Set of elements (vectors) in a vector space is called a basis, or a set of basis vectors, if the vectors are linearly independent and every vector in the vector space is a linear combination of this set.In more general terms, a basis is a linearly independent spanning set.
Given a basis of a vector space, every element of vector space can be expressed uniquely as a linear combination of basis vectors, whose coefficients are referred to as vector coordinates or components.
We can represent vector v as
According to Coulomb’s law the force between two point charges is
(a) The force is directly proportional to the product of magnitude of charges i.e.
(b) The force is inversly proportional to the square of distance between two charges i.e.
Combining both
OR
Where k is a constant of proportionality known as force constant having different value in different systems
This is Meyer's Equation
At constant volume as there is no work done on the gas(ΔV=0) all the heat supplied goes for the increase of internal energy. Hence temperature of body increases with less supply of heat. Whereas at constant pressure heat supplied accounts for both internal energy and work done on the gas.
if we increase temp. of 1 mole of gas by 1K or 1C then
This is also called Meyer's formula.