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Units and Dimensions: Building of Concepts
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Units and Dimensions theory 1 for the building of concepts to further solve numericals based upon these concepts.

Nikhil Mishra
Nikhil Mishra is an engineer and has been a Faculty of Physics in some of the most premier institutes of the country and has been involved

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• If we want to create a robust judicial system at the subordinate level and a rich pool to draw from for the appointment of high court and, later, Supreme Court judges, the constitution of an Indian judicial service is a sound idea. • The idea was first mooted by the Law Commission in the 1950s; The Constitution of India was amended in 1977 to provide for an All-India Judicial Services and The Chief Justices conferences in 1961, 1963, and 1965 also favoured creation of the service. However, each time it was faced with opposition. • Recently, The Government supported All-India Judicial Services (AIJS)saying that it will help promote federal governance: under this, *the district judges will be recruited centrally through an all-India examination. * They will then be allocated to each State along the lines of the All-India Services. • The advantages are: *Efficiency and efficacy of judiciary would be increased. *Transparent and efficient method of recruitment would be followed and Corruption, nepotism etc would be strongly dealt. * The pendency and issue of delay of cases would be done away. *Best legal talent across the country would be selected on the basis of merit. *Public faith in the judiciary would be restored. • There are some concerns also exist: *an issue of local laws differences, Local languages and dialects, Unremunerative pay. *the judiciary has fewer avenues for growth, promotion and limited avenues for career advancement; * It will be against the Independence of Judiciary as some other body will have a control in appointment and integration because in the judiciary, higher level controls and evaluates lower level. • Despite the limitations, the establishment of AIJS makes a strong case because, if Civil servants can learn the local language of the state, even a judicial service officer can. Pay scale, issue of transfers, career growth etc should be looked after. After the selection, a Judicial service officer can be provided sufficient training to handle the job. • A meritocratic judiciary is the need of the hour. It is in the interest of all concerned that cases should be disposed of as quickly as possible, which will be possible if there are adequate judges and it would be possible if they recruited in large strength through AIJS just like in case of civil services. Hence there should be no more delay.
  1. Units and Dimensions DIMENSIONAL ANALYSIS


  2. Fundamental and Derived Quantities Experiments require measurements, and we generally use numbers to describe the results of measurements. Any number that is used to describe a physical phenomenon quantitatively is called a Physical Quantity. Physics is the study of Physical Phenomenonwith the help of the Physical Quantities. There are Seven Fundamental Physical Quantities namely Mass, Length, Time Temperature, Electric Current, Luminous Intensity and Amount of Substance. All other Physical quantities like Velocity, Momentum, Acceleration, Force etc. can be represented in terms of the seven Fundamental Physical quantities and are known as Derived Quantities Angle and Solid Angle are termed as Supplementary Quantities.


  3. All the Derived Quantities can be expressed in terms of Fundamental Quantities and therefore the units of all the derived quantities can be expressed in the form of units of Fundamental Quantities The following table contains the Fundamental quantities with their SI Units S. No. Physical quantity 1. 2. 3. 4 5. 6. 7 Name of unit Symbol of unit Mass Length Time Temperature Luminous Intensity Candela Electric Current Amount of Substance Mole Kilogram Meter Second Kelvin Cd Ampere mol


  4. The powers to which the fundamental quantities mustbe raised in order to represent a Physical quantity is known as dimension of that Physical quantity. For example Momentum can be represented in the form of Fundamental Quantities as p = mw therefore, is known as dimensional formula of momentum. m- M 1 LIT-1 Fundamental quantities cannot be written in the terms of other fundamental quantities. Mathematical constants like etc are dimensionless. Physical constants such as, 'Universal Gravitational constants (G)', 'Permittivity of Free Space (Eo Y etc. generally have dimensions. Pure ratios are always dimensionless and generally unitless but may not always be unitless. For example, Relative Density is unitless and dimensionless whereas Angle is dimensionless but not unitless, it has a unit Radian.