A particle that defies classical mechanics ! 1

A photon has no mass but energy and it has speed and it has momentum although it does not have mass. Thats impossible in Classical Mechanics. Because Classical Mechanics associates with every mass; momentum and kinetic and potential energy. All those would be zero if mass were to be zero.

Also the speed of the photon is constant while its energy and momentum are changing. This is unimaginable in classical mechanics. In CM first momentum can’t be defined from mass and speed if mass is zero, then while speed is not changing how is momentum changing? So both variables speed and mass fail to define a momentum for the photon, and not just the failure to have a mass. How then momentum is defined for this particle? Its not defined as long as photon is just a particle. Thats impossible. More…

A step toward Higher Education? Reply

Here is the summary. And I am quoting actual numbers from News Paper Reports.

News Report; 5% Odisha Resident students. [Including perhaps those also who would be Odia by their citizenship, irrespective of where they stay]

My estimate; a typical 10% general category students, going by how large the quota regime entails in terms of percentage toward quota qualifiers.

News Paper Report; Lying vacant per anum, 10%.

My reasoning; if there would be no quota based qualification system perhaps these seats would never lay vacant, plus we would have far superior engineers produced in the country. Because the 3-levels of quota scrutiny sees the merit off to such a level even 10% seats lay vacant, at the same level that gets admitted after fierce scrutiny. More…

What is it like to be in an Ivy League. Just a musing. Reply

The other aspect is from my own experience, while you are highly qualified, you are perhaps no more pouring in as much as even you would like to pour in, in terms of real research. You or your employers don’t want you to go into controversies, because they drain you out of wit and the employer runs into razor sharp issues. The Ivy Leagues have the “requisite infrastructure” which is cutting edge in a way preconceived notion kind of way. It really does not open the actual researchers to the issues involved in fundamental thinking. And sooner or later we all the highly intellectual kind belong to a level where we see our wit’s end. It takes the highly competitive experience of figuring out what exactly the Ivy League want from you for you and them to be successful lest which they are subjected to competitive and often no so harmless scrutiny from even tiny rats. More…

An interesting problem in elementary mechanics. Reply

Here is a problem on mechanics.

Problem; Two particles move in a uniform gravitational field with an acceleration g. AT the initial moment the particles were located at one point and moved with velocities v1=3.0 m/s and v2=4.0 m/s horizontally in opposite directions. Find the distance between the particles at the moment when their velocity vectors become mutually perpendicular.

Here is my ans. (Got to fig. it out in a concise way after scribbling through pages unsuccessfully. )

An interesting problem in mechanics

An interesting problem in mechanics

Ideas that changed our notion about the Universe. Reply

1. Aristotle Fallacy; A notion that objects need force for their movement. It contradicts the idea of inertia. Newton corrected this by introducing the first law, things continue in their state of motion, a quality called as inertia, without requiring force and the motion changes due to application of force.

2. Earth is flat; that there is a boundary where you fall off its edge. [I am not going to explain or tell you how and when we found this was a horrendously hilarious and misleading notion we had. But it might have been used in the past by parents to discipline their teen-age kids. Don't go out, you will fall off earth. That would have kept them in check.]

3. Rotational Dynamics; Earth is accelerating in a near circle in addition to about itself, so additional forces are acting that changes our observation about the world. Newton tried to understand this (not successful) in his last days, by rotating a bucket full of water, his laws could not explain the effects observed. His laws needed to be modified slightly. The same thing makes objects feel weightless by a given amount if they are accelerating towards a gravitational field (eg merry go round, satellites) This is the basis of many works of Einstein. First came Mach’s Principle which says observations made from objects that are accelerating in circular paths are to be corrected by fixing frames of references to stars that are so far away that the rotational motion is neglected. [if you shake your head while looking at stars and shake your head by looking at nearby objects such as a light post, evidently the light post shakes more and the stars less]. This helps in correcting observed phenomena from earth. Earth moves at 30 kms/second wrt sun … More…