A Simple Polarization Example





Ordinary visible light is a mixture of many kinds of waves. The light that enters your eye is composed of waves of a multitude of different wavelengths.



Each of these different waves vibrates in many different directions as the light travels.



" Whenever We Change a Beam Of Light Waves So That Many Of The Waves Are Vibrating In The Same Direction, We Have 'Polarized' The Light Beam."



Let's use Polarizing sunglasses for example:

We perceive light waves that vibrate horizontally as 'glare', on polarizing sunglasses, there are many tiny vertical scratches that allow only light wave that vibrate vertically through those tiny scratches. Light vibrating in other directions has a hard time getting through. In particular, horizontally vibrating waves will be stopped completely. Since they are the cause of glare, polarizing sunglasses will stop the glare waves. The light that went through the other side of the glasses is polarized. (light waves vibrating the same direction)



The actual description of light waves and how they vibrate is a great deal more complicated than has been made out here. Electromagnetic wave properties can be described mathematically, and seem to share the qualities of both a particle and a wave, as you may have learned or will be learning in your Physics class.

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Maximum Material limit and Minimum Material Limit


Shaft

Consider a shaft with a dimension given by 50­­(± 0.05).  Then the shaft is said to have a Maximum Material Limit of 50.05mm because at this limit the shaft have maximum possible amount of metal.  The lower limit 49.95 is the LML of the shaft, because of this limit the shaft have minimum amount jkof material.

Hole

In the case of a hole, the conditions are reversed because a hole of size 50(±0.05), the MML is when lower limit is at 49.05mm because as the lower limit increases the thickness of the hole increase and material needed for producing the hole increases.

The LML is at 50.05 because at their limit the material needed for the hole is minimum.

Limits, Fits and Tolerance


Limits

In a manufacturing industry, it is not possible to produce a part with required accuracy.  It will consist of some error, because in mass production, a large number of parts are to be made with different matches by different operators.  So, in mass production, accuracy increases the cost ofk production and time kof production.

So it is obvious that some permissible variations is allowed for manufacturing a part without affecting their applications.  The 2 limits of allowable variation from the basic size is known as Limits.

Tolerance

Tolerance is the permissible variation in the size.  That is the difference lbetween higher limit and lower limit of the part.

Depending upon the size, the tolerance is of 2 types.

a)      Unilateral tolerance

Here the tolerance will vary in only one direction of the basic size, either positive or negative.

b)      Bilateral tolerance

Here, the tolerance is allowed to vary in 2 directions of the basic size.

Fits

Fits are defined as the looseness or tightness of the 2 matting parts (hole and shaft).  So a fit will result in a movable or fixed joint.

Types of Fits

a)      Clearance Fit

When the lower limit of hole is larger than the jkupper limit of shaft then the fit is said to be clearance fit.  Here hole and shaft have relative movement with each other.

Examples:             Slide fit
                             Easy slide fit
                             Running fit
b)      Interference fit

Here the lower limit of shaft is larger than the upper limit of hole.  So lno relative movement is possible in interference fit.

Examples :            Force fit
                             Tight fit

c)      Transition fit

Here the limits of the hole or shaft lies in between the other.  It is the fit lines in between clearance and transition fit.

Examples:             Push fit
                             Wringing fit

Wringing of slip gauges

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When one slip gauge is placed over another, some air gap is present in between them.  This air gap will affect the accuracy of the measurement.  So we need to avoid this air gap.  The process of removal of air is called  wringing.


Procedure for wringing



i)                    Clean the slip gauge with lint free cloth or cleansing tissue.
ii)                  Move one slip slightly over the other with light pressure.
iii)                One gauge is place over the other 90o and then it is turned until the gauges align in one line.

The gauges are adhere together.  Adhesion is due to molecular attraction and atmospheric pressure.

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Slips Gauges

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Slips gauges are gauge blocks which are universally accepted and standards of length.  The idea of slip gauge is proposed by the Sweedish Engineer Johanon.  So they are also called Johanson Gauges.

Slip gauges are highly polished rectangular block.  They are used for high accuracy and close tolerance.  They are mainly manufactured with high grade steel but they are also made4 from tungsten carbide which is extremely hard and wear resistance.  For high accuracy, the working faces of the slip gauge are made highly flat.

The cross section of thee gauges are 9mm x 30mm for their sizes upto 10mm. and 9mm to 35mm for larger sizes.





Applilcation of slip gauges

·         For accurate measurement of work piece.
·         For checking the accuracy of veenier callipers, micrometers etc.
·         Setting of a comparator for a given dimension.
·         They are used along with the sine bar.

Line standard and End standard


The measurement of distance can be done by 2 methods.

a)      We can measure the length as the distance between 2 lines.
b)      Or we can measure the length as the distance between 2 parallel faces.

Depending upon this method of measurement, the measurement kof distance is classified into 2.

1)    Line Standard

If the distance is measured as the length between 2 parallel lines it is called line standard.   Examples: The scale is a good example for line standard.  A scale with divisions shown as lines is used as the measurement.

Characteristics of line standards

Accuracy is less because the thickness of the calibrated lines on the scale is not taken into account during measure.

·       Scale is quick and easy to handle over a wide range.
·       Scales are subjected to paralyse error.
·       Scales markings are not subjected to wear.

2)    End standards

When the length is measured as the distance between 2 faces, it is known as the end standards.  Examples:- Slip gauges, micrometer anvil, venier calliper etc.

Characteristics of end standards

·         High accuracy.
·         Time for measuring is high and cannot measure 2 or more length simultaneously.
·         Subjected to wear on their faces and because of that, we are forced to built the gauges with hard materials.
·         They are not subjected to paralyse error.

