotonun momentumu, enerjisiyle doğru orantılıdır: E = p × c.","Testlerde sıkça karşılaşılan bir bilgi: Enerjisi daha büyük olan fotonun momentumu da daha büyüktür."]},"beginTime":62,"endTime":221,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=62&ask_summarization=1"},{"index":2,"title":"Kampın Saçılmasının Ayrıntıları","list":{"type":"unordered","items":["Kampın saçılmasında, fotonlar elektronlarla merkezi olmayan esnek çarpışma yaparak saçılmaktadır.","Kampın saçılmasında foton sorulmaz, saçılan foton ve elektron gelen fotonun aynı düzleminde yer alır.","Fotoelektrik olayda sadece enerjinin korunumu olurken, kampın saçılmasında hem enerji hem de momentum korunur."]},"beginTime":221,"endTime":510,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=221&ask_summarization=1"},{"index":3,"title":"Momentum ve Enerjinin Korunumu","list":{"type":"unordered","items":["Momentum vektörel bir büyüklük olduğu için vektörel olarak korunur, enerji ise skaler bir kavram olduğu için sayısal olarak korunur.","Çarpışma öncesi enerjilerin toplamı çarpışma sonrası enerjilerin toplamına eşittir: Gelen fotonun enerjisi = Saçılan fotonun enerjisi + Saçılan elektronun enerjisi.","Gelen fotonun momentumu, saçılan fotonun momentumu ve saçılan elektronun momentumunun vektörel toplamı, gelen fotonun momentumuna eşittir."]},"beginTime":510,"endTime":726,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=510&ask_summarization=1"},{"index":4,"title":"Fotonların Özellikleri","list":{"type":"unordered","items":["Gelen fotonun enerjisi saçılan fotonun enerjisinden daha büyük olduğundan, frekansı da daha büyüktür.","Enerji ve dalga boyu ters orantılı olduğundan, saçılan fotonun dalga boyu gelen fotonun dalga boyundan daha büyüktür.","Fotonun momentumu enerjisine doğru orantılı olduğundan, gelen fotonun momentumu saçılan fotonun momentumundan büyüktür."]},"beginTime":728,"endTime":805,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=728&ask_summarization=1"},{"index":5,"title":"Elektronun Momentumu","list":{"type":"unordered","items":["Fotonlar ışık hızında hareket eder, bu nedenle saçılan ve gelen fotonların hızları birbirine eşittir.","Elektronun momentumu, saçılan fotonun momentumundan büyük, küçük veya eşit olabilir, bu nedenle kesin bir karşılaştırma yapılamaz.","Elektronun momentumu hakkında kesin bir şey söylemek için açı bilgilerinin verilmesi gerekir."]},"beginTime":805,"endTime":991,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=805&ask_summarization=1"},{"index":6,"title":"Kampın Saçılması ve Fotoelektrik Olayı","list":{"type":"unordered","items":["Kampın saçılması ve fotoelektrik olaylar ışığın tanecik doğasını destekler, ancak kampın saçılmasında foton sorulmaz.","Her iki olayda enerji korunur, ancak kampın saçılmasında momentum korunumu da vardır.","Fotoelektrik olayda foton enerjisinin tamamı elektrona aktarılırken, kampın saçılmasında enerji saçılan foton ve elektrona bölünür."]},"beginTime":991,"endTime":1067,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=991&ask_summarization=1"},{"index":7,"title":"Işıkın İkili Doğası","list":{"type":"unordered","items":["Newton ışığın tanecikli yapıda olduğunu, Huygens ise ışığın dalga yapısında olduğunu savunmuştur.","Young'un çift yarık deneyi kırınım olayını göstererek ışığın dalga doğasını ispatlamıştır.","Einstein, ışığın enerjisi yüksekse tanecik doğası ön plana çıkarken, enerjisi düşükse dalga özelliği ön plana çıktığını belirtmiştir."]