DRUNKARDS WALK AND TEA BAG

Long long ago, a botanist by name Robert brown took a little water; put some pollen particles in it; observed them through microscope. To his surprise, the pollen particle jerked around, as if they were alive.
Later investigations gave more information.

1. Water molecules are always in random motion due to thermal energy.
2. Even though, a pollen particles is hundreds of time bigger than a water molecule, a group of water molecules hit it here and there, now and then. Hence pollen particles move randomly as if stroked by a bat. This motion is called Brownian motion.

Brownian motion proved that the matter is made up of molecules and atoms.

When the tea bag is put in a hot water, the tea-particles pushed in the same way by the hot water molecules. Hence the tea diffuse through the water or milk. It is clearly visible without microscope.

Smoke particles diffusing through the atmosphere and dust particles moving randomly in the air(seen in a beam of light) are good examples of Brownian motion.
A drunkard's random walk is always compared to Brownian motion. Today people found similarities between stock prices and Random motion.

The growth of trees; formation of clouds; coastal lines; hills; the rise of smoke; the flow of rivers all random dance of nature. They create object called "fractals" - fractional dimensional object.

Some say, all events in this world are random and the God play dice!!
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THE EARTH, A SUPER ORGANISM

JOIN MY COURSE: "Become a programmer in a day with python" A man called 'love lock' (what a name) proposed a theory called Gaia theory, named after Greek Goddess. It says, "Earth is a self-regulating organism like a human being. The organic life in it interacts with in-organic matter and maintains atmosphere, temperature and environment". Hence the earth is still suitable for the life to thrive. Imagine, in a particular place, there are lot of flowers. Some flowers are white and some are darkly coloured. We know, white reflects light and heat while dark absorbs the same. White flowers can thrive in hot climate. But dark flowers requires cold climate. The absorption and reflection balances and the environment reaches average, warm temperature at which both the flowers can co-exist. This is the essence of "Gaia" theory. On our earth, ...

THE PARABOLA

A jet of water shooting from a hose pipe will follow a parabolic path. What is the so special about parabola. Y= x^2 Draw a graph for the above equation. It will result in a parabola. This parabola is also called unit parabola. Any equation involving square will yield a parabola. Example: Y = 2x^2 +3x+3 (also called quadratic equation) X= 2 and -2, both satisfies the equation 4 = X^2. Parabolic equations always have two solutions. Any motion taking place freely under gravity follows parabolic path. Examples: An object dropped from a moving train, A bomb dropped from flying plane, A ball kicked upwards. If a beam of light rays fall on the parabolic shaped mirror, they will be reflected and brought to focus on a point. This fact is made use of in Dish Antenna, Telescope mirrors, etc. ...

DISORDER IS THE "ORDER OF THE DAY"

Imagine a balloon full of air. The air molecules are moving randomly inside the balloon. Let us pierce the balloon with a pin. The air rushes out. Why should not the air molecules stay inside the balloon safely and ignore the little hole? That is not the way the world works. The molecules always "want to occupy as many states as possible". Hence the air goes out in the open to occupy more volume. The things always goes into disorder (entropy) and the disorder increases with time. The above statement is what we call "second law of thermodynamics". Consider a cup of coffee on the table. Suppose the heat from entire room flows to your cup of coffee, the coffee will boil and the rest of the room will freeze. Freezing means bringing things to order and arrangement. It violates the second law. Hence it will never happen. Hence heat must flow from high ...

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