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खनन और खनिज उद्योगों में पर्यावरणीय स्थिरता विषय पर विशेषज्ञों का मंथन

खनन और खनिज उद्योगों में पर्यावरणीय स्थिरता  विषय पर विशेषज्ञों का मंथन पर्यावरणीय स्थिरता मानव समाज के निरन्तर अस्तित्व, समृद्धि और स्वास्थ्य के लिए मूलभूत शर्त है। हमारी न्यू जनरेशन को स्पीड और टेक्नोलॉजी पर ध्यान केंद्रित करना होगा ताकि भविष्य को सुनहरा बनाया जा सके। उक्त विचार मुख्य अतिथि श्री एमपी सिंह, प्रधान मुख्य अभियंता, केंद्रीय विद्युत प्राधिकरण विद्युत मंत्रालय भारत सरकार, नई दिल्ली ने व्यक्त किए श्री सिंह भूपाल नोबल्स स्नातकोत्तर महाविद्यालय में भूविज्ञान विभाग द्वारा "खनन और खनिज उद्योगों में पर्यावरणीय स्थिरता" विषय पर आयोजित दो दिवसीय राष्ट्रीय कॉन्फ्रेंस के समापन पर बोल रहे थे। दो दिवसीय राष्ट्रीय कान्फ्रेंस का भव्य समापन सम्मानित अतिथि प्रो विनोद अग्रवाल सदस्य, भारत सरकार नई दिल्ली स्थित MOEFCC की विशेषज्ञ मूल्यांकन समिति, (सि एण्ड टीपी) अपने उद्बोधन में कहा कि पर्यावरण स्थिरता सरकार और समाज दोनों की जिम्मेदारी है। वर्तमान में खनन उद्योग विभिन्न प्रावधानों एवं कानूनों के तहत कार्य कर रहा है ताकि पर्यावरण को सुरक्षित रखा जा सके। आयोजन सचिव डॉ. हेमंत सेन न...

Abbe’s sine condition | Optics

Abbe’s sine condition

Sign convention

For axial or longitudinal distance

  • The distances measured along optic axis or parallel to optic axis are known as axial or longitudinal distance.
  • All the distances measured in the direction of incident ray from optical centre O are taken as positive, and all the distances measured in the direction opposite to the incident ray are taken as negative.

For transverse or lateral distance

  • All the distances measured perpendicular to the optic axis are known as transverse or lateral distances.
  • The transverse distances above the optic axis are taken as positive and the transverse distances below the optic axis are taken as negative.

For angles

  • The angles measured in anticlockwise direction with optic axis are measured as positive, and the angles measured in clockwise directions are measured as negative.
  • ∠ θ1 is negative, and ∠θ2 is positive.

            Note

    • All the longitudinal distances should be measured from optical centre, and all the lateral distances should be measured from optic axis.


      Abbe’s sine condition

    • By using sign convention
    • h1 and v are positive.
    • h2 and u are negative
    • θ1 and i are positive, and θ2 is negative.
    • From △CNM and △CN՛M
    ՛
    • By using sine law in △ANC

    • By using sine law in △AN՛C
    • This is Abbe's since condition.
    • This relation is valid for all the values of θ1 and θ2.
    • In this way a point N on axis imaged as N՛ on the axis by refraction from the surface XY.
    • A surface which does so, is known as aplantic surface, and this surface is used in objectives of microscopes.
    • If aperture of the refracting surface is very small, then θ1 and θ2 will be very small.
    • ∴   sin θ1 ≈ tan θ1 and sin θ2 ≈ tan θ2
    • µ1h1 tan θ1 = µ2h2 tan θ2
    • This is Lagrange’s equation.
    • Also if the values of θ1 and θ2 are very small, then tan θ1 ≈ θ1 and tan θ2 ≈ θ2
    • µ1h1 θ1 = µ2h2 θ2
    • This is Helmholtz equation.

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