},"beginTime":1067,"endTime":1236,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=1067&ask_summarization=1"},{"index":8,"title":"Işık Özelliklerinin Açıklanması","list":{"type":"unordered","items":["Kırınım, girişim, polarizasyon, ışığın renklerine ayrılması ve aynı anda hem yansıma hem kırılma yapması sadece dalga özelliği ile açıklanabilir.","Kampın saçılması, fotoelektrik olay ve siyah cisim ışıması sadece tanecik doğasıyla açıklanabilir.","Yansıma ve kırılma hem dalga hem tanecik özelliği ile açıklanabilir."]},"beginTime":1236,"endTime":1416,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=1236&ask_summarization=1"},{"index":9,"title":"De Broglie ve Madde Dalgaları","list":{"type":"unordered","items":["De Broglie, ışığın hem dalga hem tanecik özelliği göstermesinden etkilenerek, maddelerin de benzer özelliklere sahip olabileceğini öne sürmüştür.","Özellikle küçük parçacıklar için (örneğin elektronlar) hem tanecik hem dalga doğası olabilir.","Modern atom teorisinde elektronun her yerde olabileceği, elektrona eşlik eden bir olasılık dalgası olduğu belirtilmiştir."]},"beginTime":1416,"endTime":1506,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=1416&ask_summarization=1"},{"index":10,"title":"Broglie'nin Dalga Hipotezi","list":{"type":"unordered","items":["Louis de Broglie, 1923 yılında doktora tezinde fotonların hem dalga hem tanecik özelliklerine sahip olması nedeniyle tüm maddelerin de bu iki özelliğe sahip olabileceğini öne sürdü.","Broglie'ye göre elektronlar ışığın gibi hem tanecik hem dalga doğasına sahiptir ve her elektrona olasılık dalgası eşlik eder.","Broglie, Planck'ın enerji-frekans ilişkisi ve Einstein'ın enerji-kütle ilişkisini birleştirerek λ=h/p formülünü türetti ve 1929 yılında Nobel Fizik Ödülü'nü kazandı."]},"beginTime":1512,"endTime":1569,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=1512&ask_summarization=1"},{"index":11,"title":"Broglie Dalga Boyu Formülü","list":{"type":"unordered","items":["Broglie, Planck'ın E=hf formülü ile Einstein'ın E=mc² formülünü eşleştirerek λ=h/p formülünü elde etti.","Kütlesi ve momentumu olan her parçacığa bir dalga eşlik eder ve bu dalganın dalga boyu λ ile gösterilir.","Soru çözümlerinde λ=h/p formülü kullanılarak problem çözülebilir."]},"beginTime":1569,"endTime":1659,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=1569&ask_summarization=1"},{"index":12,"title":"Kamptan Saçılma Örnekleri","list":{"type":"unordered","items":["Kamptan saçılma olayında gelen fotonun frekansı ve momentumu saçılan fotonundan daha büyüktür, ancak hızları eşittir.","Bir kamptan saçılma olayında, gelen fotonun enerjisinin 3/7'sini kaybederek saçılması durumunda, saçılan fotonun dalga boyunun gelen fotonun dalga boyuna oranı 4/7'dir.","Dalga boyu ile enerji ters orantılıdır, frekans ile enerji ise doğru orantılıdır."]},"beginTime":1659,"endTime":1868,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=1659&ask_summarization=1"},{"index":13,"title":"Saçılma Açısı ve Enerji İlişkisi","list":{"type":"unordered","items":["Kamptan saçılma olayında, fotonun saçılma açısı daha büyük olsaydı, saçılan fotonun enerjisi azalır.","Saçılan fotonun enerjisi azaldığı için dalga boyu artar ve frekansı azalır.","Saçılan fotonun momentumu da azalırken, saçılan elektronun enerjisi artar."]},"beginTime":1868,"endTime":2148,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=1868&ask_summarization=1"},{"index":14,"title":"X-ışını Fotonu ve Elektron Çarpışması Problemi","list":{"type":"unordered","items":["Soruda X-ışını fotonunun serbest elektronla yaptığı kaptan saçılması gösterilmiş ve gelen fotonun enerjisinin saçılan elektronun enerjisine oranı sorulmuş.","Enerjiyi doğrudan bulamayız, ancak momentumdan enerjiye geçiş yapabiliriz.","Çarpışma öncesinde ve sonrasında momentum korunur, bu nedenle çarpışma sonrası momentum da sağa doğru olmak zorundadır."]