linear independence of vectors

Wave optics is based on wave theory of light put forward by Huygen and modified later by Fresnel. According to the wave theory, light is a form of energy, which travels through a medium in the form of transverse waves. A wavefront is defined as the locus of all the particles of a medium, which are ..

Consider two charges q 1 and q 2 with position vectors r 1 and r 2 respectively, relative to some origin. To calculate externally the work done in building this configuration, we have to consider the charges q 1 and q 2 initially at infinity and determine the work done by an external agen..

When T = 0, This shows that thermoelectric power is independent of the temperature of the cold junction. The neutral temperature (T n ) is when the thermo emf is the maximum. This gives a + b T n = 0 For Cu-Fe thermocouple, T n is ~518 o F. For most pure metal thermocouples, the neutral t..

Rates of most chemical reactions increases with temperature because the rate constant 'k' increases with temperature. The temperature dependence of the rate constant is given by the Arrhenius equation, where..

Consider a particle capable of rotation about an axis. At any time t, let its momentum be and , the position vector. Then the angular momentum is given by the cross product and . = x..

>Acceleration due to gravity is independent of the mass of the object Newton's third law of motion is applicable to force of gravitation Mass is defined as the amount of matter contained in it SI unit of mass is Kilogram Mass remains constant throughout the universe Mass of an object can ..

For a zero order reaction, the rate is independent of concentration of the reactant. For e.g., A Products Integration of the equation gives At t = 0, [A] = [A] o = constant Therefore equation becomes A plot of [A], that is concentration, versus time t, will be li..

Summary - Heredity may be defined as the transmission of characteristics through generations Variation may be defined as differences among individuals of a species Both heredity and variation play important roles in evolution of organisms The study of the mechanism of transmission of characteristic..

. The enzyme changes shape upon binding substrate. The active site has a shape complementary to that of the substrate only after the substrate is bound In enzyme catalyzed reaction, the rate of reaction varies with the concentration of the substrate in the manner as shown in figure. fig 7.8 - Repre..

Langmuir Isotherm - Langmuir adsorption isotherm is based on the following assumptions. i) Adsorption does not proceed beyond monolayer coverage. ii) All the sites available on the adsorbent surface are equivalent and the surface is perfectly uniform, that is flat. iii) The ability of a gas molecul..