sciencecapsules

                Is  it ? yes.      Let us say,  long long ago Socrates  took a cupful of water from sea-shore and washed his face.  Today, you took a cupful of water from the sea near your place and washed  your face.  Have you used any of the water molecules that Socrates used long back?  You may think the chances are highly remote.  But the scientific answer is really surprising. A little calculation: you may skip      The total mass of earth's  oceans = 10ˆ18 metric ton.          or    10ˆ24 grams.      Mass of one water molecule= 3*10ˆ-23 gm. Hence No. of molecules in the ocean = 3* 10ˆ46 Mass of water in a cup = 250 gm. No. of water molecules in a cup =8.3*10ˆ24 No. of cups of water in the oceans = No. of molecules in the oceans/ No. of molecules in a cup                            = 3* 10ˆ46/8.3*10ˆ24                           = 3.6 *10ˆ21 cups      Hence No. of cups in the oceans is far less than no. of water molecules in a cup.  That means, if you draw o

        When x-rays passed into the body, it casts shadow of the bones.  A doctor can read x-ray film and diagnose.  But the body is also made up of soft tissues, nerves, muscles, fluids.  They cannot be detected using x-rays.  The 'magnetic resonance imaging (MRI) gives the full picture.      Our body mostly contains water, we know each water molecule has one oxygen atom and two hydrogen atoms.  Hydrogen atom is nothing but a single proton.  So each water molecule has two single protons. Proton is positively charged and spins like earth and moon.  When a charge spins, it acts like piece of magnet.  Hence each water molecule is a magnet.  (or 2 magnets) .  These magnets are oriented in various directions normally.      A patient is put inside the MRI machine and a strong magnetic field is applied to the body.  This field is a thousand times powerful than that of a fridge magnet.  (Remember, no magnetic substance like keys, coins are allowed inside the MRI room).  Now all t

      Plastic is a wonder material  It is versatile, highly useful and is everywhere.  We cannot think of modern life without plastic.      It is easy to dismiss plastic as cheap and nasty material that wreck the planet.  But if you look around, the reality is different.  If you want cars, toys, replacement body parts, medical adhesives, paints, computers, water pipes, fiber-optic cables, and a million other things,  You will need plastics as well.  You cannot wish away the plastic.  We have to smartly live with it.      What is plastic?  Consider one ethane molecule.  It is just made up of 2 carbon atoms and 4 hydrogen atoms.  We can call it as a 'Monomer'.  Suppose, we  join number of ethane molecules as a chain, we get a big molecule of 'polythene'.  It is a polymer and the process is polymerization.  If  a number of chained molecules are combined together, we get 'plastic'.  Polymer is  like a train of many wagons of carbon.  Polymer is based on

     Take a piece of rubber.  Stretch it.  It will elongate lengthwise but will contract breadth wise.  Now compress it.  It gets shortened length wise.  But stretches breadth-wise.  Rubber is said to have 'positive poisson's ratio'. \      Suppose, we use rubber cork with wine bottle.  When we press it into the mouth of the bottle, it will expand sideways.  It may not go inside.  It may even break the neck of the bottle.  The wooden cork has 'zero poison's ratio'.  That means, forces causes no effect in it.  Hence, we can easily close and open the bottle with it.      There are some materials with negative poison's ratio.  They are called "auxetic material".  They have special structures as shown in the figure.  Hence, their behavior is exactly opposite to that of the rubber.  When stretched, they elongate on both sides.  When compressed, they are shortened on both sides (length, breadth).  Hence, they withstand strong force an

         Draw a straight line. Remove the middle one-third and draw the two segments of line again. In each segment, remove the middle one-third portion again, and draw the four pieces of the line below it. Just go on repeating the process. We finally get the dust of points.      The first line is having the dimension one. The next segments of lines have a dimension less than 1 because they do not occupy the entire line fully. This pattern has only fractional dimension and hence it is called 'fractal'.       Imagine, the length of the first line is marked as in the scale from 0 to 1 in fractions. When the middle portion is cut off, the ends of two segments must have the marking 0 - 1/3 and 2/3 -1. When the two segments are redrawn by applying the same rule, the marking at the ends of the four segments is 0 -1/9, 2/9-1/3, 2/3 - 7/9 and 8/9 - 1. The process can be repeated without end. We get a set of numbers called 'cantor set'. Here we learn that between 0 an

         We have a football field, a field of valleys and hills.  What exactly a field is ?  It can be thought as a area containing many, many points.  Each point may have a value like its height, its  temperature, its greenness etc.      Consider an LED lamp.  There is field of light around it.  But, this is 3-dimensional field unlike surface area.  The light is very bright close to the bulb and the light fads away with the distance.  This kind of fields always follow 'inverse square law'.  It says that the decrease in intensity (of light) is proportional to the square of the distance.  Our eyes can sense the light.  If you put any light sensitive-device in this field, it will be activated, example - light powered calculator.     Now consider a magnet, there is a magnetic field around it similar to the light field.  But it is not visible.  Only another magnet can sense it.  If you put iron pins in the field, it will be attracted. A  compass will be disturbed by the fi

