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Sriman Dutta

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Everything posted by Sriman Dutta

  1. Newton's Law of Universal Gravitation- [math] F = G \frac{mM}{S^2} [/math] Newton's Second Law of Motion- [math] F = ma [/math] Combining them- [math] G \frac{mM}{S^2} = ma [/math] If [math]m[/math] is mass of object falling towards the ground and [math]M[/math] is the mass of the planet, then- [math] a = \frac{GM}{S^2}[/math] If a is the acceleration due to gravity, then- [math] g = \frac{GM}{S^2}[/math] By the equations of motion- [math] S = ut+\frac{1}{2}gt^2 [/math] If the falling body's initial velocity is 0, then the above equation simplifies to- [math] S = \frac{1}{2}gt^2 [/math] Substituting the value of [math]g[/math] in the above equation- [math] S = \frac{1}{2} \frac{GM}{S^2}t^2 [/math] So,- [math] S^3 = \frac{1}{2}GMt^2 [/math]
  2. A photon travels in space-time. The OP asks whether or not the medium (space-time) itself is wave-like thereby creating the wave-like properties of photon. Now, Einstien's GR shows that only massive bodies can warp space-time to create geodesics. As a photon is a massless boson, it can't warp space-time around itself. (N.B.- The medium is space-time and not ether) This logically follows that photons must exhibit wave-like properties by themselves.
  3. Firstly, study the school course nicely. Secondly, learn the different ways how compounds react before attempting to learn synthesis reaction.
  4. 1 mole of a substance weighs 1 gram molecular mass of that substance. So.....Find it out.
  5. Learning is a continuous process. There is no limit to learning, nor there is an age restriction for learning. You can learn as long as you wish to learn.
  6. Turning sense into non-sense is not your work. Inertia is the intrinsic property of massive bodies to resist force. By Newton's definition, F=ma. Here m is the inertial mass. So, m=F/a.
  7. The OP asks for the product for unanswered....You are adding values....It must be product, I think.......Confusing
  8. A theory may be true to some but not true for all. I cite here two examples. Classical electrodynamics work excellent when dealing with real-life practical cases. The Larmor's formula states that any electrically-charged body radiates out power when moving in a circular path. That's perfect. So it is true. But this theory doesn't hold true for situations at the quantum scale. A moving electron, according to the Larmor's formula, should radiate out power and should eventually go spiral round the nucleus and finally collapse with the atomic nucleus. But this never happens. The electrons remain stable in their orbits. This is because of the fact that electrons remain stable as long as they move in their specific orbits (energy levels). So, we conclude that Larmor's formula is true for practical purposes but false for situations at the quantum scale. hence it is not universally true. Similarly, the change in time is almost unnoticable for real-life situations. But, the time dilation is quite substantial for speeds approachable to speed of light. Thus the Galilean relativity is perfect when velocity is very very less than c but is not true for high velocities, if v=90% of c. Hence this is too not a universal theory. All theories depend upon their scale of reference. At a particular scale, a particular theory is consistent and applicable.
  9. Hmmm.....So time dilation is CAUSED by the principle of constancy of speed of light for all observers and is MATHEMATICALLY A FUNCTION of relative velocity of the observer.
  10. The intensity will increase if constructive interference takes place, that is, if the phase difference is in multiples of [math]2\pi[/math]. The intensity will decrease if destructive interference takes place, that is, if the phase difference is in odd multiples of [math]\pi[/math].
  11. Time is the measure of the gap between two distinguishable events.
  12. Time dilation is not a function of relative velocity, from an intuitive point of view, although mathematical formulation shows such relations. Time dilation is caused due to the fact that the speed of light is constant for all observers. Yes. Relativity can be applied in quantum levels also as a moving electron in an orbital.
  13. I'm also a student and I'm preparing myself for the upcoming exam. Here' how I study. First, read the chapter thoroughly and understand it. I emphasize on understanding the core concept rather than mugging it up. Second, underline\highlight the important points. Learning by making points makes it easy to study. Third, learn the whole chapter thoroughly. Memorize the points and the core concept. Lastly, I practice. Practice is the key to get good marks. Lots of practice helps me to refresh my memory.
  14. According to Bohr-Bury rules, an electron shell can have the maximum number of electrons as [math] 2n^2 [/math], where n is the energy level number. Exception is that the outermost valence shell can have not more than 8 electrons and the shell preceding it not more than 18 electrons. If you look at the periodic table, you will notice that this rule preserves the order and regular pattern of the elements.
  15. My vote is my voice, my opinion. Voting is significant in establishing "a government of the people, by the people and for the people."
  16. Indeed 0 is the answer. HINT: The fundamental theorem of calculus states that the definite integral of a function over [a,b] is equal to the difference in the anti-derivatives of the function with values respectively as a and b.
  17. I believe he will not (unless an accident occurs).....Let's wait for the poll results.
  18. WoW koti..... You could have posted it in the Official Poetry Section. ;-)
  19. If this would happen, we need to conclude that the universe is a sphere and there lies a finite limit to it.
  20. No, there's no short way to learn, as a short-cut is often a wrong-cut. But, once you get into chemistry, your brain will automatically memorize these ions' names and formulas.
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