Entropy Thermodynamics is the study of Energy, Equilibrium and Entropy The first law of thermodynamics was stated in terms of cycles first and it was shown that the cyclic integral of heat is equal to the cyclic integral of work. When the first law was applied for thermodynamic processes, the existence of a property, the Read more about Entropy[…]
Matrices Problems i) Inverse Matrix: If , then A⁻¹ is equal to Solution: , |A| = 1 and adj (A) = A ∴ . ii) Unity Matrix: Element of a matrix A of order 10 x 10 are defined as aij = ωi + j (Where, ω is cube root of unity), then tr (A) Read more about Matrices Problems[…]
Enthalpy When a process undergoes at constant pressure, the heat observed/ released is equal to the change in Enthalpy. It is sometimes referred as heat content. Enthalpy is the sum of the Internal energy and the product of the Pressure and Volume. Mathematically, Enthalpy (H) = U + PV Where, U = Internal Energy of Read more about Enthalpy[…]
Rolle’s Theorem Let f be real valued function defined on the closed interval [a, b] such that It is continuous on the closed interval [a, b]. It is differential on the open interval (a, b) and F (a) = f (b) Then there exists c ϵ (a, b) such that f’(c) = 0 Geometrical Interpretation Read more about Rolle’s Theorem[…]
Periodic Motion One complete repetition of the motion is called a cycle. The duration of each cycle is the period. Period is the duration of one cycle in a repeating event, while the frequency is the number of cycles per unit time. What is Periodic Motion? Any motion that repeats itself after regular intervals of Read more about Periodic Motion[…]
Insertion of Arithmetic Mean (AM) between Two Numbers Arithmetic progression (AP): A sequence is said to be an arithmetic progression, if the difference of a term and previous term is always same. i, e.., an₊₁ – an = constant (d) The constant difference, generally denoted by ‘d’ is called the common difference. Example: (i) 1, Read more about Insertion of Arithmetic Mean (AM) between Two Numbers[…]
Planck’s Equation Planck’s constant is a number, it describes the size of the energy packets that are contained within light. These packets of energy are called photons. Planck’s constant is given the symbol h and the value of h is equal to 6.63 x 10-34⁻³⁴ J\se. What is Planck’s Equation? While Planck’s constant can now be Read more about Planck’s Equation[…]
Circles – Inverse Points Let S = 0 be a circle with center C and radius r. two points P, Q are said to be inverse points with respect to S = 0 if. 1. C, P, Q are collinear 2. P, Q lies on the same said of C 3. CQ = r² Note: Read more about Circles – Inverse Points[…]
Applications of First Order Differential Equation Growth and Decay: Let N(t) denote the amount of substance (or population) that is either growing or decaying. If we assume that , the time rate of change of this amount of substance, is proportional to the amount of substance present, then or . Where, k is the constant Read more about Applications of First Order Differential Equation[…]
Pressure Have you ever observed why the nails end with a sharp point, while sipping Cool drink from a straw, have you noticed that you actually suck the air out of the straw? Why and how does this happen? To answer all this questions lies in the concept of pressure. While you sip the Cool Read more about Pressure[…]