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Ayrıca, parçacık akısı kavramı, katı açı aralığına düşen parçacık sayısını hesaplama ve radar saçılması örneği üzerinden diferansiyel tesir kesiti grafiği çizimi de videoda yer almaktadır."]},"endTime":2838,"title":"Rutherford Saçılma Tesiri Fizik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Rutherford Saçılma ve Kafa Kafaya Çarpışma","list":{"type":"unordered","items":["Rutherford saçılma teorisinde, alfa parçacığı bir çekirdekle (örneğin altın çekirdeği) etkileşime girer ve saçılır.","Altın çekirdeğinde 79 proton ve 118 nötron bulunur, toplam kütle sayısı 197'dir.","Kafa kafaya çarpışmada, alfa parçacığının çekirdeğe yaklaşabileceği minimum uzaklık (d) hesaplanabilir."]},"beginTime":6,"endTime":98,"href":"/video/preview/9960575255603225109?parent-reqid=1774062621983435-2459586489250551335-balancer-l7leveler-kubr-yp-klg-141-BAL&text=Macrolith+Applications&t=6&ask_summarization=1"},{"index":1,"title":"Kafa Kafaya Çarpışma 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formülüyle hesaplanabilir ve bunu d ile temsil eder."]},"beginTime":226,"endTime":338,"href":"/video/preview/9960575255603225109?parent-reqid=1774062621983435-2459586489250551335-balancer-l7leveler-kubr-yp-klg-141-BAL&text=Macrolith+Applications&t=226&ask_summarization=1"},{"index":3,"title":"Saçılma Parametresi","list":{"type":"unordered","items":["Kafa kafaya çarpışma çok az meydana gelir, daha sık görülen saçılma türü alfa parçacığın çekirdeğin geniş doğrultusunda bir uzaklıkla gelmesidir.","Bu uzaklık b ile gösterilir ve saçılma parametresi veya etki parametresi olarak adlandırılır.","b ile saçılma açısı (θ) arasında sıkı bir ilişki vardır; b küçüldükçe θ artar, b arttıkça θ azalır."]},"beginTime":338,"endTime":471,"href":"/video/preview/9960575255603225109?parent-reqid=1774062621983435-2459586489250551335-balancer-l7leveler-kubr-yp-klg-141-BAL&text=Macrolith+Applications&t=338&ask_summarization=1"},{"index":4,"title":"Alfa Parçacığının Atomla Etkileşimi","list":{"type":"unordered","items":["Atomun çoğu boşluklardan oluşur, alfa parçacığı geldiği zaman bu saçılmaya uğrar.","Alfa parçacığı elektronlarla etkileşir ancak elektronların kütlesi çok küçük olduğu için etkisi azdır.","Altın folyonun çok ince olması, çoklu etkileşimin etkisini azaltır."]},"beginTime":471,"endTime":611,"href":"/video/preview/9960575255603225109?parent-reqid=1774062621983435-2459586489250551335-balancer-l7leveler-kubr-yp-klg-141-BAL&text=Macrolith+Applications&t=471&ask_summarization=1"},{"index":5,"title":"Momentum Değişimi","list":{"type":"unordered","items":["Saçılma esnek olduğundan, gelen parçacığın momentumu p₁, saçılan parçacığın momentumu p₂ olarak gösterilir.","p₁ ve p₂ vektörlerinin büyüklükleri eşittir, sadece yönleri değişir.","Momentumun sadece yönünün değişmesi, vektörün değişmesi için yeterlidir ve bu değişiklik Δp ile gösterilir."]