Skip to main content

SOUND YOU CANNOT HEAR BUT SEE

   

         We know, vibrations produce sound.  When a bell is stroked; it vibrates; creates air pressure waves; reaches our ear; vibrates air drum; and we perceive the sound.  Every object vibrates with its own frequency (no. of vibrations per second).  Our ear is designed to hear the frequency range 20-20000 cycles per second.  If the sound frequency is above 20000 cycles, it is called ultrasound.  Some animal can hear ultrasound but we can not.  People have found many uses for the ultrasound.  First, how to produce such a high frequency sound.
     Here the quartz crystal comes to our help.  It is 'silicon oxide'.  Positive and negative charges are evenly distributed in it.  So it is electrically neutral.  But if we press that crystal, the charges are displaced; positive charges move to one side; negative charges move to another side; electrical field is created; a voltage develops.  If we connect the two sides of quartz externally, current (electrons) will flow.  Hence, using mechanical force, electrical current is produced.  This is called 'Piezo effect'.
     "Reverse piezo effect" is also possible.  That is , by giving suitable voltage to the crystal, we can compress the silicon oxide crystal.  Suppose, we give oscillatory electric voltage, the crystal will vibrate according to the frequency of voltage. That is we have produced mechanical vibrations using electricity. And if the frequency is above 20 k cycles, the crystal will produce ultrasonic waves or sound.  Now we have a source of ultrasonic sound.  We will see one of the uses.

SONOGRAM
     Say, we want to check the health of the baby in the mother's womb.  The ultrasonic waves are sent to the womb.  The waves pass easily through body fluids.  But stopped and reflected (echoed)by body organs. The echoed waves are received by the machine.  The received waves are analyzed by the software in the machine.  The software interprets the 'time of travel' and 'strength' of the echo-waves and output a fine picture of the organs called sonogram.  Heart is also analyzed using 'echo' method.  So we, 'see' the ultrasound and not hear it.
     Ultrasound is just a pressure wave in the fluid(air, liquid).  It is not a harmful  like x-ray.  So it is safe for the unborn child.

FOOT NOTE: Gas lighter also works using quartz crystal.  We press it, crystal get pressed.  Electrical voltage is produced.  When the current flow to the outer metal body, an electric spark is emitted.  It lights up the gas.  It is micro lightening.  No battery is required.
     Quartz crystal -another wonder material.   
------------------------------------------------------------------------------------------------- 

Comments

Popular posts from this blog

LISSAJOUS FIGURES

  Definition:  "When a particle is subjected to two sine wave motion or two oscillatory motion at right angles, the particle describes lissajous figures".      We know sine wave motion and circular motion is basically same.  Hence we draw two circles A and B perpendicular to each other.  The circle B rotates twice faster than circle A.  That is, frequency of circle B is two times than that of A.        A particle at the intersection of two circles is subjected to two sine wave motion   A and B at 90 degree simultaneously.  The particle will describe figures depending on the frequency and phase of A and B .  In our case, the ratio of frequency is  1:2 and the two waves are in phase.        To draw lissajous figures :  A moving point in both the circles are chosen.   Here we should remember; during the time taken by the circle A to complete one rotation, circle B completes two.  Hence the points are marked on the circles according to their speed.  Then straight lines

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.      Inverted parabola shape is used in the construction of buildings and bridges.  Because the shape is able to bear more weight.      A plane

CASINO'S GAME

           Let us find out how the casino survives with mathematics.      Say, your friend invite you for a game of dice.  You must bet (wager) 2 dollars.  If you roll 'six' you will get back 8 dollars.  The game will go on for 30 rounds.  All sounds good.      The probability of rolling 'six' is 1/6.  Since the game will be played for 30 times, the 'expected win' is 30*1/6 = 5.  That is, you are expected to win 5 rounds out of 30.  Hence your gain will be 5 * 8 =40 dollars.  ok.  This also implies that you will loose 25 rounds.  Hence your loss will be 25*2 =50 dollars.  Your net gain will be gain-less = 40-50 = -10 dollars. For 30 rounds, the loss is -10 dollars, Hence, for one round =-10/30 = -1/3 dollars.  There will be a loss of -1/3 or 0.33 dollars per round.  It is not a fair game.     Let us make a simple formula to calculate  'Pay out per round\. The probability for a win = p The pay-out in case of win = V No. of rounds = n The expect