Physics book for IIT JEE

This book is cover each and every topic of physics related to IIT JEE. It also contain question related to other engineering exams . The short notes types summarys help you before exam to quick revising topics. 

Download link :-

https://drive.google.com/drive/folders/0B7EaN2e8usIgYVkzaFZLT010cUE

Thanking you.

Dimension Analysis

1.Dimension
When derived quantity is expressed in terms of fundamental quantity, it is written as a product of different power of the fundamental quantities.

The exponent of base quantity that enter into the expression of physical quantity is called dimensions.
For example :- dimension formula of force. 
 Method :-
                     Force = mass×acceleration
                               =(mass×velocity)÷time
                              =mass×length÷time^2
                             =mass×length×time^-2 
 Dimension formula of Force  =[MLT^-2]
 2. Application of dimensional analysis.
1). To find the unit of physical quantity or constant.
Example :-
            1.Work = force×displacement 
                    W = [M L T^-2]×[L]
                    [W ]= [M L^2 T^-2]
    S.I unit of work = kg m^2 s^-2.
                  
           2. Gravitational force(F) 
                                  = GmM/r^2
                    G = Fr^2/mM
                   [G]=[MLT^-2][L^2]/[M][M]
                   [G] = [M^-1 L^3 T^-2]
    S.I unit of G = kg^-1 m^3 s^-2
We can find unit of any quantity or constant by using dimensions.
M,L,T is mass,length,time respectively has fundamental unit.
2). To convert a physical quantity from one system to another system.

Example :-

3). To Check the dimension correctness of the physical relation. 
Also called principle of  homogeneity.
If the given equation is dimensionally correct then it is valid and vice versa.
Example :-

4). To establish the relation between different physical quantities. 
Example :-

3. Limitation of dimensional analysis
1). Numerical constant cannot have dimension such as π,2π and ect. 
    Example :- Area of circle = πr^2
    Dimension formula =[L^2]
 2). Trigonometric constant cannot have dimension such as cos(theta),sin(theta) and etc.
4.Some Important dimensions formulas

 You should learn dimension formula of force and velocity so, you can easily derived all other dimensions formula by just learning their formula.

Thankyou very much.
Comment your doubt.......

In next session, we can do some questions which is commenly asked in IIT JEE and some concept building questions.

                 

                 

Unit And Dimension

1.Physical Quantity
     A quantity which can be                measured and by which various physical happening can be explained and expressed in the form of law is called physical quantity.
 For example length,mass,time,force etc.
Physical quantity = Magnitude×Unit 
                               = n×u
Example :-
                    Length =9 m = const.
                    N×U=n×u
2.Types of physical quantities 
        a.Scalar quantity = These qualitiy do not have any direction and only have magnitude.
For example = time,energy,work ect.
It follows simple addition, subtraction laws of math.
        b.Vector quantity = These quantities have both magnitude and direction. 
For example = velocity, acceleration force etc.
It can be added or subtracted by law of vector addition.
3.Fundamental quantities
Quantities which are independent of all other quantity and do not required the help of other physical quantity for their definition therefore it is also called absolute quantities. 
Ex. Length(m), mass(kg),time(s) etc

4.Derived quantities 
All other quantities can be derived by the suitable multiplication and division of different power of fundamental quantities. 
Ex. Velocity derived from length(m)÷time(s).

5.System of units 
CGS = cm,g,s.
FPS = Foot,pound,second (s).
S.I or MKS = m,kg,s.
    

Dimension will be continue in next session.

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