Skip to main content

चार महीने का बच्चा कैसे बना अरब़पति

चार महीने का बच्चा कैसे बना अरब़पति? जन्म के सिर्फ चार माह बाद यदि कोई बच्चा अरबपति बन जाए तो इसे उसकी किस्मत ही कहेंगे। भारत के एकाग्रह रोहन मूर्ति नाम के बच्चे की किस्मत कुछ इसी प्रकार चमकी है। देश की दूसरी सबसे बड़ी आइटी कम्पनी इंफोसिस के फाउंडर नारायण मूर्ति ने सोमवार अपने चार महीने के पोते एकाग्रह मूर्ति को 240 करोड़ रूपए के शेयरों की हिस्सेदारी का तोहफा देकर उसे शायद देश का सबसे कम उम्र का अरबपति बना दिया है। BSE की फाइलिंग के अनुसार इंफोसिस में अब एकाग्रह रोहन की 15 लाख शेयरों की हिस्सेदारी हो गई है। इसका मतलब अब एकाग्रह रोहन इंफोसिस का 0.04% का हिस्सेदार है। शेयरों के स्थानान्तरण के बाद नारायण मूर्ति के पास कम्पनी के कुल शेयरों का 0.36% हिस्सा बचा है। जिस समय नारायण मूर्ति द्वारा अपने पोते को शेयर देने की खबर बाई उस समय इंफोसिस के शेयरों में गिरावट देखने को मिल रही थी। एकाग्रह रोहन, नारायण मूर्ति तथा सुधा मूर्ति के बेट रोहन मूर्ति और उनकी पत्नि अर्पणा कृष्णन का बेटा है। आपको यह पता होगा कि नोरायण मूर्ति ने अपनी पत्नि सुधा मूर्ति से 10 हजार रूपए उधार लेकर 1981 में इंफोसिस क

Kinetic theory of gas and Pressure of an ideal gas | L-1 | Thermodynamics

Kinetic theory of gas and Pressure of an ideal gas

Postulates of kinetic theory of gases

  • A gas is made of tiny invisible, perfectly elastic particles. These particles are known as molecules.
  • All the molecules of a pure gas are identical and they move continuously in all possible directions with all possible velocities.
  • The gas exerts a pressure on the walls of chamber in which it is filled.
  • The gaseous molecules collide with each other continuously and they traverse a straight line path between any two successive collisions.
  • The size of the molecules is infinitely small as compared to the distance traversed by the molecules in between any two successive collisions.
  • The collisions are instantaneous and there is no loss of kinetic energy in the collisions.
  • The molecules exert no force on each other, except when they collide, and the whole molecular energy is kinetic.
  • The volume of the gaseous molecules is negligible in comparison to the volume of the vessel in which gas is filled.
  • The intermolecular distance in a gas is very large, so the molecules are free to move in the entire space available to them.

Mean free path

  • The distance between any two successive collision is free path, and the mean of these free paths is mean free path.

Pressure of an ideal gas

  • Let the components of c1 in X, Y and Z directions are u1, v1 and w1 respectively.

  • Let the molecules strikes the wall ABCD with velocity u1
  • The momentum of the molecule along X-direction = mu1
  • Since the molecules and the walls are perfectly elastic, so during collision the velocity of the particles does not change, only its direction reverses.
  • The momentum of the molecule along X-direction after collisions = – mu1
  • Therefore the change in momentum during one collision = mu1 – (mu1) = 2mu1
  • The molecule traverse 2l distance with the velocity u1, before striking again to the same wall ABCD.
  • So, the time taken by molecule between two successive collisions with the walls ABCD = 2l / u1
  • Now, the number of collisions per second with the walls ABCD = u/ 2l
  • The change in momentum per second due to collision of this molecule with the wall ABCD = 2mu1 × (u/ 2l) = mu1l
  • The net change in momentum per second due to all the n molecules striking the face ABCD, dp/dt = mu1l + mu2l + mu3l + ... + mun/ l = (m / l ) Σu2
  • According to Newton's second law force F = dp/dt
  • Force exerted by gas on the face ABCD of the vessel = (m / l ) Σu2
  • If A is the area, then the pressure P = F/A
  • Pressure on the wall ABCD,   Px = (m / l ) Σu2 × (1 / l2) = (m / l3) Σu2
  • Since volume of chamber,   V = l3
  • ∴     Px = (m / V) Σu2
  • Similarly  Py = (m / V) Σv2     and     Pz = (m / V) Σw2
  • If the size of cube is very small, Px = Py =Pz = P
  • ∴     3P = (m / V) Σ (u2 + v2 + w2)
  • or    P = (m / 3V) Σ (u2 + v2 + w2)
  • ∵     c= u2 + v2 + w2)
  • ∴     P = (m / 3V) Σ c2 

Comments

Popular posts from this blog

Electric field due to circular loop of charge | Electromagnetics

Electric field due to circular loop of charge Electric field The space around a charged particle in which another charge experience a force is known as electric field. The source of electric field is either a charge or a time varying magnetic field. If the value of electric field does not change with time, then it will be uniform electric field, otherwise it will be non-uniform electric field. Electric field due to circular loop of charge If λ is linear charge density, then the charge on d l dq = λ d l      ⇒     dq = (q / 2πa) d l Electric field at P due to charge dq Special cases When P lies at the centre of the loop i. e., r = 0, then E = 0 When P lies very far from the centre of the loop i. e., r >> a, then E = kq / r 2 In this case circular loop behaves as a point charge. To know more about this topic please click on the link  https://youtu.be/54MIe0Ow43w   or   https://youtu.be/9bR1LfbVrGw

Constraints | Classification and Properties of constraints | Classical mechanics

Constraints and its classification Constraints force Constraints are restrictions that limit the motion of the particles of a system. Physically constrained motion is realized by the forces which arise when the object in motion is in contact with the constraining surfaces or curves. These forces are called constraint forces. Properties of constraints force They are elastic in nature and appear at the surface of contact. They are so strong that they barely allow the body under consideration to deviate even slightly from a prescribed path or surface. This prescribed path or surface is called a constraint. The effect of constraint force is to keep the constraint relations satisfied. Classification of constraints           Scleronomic and Rheonomic This classification is based on time. The constraints are said to be scleronomic constraints, if the constraint relations do not explicitly depend on time. But if the constraint relations explicitly depend on ti

Advantage and Disadvantage of Power Electronics

Advantage and Disadvantage of Power Electronics Advantage of Power electronics Power electronics is used in space shuttle power supplies Since there is very low loss in power electronic devices so its efficiency is very high. Power electronic converter systems are highly reliable. Since there is no moving parts in power electronic systems so it has long life and also its maintenance cost is very less. The power electronic systems has fast dynamic response in comparison to electromechanical converter systems. Since the power electronic system has small size and also it has less weight so they occupy less floor space and hence their installation cost is also less. Now these days power equipments are being mostly used, so power semiconductor devices are being produced on a large scale, resulting in lower cost of converter equipment. Power electronics are used in computer and office equipments. It is used in uninterruptible power supplies. Power

Adesterra