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महाराणा प्रताप ट्रेल सज्जनगढ़ उदयपुर

महाराणा प्रताप ट्रेल सज्जनगढ़ उदयपुर में इको ट्रेल 30 नवम्बर को राजस्थान वन विभाग उदयपुर डिविजन तथा WWF-India उदयपुर डिविजन के सानिध्य में महाराणा प्रताप ट्रेल सज्जनगढ़ उदयपुर में इको ट्रेल की गई, जिसमें WWF-India के स्टेट काॅर्डिनेटर श्रीमान अरूण सोनी तथा वन विभाग कीे ओर से डाॅ. सतीश कुमार शर्मा, सेवानिवृत्त अधिकारी मौजूद थे। मुझे भी इस इको ट्रेल में जाने का सुअवसर प्राप्त हुआ, जो गोरीला व्यू पाॅइंट से बड़ी-लेक व्यू पाॅइंट तक की गई इसमें मुझे विज्ञान की एक नई शाखा के बारे में पता चला, जिसे टट्टी विज्ञान कहा जाता है। सुनने में आपको थोड़ा अजीब लगेगा, मुझे भी सुनकर हैरानी हुई, परन्तु वास्तव में एक ऐसा भी विज्ञान है, जिसके बारे में डाॅ. सतीश शर्मा ने बड़े ही विस्तार पूर्वक बताया कि किस प्रकार वनों में जानवरों की टट्टी देखकर यह पता लगाया जा सकता है कि यहां कौनसा जानवर आया था। जानवरों की टट्टी कितनी पुरानी है, वह गीली है या सूखी है। इसी के आधार पर उस विशेष जंगल में कौन-कौनसे जानवर विचरण करते हैं, उसके बारे में वन विज्ञान के कर्मचारी पता लगा लेते हैं। जानवरों की टट्टी का विश्लेषण करके यह पता लगा...
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Fermi Dirac Statistics

Fermi Dirac Statistics

  • It is applied to Fermions or Fermi particles, i.e. indistinguishable particle with half integral spin.
  • Particles are indistinguishable from each other.
  • Each cell or sublevel may contain 0 or 1 particle i.e., gi,  >> ni
  • Total number of particles of system remain constant, n = Σni  = constant
  • Sum of energies of all the particles in the different groups taken together i.e., total energy of the system remain constant E = Σniεi  = constant

  • Consider a system of n independent identical particles having half integral spin.
  • These particles be divided into quantum groups or levels such that
  • Energy levels    ε1, ε2, ε3, ...εi 
  • Degeneracies    g1, g2, g3, ...gi 
  • Occupation number    n1, n2, n3, ...ni 

  • Consider a box, divide it into gi  sections, distribute ni particles among them.
  • Number of ways to put first particle in any one of the iih  level = gi 
  • Number of ways to put second particle in the remaining (gi  – 1) state = (gi  – 1)
            …     …     …     …     …     …
  • Total number of ways to distribute ni  particles in gi  states = gi (gi  – 1) (gi  – 2) ... (gi – ni + 1)

  • Sterling approximation log x! = x log x – x


    • To know about this lecture in more detail please visit on https://youtu.be/Tap561DKzIw
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