},"beginTime":2152,"endTime":2230,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=2152&ask_summarization=1"},{"index":15,"title":"Momentum Vektörlerinin Analizi","list":{"type":"unordered","items":["Saçılan fotonun momentumu ile saçılan elektronun momentumunun vektörel toplamı, gelen fotonun momentumuna eşit olmalıdır.","Elektronun açısıyla fotonun açısı arası 90 derece olduğu için, üçgen kuralları geçerlidir.","Fotonların momentumları ve enerjileri doğru orantılıdır, ancak elektronla fotonu momentum olarak kıyaslayamazsınız."]},"beginTime":2230,"endTime":2393,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=2230&ask_summarization=1"},{"index":16,"title":"Enerji Korunumu ve Sonuç","list":{"type":"unordered","items":["Enerji korunumu prensibine göre, gelen fotonun enerjisi, saçılan elektronun enerjisine ve saçılan fotonun enerjisine toplamına eşittir.","Gelen fotonun enerjisi 5E, saçılan fotonun enerjisi 3E olduğundan, saçılan elektronun enerjisi 2E'dir.","Gelen fotonun enerjisinin saçılan elektronun enerjisine oranı 5/2'dir."]},"beginTime":2393,"endTime":2476,"href":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=2393&ask_summarization=1"}],"linkTemplate":"/video/preview/11361426574194848730?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Compton Saçılması Konu Anlatımı | PDF | AYT 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bu dersimizde size Compton Saçılması'nın özetini çıkardık. Henüz ders anlatım videolarımızın ikincisideyiz görüntü konusunda bir sıkıntı varsa kusura bakmayın. İyi çalışmalar...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3444717/c3b8c8c54286c33e336a5ebb83502aca/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/UJlVPgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D1FpsjFVFU_Y","linkTemplate":"/video/preview/12433814364748074300?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Fizik ayt-compton saçılması konu 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Eğitmen, fotoelektrik etki ve Compton saçılması konularını detaylı bir şekilde açıklamaktadır.","Video, Compton saçılması ile ilgili yargıların doğruluğunu sorgulayan sorularla başlayıp, fotonun momentum, enerji ve dalga boyu gibi niceliklerinin nasıl değiştiğini açıklamaktadır. Eğitmen, momentum korunumu, enerji korunumu ve fotonun elektrona çarptığında nasıl davranacağı gibi temel fizik prensiplerini kullanarak çeşitli soru çözümleri yapmaktadır.","Videoda ayrıca \"ya hep ya hiç\" prensibi, fotonların atomlarla etkileşimi, fotoelektrik etki ve Compton saçılması olayları arasındaki ortak ve farklı özellikler de formüllerle desteklenerek anlatılmaktadır."]},"endTime":880,"title":"Fizik Dersi: Fotoelektrik Etki ve Compton Saçılması","beginTime":0}],"fullResult":[{"index":0,"title":"Compton Saçılmasında Doğru Yargılar","list":{"type":"unordered","items":["Compton saçılmasında momentum korunur ve vektörel korunur.","Gelen foton, saçılan foton ve elektron aynı düzlemdedir, aksi takdirde momentum korunamaz.","Çarpışma esnasında foton enerjisi kaybettiği enerji elektronun kazandığı kinetik enerji eşittir."]},"beginTime":7,"endTime":102,"href":"/video/preview/10386987377561118819?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=7&ask_summarization=1"},{"index":1,"title":"Compton Saçılmasında Saçılan Fotonun Özellikleri","list":{"type":"unordered","items":["Saçılan fotonun momentumu gelen fotondan büyüktür çünkü fotonun enerjisi elektrona aktardığı için azalır.","Saçılan fotonun dalga boyu gelen fotondan büyüktür çünkü enerjisi azaldığı için dalga boyu artar.","Saçılan fotonun hızı değişmez, ışık hızına eşittir."]