Concept of Entropy


Claussius Theorem

Claussium theorem states that any reversible cyclic path can be substituted by a reversible Zig-Zag path between the end states but the condition is that the zig zag path contains a reversible adiabatic process followed by a reversible isotherm and then a reversible adiabatic .The heat transfer in the real reversible process and substituted isothermal process must be same.

Consider a reversible process as shown.  According to Claussius theorem, we can divided it into many reversible process consisting of a reversible isotherm and followed by a reversible adiabatic.  If we closely examine the process, each closed zig zag lines can be called as a Carnot cycle.



So we can say that the reversible process is divided by a number of Carnot cycle.

Consider the process abcd.  there heat dQ1, is absorbed reversibly at temperature T1 and dQ2 is rejected at temperature T2.

      dQ1      =    -dQ2                    (-ve indicates dQ2 is rejected)
        T1                T2

         dQ1   +     dQ2      =    O
           T1             T2


                 
 The equation shows that the cyclic integral of the ratio  for a reversible process is zero.                                                                    

But in practical a reversible cycle is never been  possible and the integral term  must have a value.                                                                                           

Classius call this value as entropy.  So entropy is the value of the integral
                 

So let us check it once more.

           
                      
So the application of entropy is that we can check how much irreversible a process is because if the value of entropy changes it indicates that the tendency of irreversibility  

Second Law of Thermodynamics

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The two demerits for first law of thermodynamics are;

a)      First Law doesn’t tells about how much heat is converted into work.
b)      It also doesn’t tell about the direction of heat transfer.

Because of this reason, we are forced for the second law which shows direction and amount of heat.  There are w statements in second law.

Kelvin Planck statement

“It is impossible for a heat engine to produce net work in a complete cycle if it exchanges heat only with bodies at a single fixed temperature.”

The term efficiency is arising from the Kelvin Planck statement.  Efficiency is the ratio of the output energy to input energy.

Consider a heat engine works between 2 heat energy Q1 and Q2 and does a work output Wnet 



      Where Wnet     =          Q1-Q2
      Q1                    =          Input heat
      Q2                    =          Heat lost to sink

      Then efficiency=         Output
                                          Input
                              =          Wnet
                                             Q1
                              =          Q1 – Q2
                                               Q1
                              =          1 – Q2
                                                Q1

All heat engine will have a heat transfer Q2 with the sink. In most of the case, the sink being the atmosphere.

If an engine which violates a Kelvin Planck statement, then Q2 for that engine is zero.

Therefore     Efficiency    =    100%

Such a heat engine with 100% efficiency is called Perpetual  Motion Machine of the second kind or PMM2.

Claussius statement

“It is impossible to construct a device which operating in a cycle will produce no effect other than the transfer of heat from a cooler to a hotter body”.

This law gives us the direction of heat transfer that is from hot bodies to cold bodies.

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First law of thermodynamics


It is considered as the general law & nature.  It states the conservation of energy.  That is Heat and Work are mutually convertible.

                              Q = E + W

This equation shows that when we apply a certain amount of heat into a system or taken out a corresponding work is takes place and the rest of the heatis converted as the internal energy of the system.

Internal Energy

Internal Energy is of 2 types.  Macro and Micro.

Macro
The macro comprises of the kinetic energy and potential energy of all the atoms in a system.

                  EMacro = EKE+EPE

Micro

It is composed of all the small forms of energy like rotational, translational, vibrational etc.

Consider an IC engine.  When combustion in IC engine takes place heat is forme and with the help of this heat expansion stroke takes place ie. the work takes place.  Here a lot of energy is lost that is we cannot convert the complete heat into work, because heat is a low grade energy and work is a high grade energy.

We cannot convert low grade energy to high grade energy completely.  But we can convert the high grade energy to low grade energy completely with a small amount of loss.

Zeroth Law of Thermodynamics


If a body said to be in equilibrium three conditions must be satisfied.

a)      Mechanical equilibrium   :  There is no external force must be acted on the system
b)      Thermal equilibrium        :  There must haven’t any spontaneous addition of heat.
c)      Chemical equilibrium      :   There must haven’t any chemical reaction.

If these 3 conditions are satisfied the system is said to be in thermodynamic equilibrium.

Consider the system A is an equilibrium with B and B is in the equilibrium with C, then  they are in thermodynamic equilibrium with each other.

Application

One of the familiar application of the Zeroth law is the Thermometer.

When we measure with a Thermometer, we can see only 2 system thermometer and the system whose temperature is to be measured.  But there is a 3rd system ie. the atmosphere.

So consider a system with temperature (System A) is equilibrium with the atmosphere (System B).  Consider the thermometer as system C which is equilibrium with atmosphere.  So the thermometer and system with temperature is in equilibrium with each other according to Zeroth law.  So the temperature shows on the reading is same as t

Thermodynamic process and properties and cycle


Properties 
Properties are the characteristics used to describe the condition of a system.  Examples are Pressure, Temperature and Entropy etc.

Depending upon the change of a property with respect to mass, they can be divided into two.

Intensive property

Properties which are independent of mass is called intensive property.  Examples:- Density, Temperature, Pressure.

Extensive properties

Properties which are dependent on mass is called extensive properties.  Example:- Volume, Energy.

Process


Consider a system with pressure P1 and volume V1.  A change in volume V1 to V2 change the pressure P1 to P2 and volume reaches Vn.  If we plot the graph of P vs V we get a curve called path of the system.  If the path is completely specified, then it is called a process.  Example:- Isothermic, Isobaric, Isochoric.

                             
                    Cycle
                 
                    When a process completes and finally come to its initial state then the                                                            process said to be a cycle