      Let us recollect the binary system of numbers.             binary      0 - 0      1 - 1      2 - 10      3 - 11      4 - 100   and so on.      Hence all numbers can be represented in 1 s and 0 s.      Let us now come to four fundamental operations.      4 * 2= 8, that is adding 2, 4 times gives 8.  Hence multiplication is the repeated addition.      8/2 = 4, you can subtract 2, four times in 8.  Hence division is the repeated subtraction.      Now, we are left with only two operations '+' and '-" .      Even subtraction can be done through addition.  Let us see now.  To subtract 6  from 8, take the 10's compliment of 6.  Subtract 6 from 10 and get 4 which is 10's compliment .  Now add 8 and 4 to get 12.  Drop the carry 1 in 12 and get 2.  That is answer of 8-6 =2.      Taking compliment in binary system is easy.  0 is 1's compliment and 1  is 0's compliment.      Finally, we are left with only one mathematical operation "

        We assume that we know everything about the elementary concept "acceleration".  But there is more to know.       Definition:  Whenever a body undergoes change in speed or change in direction, it said to be "accelerating".      We know, if any body falls freely, its speed will increase by 9.8m/s^ 2 for every second due to earth's gravity and it is denoted by the symbol ' g '.  Also, we can say, if a body experiences 9.8 m/sˆ 2 acceleration, it is acted upon by 'one g ' force.      If you plop down on a chair, you will experience up to 10 g force for a brief time.      Even your sneeze will put you in a '2.5g ' force.  In a thrill ride of roller coaster, we experience 'high g ' for a very brief time.  There are 'human centrifuge' which creates 'high g ' by spinning fast. pilots and astronauts are trained to experience 'high g ' in these centrifuges.      When a car crashes, i

    DIGIT SUM:     We should know first, what is digit sum?                               Take 81245.  Add all digits.                               8+1+2+4+5 = 20  Again add 2+0 = 2.  Hence 2 is the digit sum of 81245.  By repeatedly adding digits; till we reach a single digit, we get digit - sum. Note :  In a number, we can ignore 'nines' and the digits which add up to nine.  They will not have any effect on the calculation of digit-sum.      For example; in 7295, 7,2 and 9 can be ignored, and the digit-sum is just 5.      In usual method  7+2+9+5 =23=2+3=5, Also we get 5.      To verify multiplication       7195*4321 = 31089595      Find the digit-sum of each of the above numbers      4 * 1 = 4      Hence verified.  So the rule is; 'The digit-sum of the multiplicand when multiplied with the digit-sum of the multiplier should equal to the digit-sum of the product'. TO VERIFY DIVISION      5046/42 = 120; REMINDER 6 , WE KNOW 5046 = 120*42 +6    

      We usually talk about the three phases of matter, solid, liquid and gas.  But there are two more phases with which we are not very much familiar.      Let us take water for example.  Water is made up of H 2 o molecules.  The hydrogen atoms are slightly positive.  The oxygen atom is more negative.  There is attraction between negative oxygen of one molecule and positive hydrogen of another molecule. It is called hydrogen bonding.  Hence there is adhesive force between molecules.  That is why they cling together as drops, as fluid or as ice.      When we supply heat energy to the water, its temperature increases.  And the molecules moves randomly and vigorously due to thermal energy.      When we cool down the water, the motions slow down.  The molecules stick together more closely and become ice, that is solid.  Hence matters move into solid phase, if the temperature is lowered.      If the temperature is increased, the molecules of ice, set into vibrations or random

          The Japanese art of paper folding is called origami.  It has moved from entertainment to science.  It is math in action.  One can make a bird, a frog, a sailboat or complicated and intricate objects.      In 1970, Japanese astrophysicist Korya Miura invented his Miura map fold method.  Very large maps are folded and unfolded using his technique.  Here one shape is repeated over and over, with no gaps.  Normally crease pattern is a 'tiling of parallelograms'.  It opens and close very easily.      The crease pattern on the paper is the blue print of the origami object.  A crease creates a valley or a mountain in the paper.  Origami follows certain math laws. 1. Colorobility      One can colour any crease pattern with just two colours without ever having the same colour meeting". 2. Directions of fold:         The directions of the folds at any vertex (corner) - the number of mountain folds, the number of valley folds -always differs by two. 3. No

           We all know water is made up of H 2 O molecule.  The molecule is 'V' shaped; oxygen at the vertex and two hydrogen at the edges.  The oxygen has more electrons (16).  Hence the molecules is more negative on oxygen side and slightly positive on hydrogen side.  We say, this molecule acts like electric dipole.  Hence there is attraction between oxygen of one molecule and hydrogen of another molecule.  We call this attraction as "hydrogen bonding".  Because of the hydrogen bonding, the molecules cling together as droplets, drops , liquid,  ice, ice crystals.      Top surface of the water in a container is called free-surface.  Above the free-surface -No forces.  But below the free surface, there are attractive forces due to hydrogen bonding.  Hence top surface is pulled inwards and looks curved.  All the water surfaces are always under tension.  If you jump into a big well containing water, you will feel pain in the chest due to surface tension(here the