Summary NEET Physics Formula Sheet + Solved PYQs | Class 11 & 12 Quick Revision Notes

Units And Measurements
Quick Revision UNITS AND MEASUREMENTS
TERMINOLOGY
VALUES 10) Absolute error : The magnitude of the
d = Plane Angle difference between the individual
measurement and the true value of the quantity
ds = Arc Length
is called absolute error.
r = Radius
11) Mean absolute error : The arithmetic mean of
d = Solid Angle all the absolute errors is called mean absolute
D = Distance between two planet error.
b = Diameter Of Planet 12) Relative error : The ratio of mean absolute error
in the measurement of a physical quantity to its
a = Absolute error most profable value is called relative error.

amean = Mean absolute error 13) Percentage error : The relative error multiplied
by 100 is called the percentage error.
Z, A & B = Physical Quantities
FORMULAE
FORMULAE
DEFINITIONS
DEFINITIONS
1) System of Units : A complete set of units both ds
fundamental and derived for all kinds of 1) Plane Angle : d 
r
physical quantities is called system of units.
2) Unit : The reference standard used for the
measurement of a physical quantity is called a
unit.
3) Fundamental Quantities : The physical
quantities which do not depend on any other
physical quantities for their measurements are
dA
known as fundamental quantities. 2) Solid Angle : d 
r2
4) Derived Quantities : The physical quantities
which depends on one or more fundamental
quantities for their measurements are known
as derived quantities.
5) Parallax Method : The method used to measure
large distances are called Parallax Method.
6) Dimensional Analysis : The dimensions of a
physical quantity are the powers to which
d
fundamental units must be raised in order to 3) Parallax Method : D 
obtain the unit of the given physical quantity.
7) Order of Magnitude : The value of its
magnitude rounded off to the nearest integral
power of 10.
8) Significant Figures : Figure which is of some
significance but it does not necessarily denote
a certainty.
9) Error : The difference between the true value
and measured value of physical quantity is
called error.


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, Units And Measurements
4) Error Analysis : a1, a2, a3, ...... an values obtained Combination of Errors:
in measurement. 1) Error of sum or difference
a1  a2  ........an Z=A+B
amean  Z  A  B
n
2) Error of product
a1  a1  amean Z = AB
a2  a2  amean Z A B
 
an  an  amean Z A B
3) Error of Division
a1  a2  .......  an
amean  A Z A B
n Z  
B Z A B
amean
Relative error  4) Error in case of raised power
amean
a A p Bq Z A B C
Percentage error  mean Z p q r
100 Cr Z A B C
amean


IMPORTANT
DIMENSIONAL ANALYSIS

Dimension Quantity
Frequency, angular frequency, angular velocity, velocity gradient and
[M0L0T–1] decay constant
1 2 –2 Work, internal energy, potential energy, kinetic energy,
[M L T ] torque, moment of force
1 –1 –2 Pressure, stress, Young's modulus, bulk modulus, modulus of rigidity,
[M L T ] energy density
1 1 –1
[M L T ] Momentum, impulse
[M0L1T–2] Acceleration due to gravity, gravitational field intensity
[M1L1T–2] Thrust, force, weight, energy gradient
[M1L2T–1] Angular momentum and Planck's constant
1 0 –2
[M L T ] Surface tension, Surface energy (energy per unit area)
Strain, refractive index, relative density, angle, solid angle,
0 0 0
[M L T ] distance gradient, relative permittivity (dielectric constant), relative
permeability Poisson's ratio etc.
0 2 –2
[M L T ] Latent heat and gravitational potential
2 –2  1
[ML T θ ] Thermal capacity, Boltzmann's constant and entropy
l / g , m / k , R / g , where l  length
0 0 1
[M L T ] g = acceleration due to gravity, m = mass, k = spring constant,
R = Radius of earth
[M0L0T1] L/R, LC , RC where L = inductance, R = resistance, C = capacitance
V2 q2
I 2 Rt ,t , VIt , qV , LI 2 , , CV 2
[ML T ]
2 –2 R C
where I = current, t = time, q = charge,
L = inductance, C = capacitance, R = resistance


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, Scalars And Vectors
Quick Revision SCALARS AND VECTORS
TERMINOLOGY
VALUES FORMULAE
FORMULAE
  
A & B : Are two vectors ˆ  A
1) Unit vectors : A
  A
: Angle between A and B   
 2) Law of Triangle : R  A  B
R : Resultant of vectors.
 : Angle made by vector with x-axis
 : Angle made by vector with y-axis
: Angle made by vector with y-axis
i : unit vector along x axis     
3) Law of Polygon : R  A  B  C  D
j : unit vector along y axis
k : unit vector along z axis
DEFINITIONS
DEFINITIONS
1) Scalar Quantity : A physical quantity which can
be completely described by its magnitude only   
is known as scalar quantity. 4) Law of Parallelogram : R  A  B
2) Vector Quantity : A physical quantity which has R  A 2  B 2  2 AB cos
magnitude and direction and obeys all the laws
of vector algebra is called vector quantity.
3) Parallel Vector : Those vectors which have the
same directions are called as parallel vectors.
4) Equal Vector : Vectors which have equal
magnitude and same direction are called equal
vectors.
5) Anti-parallel Vectors : Those vectors wich have
A sin
the opposite directions are called as Anti- tan  
parallel vectors. B  A cos
Cases
6) Opposite Vectors : Vectors have equal
magnitude but opposite directions are called as 1) If  0, R  A  B
opposite vectors. 2) If  90, R  A2  B2
7) Unit Vectors : Vectors whose magnitude is one
3) If  180, R  A  B
is called a unit vector.
5) Substraction of vectors :
8) Rectangular components of vector : When a
vector is splitted into components which are R  A 2  B 2  2 AB cos
right angle to each other then the components
are called rectangular components of vectors.
9) Dot Product : The dot product of two vectros
can be defined as the product of their
magnitudes with cosine angle between them.
10) Cross Product : the cross product of two vectors
can be defined as the product of their
magnitudes with sine angle between them.

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, Scalars And Vectors
6) Resolution of vectors 6) In case of orthogonal vectors
a) Two dimensions i j j kk i0
7) Scalar product of a vector by itself
 
A A  A2
8) Incase of unit vector
i i  j j  k k 1
9) Interms of components
b) Three dimensions  
 A B  ( Ax i  Ay j  Az k ) ( Bx i  By j  Bz k )
A  Ax i  A y j  A z k
 
A B  Ax Bx  Ay By  Az Bz
A A A A2
x
2
y
2
z
10) Projection of vector
A  
cos   x   A B
A Projection of B on to A  B cos 
A
Ay
cos    
A   A B
Projection of A on to B  A cos 
Az B
cos  8) Cross product :
A
  
cos 2   cos 2   cos 2  1 CA B

sin 2   sin 2   sin 2  2 C  C  AB sin
 
7) Dot Product : A B  AB cos




Key points
  
Key points 1) If  0, C  A B  0
 
1) If Q  0, A B  AB   
If  90, C  A B  AB
 
If Q  90, A B  0   
  If  180, C  A B  0
If Q  180, A B   AB
2) Angle between the vectors
2) Angle between two vectors  
  A B
cos 
A B sin 
AB AB
3) It is commulative 3) It is anti-commutative
       
A BB A A BB A
4) It is Distributive 4) It is distributive
             
A (B  C )  A B  B C A (B  C)A B  A C
5) It is associative 5) It is associative
                       
( A  B(C  D )  A C  A D  B C  B D ( A  B) (C  D)  A C  A D  B C  B D

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