},"beginTime":611,"endTime":692,"href":"/video/preview/9960575255603225109?parent-reqid=1774062621983435-2459586489250551335-balancer-l7leveler-kubr-yp-klg-141-BAL&text=Macrolith+Applications&t=611&ask_summarization=1"},{"index":6,"title":"Geometri ve Saçılma Açısı","list":{"type":"unordered","items":["B küçüldükçe teta açısı artar ve B=0 olduğunda kafa kafaya çarpışma olur, saçılma açısı 180 derece olur.","Saçılma açısı teta ise, vektörlerin büyüklükleri birbirine eşit olduğu için açılar arasında 180-2teta ilişkisi vardır.","Delta p momentum değişimini hesaplamak için sinüs teoremi kullanılır: Δp/sin(teta) = p/sin(π/2-teta/2)."]},"beginTime":700,"endTime":875,"href":"/video/preview/9960575255603225109?parent-reqid=1774062621983435-2459586489250551335-balancer-l7leveler-kubr-yp-klg-141-BAL&text=Macrolith+Applications&t=700&ask_summarization=1"},{"index":7,"title":"Trigonometri Formülleri","list":{"type":"unordered","items":["Trigonometri birkaç temel formülle özetlenebilir, hocalar genellikle bu temel formülleri göstermezler.","Euler formülü: e^(iθ) = cos(θ) + i*sin(θ) kullanılarak trigonometrik bağıntılar türetilebilir.","Sinüs ve kosinüs toplam formülleri: sin(α+β) = sin(α)cos(β) + cos(α)sin(β) ve cos(α+β) = cos(α)cos(β) - sin(α)sin(β)."]},"beginTime":875,"endTime":1251,"href":"/video/preview/9960575255603225109?parent-reqid=1774062621983435-2459586489250551335-balancer-l7leveler-kubr-yp-klg-141-BAL&text=Macrolith+Applications&t=875&ask_summarization=1"},{"index":8,"title":"Momentum Değişimi ve Kuvvet İlişkisi","list":{"type":"unordered","items":["Newton'un ikinci yasası vektörel olarak: ΣF = dp/dt, momentum değişimini hesaplamak için integral alınır.","Kuvvet vektörel olduğu için momentum değişimini hesaplamak için kuvvetin momentum yönündeki bileşeni alınmalıdır.","Kulon kuvveti merkezcil bir kuvvettir ve açısal momentumu korur."]},"beginTime":1251,"endTime":1564,"href":"/video/preview/9960575255603225109?parent-reqid=1774062621983435-2459586489250551335-balancer-l7leveler-kubr-yp-klg-141-BAL&text=Macrolith+Applications&t=1251&ask_summarization=1"},{"index":9,"title":"Açısal Momentum","list":{"type":"unordered","items":["Eğrisel yörüngedeki bir parçacığın açısal momentumu I_α * r^2 * ω şeklinde ifade edilir.","Açısal momentum, eylemsizlik momenti çarpı açısal hızdır.","İlk baştaki açısal momentum p * b (lineer momentum çarpı referans noktasına olan uzaklık) korunur."]},"beginTime":1564,"endTime":1601,"href":"/video/preview/9960575255603225109?parent-reqid=1774062621983435-2459586489250551335-balancer-l7leveler-kubr-yp-klg-141-BAL&text=Macrolith+Applications&t=1564&ask_summarization=1"},{"index":10,"title":"Etki Parametresi ve Saçılma Açı Arasındaki İlişki","list":{"type":"unordered","items":["Etki parametresi (β) ile saçılma açısı (θ) arasındaki ilişkiyi bulmak için integral yöntemi kullanılıyor.","Δp = pβ/2b · cos(θ/2) formülü Newton'un ikinci yasasından türeden momentum değişimini ifade eder.","Benzer üçgenlerden ve sinüs teoremiyle elde edilen Δp = 2p sin(θ/2) formülü ile Newton'un ikinci yasasından türeden formül eşitlenerek β = 2b cos(θ/2)/sin(θ/2) ilişkisi bulunuyor."]