},"beginTime":102,"endTime":219,"href":"/video/preview/10386987377561118819?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=102&ask_summarization=1"},{"index":2,"title":"Fotoelektrik Olay ve Compton Saçılmasının Ortak Özellikleri","list":{"type":"unordered","items":["Fotoelektrik olay ve Compton saçılması ışığın tanecik modelini destekler.","Fotoelektrik olayında foton tamamen sorulur, Compton saçılmasında ise foton enerjisinin belli bir kısmını elektrona verince geriye kalan kısmıyla yoluna devam eder.","Fotoelektrik olayında foton birden fazla elektrona çarpamaz, Compton saçılmasında ise çarpabilir."]},"beginTime":219,"endTime":421,"href":"/video/preview/10386987377561118819?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=219&ask_summarization=1"},{"index":3,"title":"Compton Saçılmasında Değişimler","list":{"type":"unordered","items":["Fotonun dalga boyu çarpışma sonucunda artar çünkü enerjisi ve frekansı azalır.","Fotonun hızı çarpışma sonucunda değişmez, ışık hızına eşittir.","Fotonun momentumu çarpışma sonucunda azalır çünkü enerjisi azaldığı için momentum da azalır."]},"beginTime":421,"endTime":519,"href":"/video/preview/10386987377561118819?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=421&ask_summarization=1"},{"index":4,"title":"Foton ve Atom İlişkisi","list":{"type":"unordered","items":["Fotonla atomu uyardığımızda \"ya hep ya hiç\" prensibine göre davranır; elektronu koparabilecek enerjiye sahipse, foton tamamen yok olur ve elektrona tüm enerjisini verir.","Fotoelektrik olayında foton alkali metale çarptığında elektronu söker ve tamamen yok olur, elektron ise fotonun enerjisini bağlanma ve kinetik enerjisinde kullanır.","Kampın saçılmasında fotonun enerjisinin sadece belli bir kısmı sorulur, tamamen sorulmaz; foton düşük bir enerji ile çarpışmadan sonraki düşük bir enerji ile yoluna devam eder."]},"beginTime":522,"endTime":583,"href":"/video/preview/10386987377561118819?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=522&ask_summarization=1"},{"index":5,"title":"Kampın Saçılması Özellikleri","list":{"type":"unordered","items":["Kampın saçılmasında gelen ve saçılan fotonların momentumları eşit değildir; fotonun enerjisi ve momentumu elektrona aktardığı için azalır.","Fotonlar ışık hızıyla yayılır, bu nedenle gelen ve saçılan fotonların hızları eşittir.","Foton ışık hızıyla hareket ederken, saçılan elektron ışık hızından daha düşük bir hızla hareket eder."]},"beginTime":583,"endTime":683,"href":"/video/preview/10386987377561118819?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=583&ask_summarization=1"},{"index":6,"title":"Compton Saçılması Deneyinde Dalga Boyu Değişimi","list":{"type":"unordered","items":["Compton saçılması deneyinde, gelen fotonun dalga boyu (λ) ile saçılan fotonların dalga boyları (λ') arasındaki fark (Δλ) formülü: Δλ = h/mc(1 - cosθ) şeklindedir.","Açının (θ) artmasıyla dalga boyundaki değişim miktarı (Δλ) artar.","M fotonunun açısı en büyük olduğu için dalga boyundaki değişim en fazla olur, ardından L ve K fotonları sıralanır."]},"beginTime":683,"endTime":789,"href":"/video/preview/10386987377561118819?