},"beginTime":1612,"endTime":2001,"href":"/video/preview/9960575255603225109?parent-reqid=1774062621983435-2459586489250551335-balancer-l7leveler-kubr-yp-klg-141-BAL&text=Macrolith+Applications&t=1612&ask_summarization=1"},{"index":11,"title":"Etki Parametresi ve Saçılma Açı Arasındaki İlişkinin Türevi","list":{"type":"unordered","items":["β = 2b cot(θ/2) ilişkisinin türevi alınarak db/dθ = -b/2 sin²(θ/2) formülü elde ediliyor.","db/dθ ilişkisinin mutlak değeri alınarak fiziksel anlamlı bir sonuç elde ediliyor çünkü parçacık sayısı negatif olamaz.","β azaldığında θ arttığı için, negatif türev değeri pozitif olarak değerlendiriliyor."]},"beginTime":2001,"endTime":2187,"href":"/video/preview/9960575255603225109?parent-reqid=1774062621983435-2459586489250551335-balancer-l7leveler-kubr-yp-klg-141-BAL&text=Macrolith+Applications&t=2001&ask_summarization=1"},{"index":12,"title":"Parçacık Akısı ve Katı Açı","list":{"type":"unordered","items":["Birim alan başına düşen parçacık sayısına \"akı\" denir ve birim alan 2πb·db olarak hesaplanıyor.","Katı açı (σ) ile σ+dσ arasına düşen parçacık sayısı hesaplanmak isteniyor.","Katı açı aralığı dω = 2π sin(θ) dθ formülüyle ifade ediliyor."]},"beginTime":2187,"endTime":2358,"href":"/video/preview/9960575255603225109?parent-reqid=1774062621983435-2459586489250551335-balancer-l7leveler-kubr-yp-klg-141-BAL&text=Macrolith+Applications&t=2187&ask_summarization=1"},{"index":13,"title":"Diferansiyel Saçılma Tesir Kesiti Tanımı","list":{"type":"unordered","items":["Diferansiyel saçılma tesir kesiti, birim katı açı başına ve birim alana düşen parçacık sayısı olarak tanımlanır.","Matematiksel olarak dσ/dω şeklinde ifade edilir ve birim katı açı başına saçılan ve birim alana düşen parçacık sayısıdır.","Saçılan parçacık sayısı, gelen parçacık akısıyla orantılıdır ve bu orantı katsayısına diferansiyel tesir kesiti denir."]},"beginTime":2360,"endTime":2534,"href":"/video/preview/9960575255603225109?parent-reqid=1774062621983435-2459586489250551335-balancer-l7leveler-kubr-yp-klg-141-BAL&text=Macrolith+Applications&t=2360&ask_summarization=1"},{"index":14,"title":"Diferansiyel Saçılma Tesir Kesiti Formülü","list":{"type":"unordered","items":["Diferansiyel saçılma tesir kesiti formülü dσ/dω = b × d × 4 × dθ / (s² × sin⁴(θ/2)) şeklinde yazılabilir.","Bu formülde σ tesir kesiti, sinüsün dördüncü kuvveti ile ters orantılıdır, bu da radarfor saçılması özelliğinin temelidir.","Grafiğinde saçılma açısına karşı tesir kesiti, açı arttıkça azalır."]},"beginTime":2534,"endTime":2737,"href":"/video/preview/9960575255603225109?parent-reqid=1774062621983435-2459586489250551335-balancer-l7leveler-kubr-yp-klg-141-BAL&text=Macrolith+Applications&t=2534&ask_summarization=1"},{"index":15,"title":"Tesir Kesiti Birimi","list":{"type":"unordered","items":["Tesir kesiti σ'nin birimi metrekaredir çünkü parçacık sayısı birimsiz, birim alan başına düşen sayıdır.","Tesir kesiti birimi genellikle \"bar\" cinsinden ifade edilir ve 1 bar = 10⁻²⁴ santimetrekaredir.","Diferansiyel tesir kesitinin birimi de bar olup, genellikle makalelerde bar cinsinden 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