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=683&ask_summarization=1"},{"index":7,"title":"Kampın Saçılması Momentum Korunumu","list":{"type":"unordered","items":["Kampın saçılması olayında enerji ve momentum korunur, bu nedenle momentumun vektörel olarak da korunması gerekir.","Gelen fotonun momentumu sağa doğru olduğunda, saçılan foton ve elektronun momentumlarının bileşkesi sağa doğru çıkabilir.","Üçüncü seçenekte, saçılan foton ve elektronun momentumları vektörel olarak korunmadığı için saçılma 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Öğretmen, Arthur Kampın soyadıyla anılan fizikçinin 1923 yılında yaptığı ve 1927'de Nobel Ödülü kazandıran kampın saçılması deneyini anlatmaktadır.","Videoda kampın saçılması olayı detaylı olarak ele alınmakta, fotonların momentumu, enerji korunumu, esnek çarpışma özellikleri ve saçılan fotonun frekansı ile dalga boyu gibi konular açıklanmaktadır. Ayrıca momentum korunumu kavramı vektörel olarak incelenmekte ve foton ile elektron arasındaki momentum ilişkisi anlatılmaktadır.","Ders içeriğinde Einstein'ın kütle-enerji eşdeğerliği formülü de ele alınmakta ve foton için momentumun enerjiyle doğru orantılı olduğu belirtilmektedir. Video, 2015 LYS sınavında çıkan kampın saçılması ile ilgili bir soru üzerinden örnek çözüm sunarak ve konunun en önemli noktalarını vurgulayarak sonlanmaktadır."]},"endTime":982,"title":"Kampın Saçılması Fizik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Kampın Saçılması ve Arthur Kamp","list":{"type":"unordered","items":["Kampın saçılması konusu, Arthur Kamp'ın çalışmaları sonucunda ismiyle anılıyor.","Arthur Kamp 1923'te bu çalışmayı yapmış ve 1927'de Nobel Ödülü almış.","Kampın saçılması, ışığın tanecik modeline göre açıklanabilen üç olaydan biri olarak kabul ediliyor (diğerleri kara cisim ışıması ve fotoelektrik etki)."]},"beginTime":0,"endTime":119,"href":"/video/preview/7777864822978082502?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=0&ask_summarization=1"},{"index":1,"title":"Kampın Saçılması Süreci","list":{"type":"unordered","items":["Kampın saçılmasında, yüksek enerjili X-ışınları (fotonlar) karbon atomunun serbest elektronlarına çarpıyor.","Çarpışma sonucunda, fotonlar ve elektronlar farklı yönlerde saçılmaya başlıyor.","Kampın yaptığı çalışmada, gelen fotonun doğrultusuyla saçılan fotonun doğrultusu arasındaki açıyı (saçılma açısı) bulmayı başarmış."]},"beginTime":119,"endTime":201,"href":"/video/preview/7777864822978082502?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=119&ask_summarization=1"},{"index":2,"title":"Kamp Çarpışmasının Özellikleri","list":{"type":"unordered","items":["Kamp çarpışması esnektir ve enerji korunur.","Saçılan fotonlar aynı düzlemdedir ve momentum korunur.","Saçılan fotonun hızı (ışık hızı) değişmez, sabit kalır."]},"beginTime":201,"endTime":304,"href":"/video/preview/7777864822978082502?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=201&ask_summarization=1"},{"index":3,"title":"Enerji ve Dalga Boyu İlişkisi","list":{"type":"unordered","items":["Gelen fotonun enerjisi (hf) saçılan fotonun enerjisine (hü) ve elektrona aktarılan enerjiye eşittir.","Saçılan fotonun frekansı gelen fotonun frekansından daha küçüktür.","Frekans azalması nedeniyle saçılan fotonun dalga boyu gelen fotonun dalga boyundan daha büyüktür."]},"beginTime":304,"endTime":512,"href":"/video/preview/7777864822978082502?parent-reqid=1775140806425455-16407504864480144292-balancer-l7leveler-kubr-yp-vla-94-BAL&text=CompTon310M&t=304&ask_summarization=1"},{"index":4,"title":"Momentum Korunumu","list":{"type":"unordered","items":["Momentum korunumu, olay öncesindeki momentumun olay sonrasındaki momentumların toplamına eşit olduğunu gösterir.","Momentum vektörel olarak toplanır ve olay sonrası fotonun momentumu ile elektronun momentumunun toplamı, olay öncesindeki gelen fotonun momentumuna eşittir.","Momentum bileşenleri ayrı ayrı incelenebilir; x ve y eksenlerindeki bileşenler ayrı ayrı 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