First order and first degree differential equations and their geometrical interpretations

Ordinary D.F equations, their order and degree

Posted on 27/05/201727/05/2017 by myrank

Differential equation: An equation containing an independent variable, dependent variable and differential coefficient of dependent variable with respect to independent variable is called a differential equation.Order of a differential equation: The order of a differential Equation is the order of the highest order derivative appearing in the equation. For example, in the equation , the Read more about Ordinary D.F equations, their order and degree[…]

Puzzles 7

Posted on 26/05/201729/08/2017 by myrank

Puzzle 1: Pick the odd one out: Crabcake, Laughing, Calmness, Canopy, Stupid, Hijack, First, Deft, Happy Puzzle 2: Fill in the missing pair: BF CH ? HO LT Puzzle 3: If BDG is equal to CFJ, then find the value of EGJ Puzzle 4: Fill in the sequence: 5 6 9 15 Read more about Puzzles 7[…]

Nucleic Acids

Posted on 26/05/2017 by myrank

Definition: ⇒ The particles in nucleus of a cell, responsible for heredity, are called chromosomes which are made up of proteins and nucleic acids. ⇒ Nucleic acids are long chain polymers of nucleotides, so they are also called polynucleotides. ⇒ Examples: Deoxyribonucleic acid (DNA) & Ribonucleic acid (RNA). Chemical Composition of Nucleic Acids: ⇒ Each Read more about Nucleic Acids[…]

Logic Puzzles 5 [With Answers]

Posted on 25/05/201725/05/2017 by myrank

Puzzle-1: You work at a fruit factory. There are 3 crates in front of you. One crate contains only apples. One crate contains only oranges. The other crate contains both apples and oranges. And each crate is labeled. One reads “apples”, one reads “oranges”, and one reads “apples and oranges”. But the labeling machine has Read more about Logic Puzzles 5 [With Answers][…]

Total Internal Reflection

Posted on 25/05/2017 by myrank

When light travels from an optically denser medium to a rarer medium at the interface, it is partly reflected back in to the same medium and partly refracted to the second medium. This reflection is called the internal reflection. When a ray of light enters from a denser medium to a rarer medium. It bends Read more about Total Internal Reflection[…]

Logic Puzzles 5

Posted on 24/05/201724/05/2017 by myrank

Integral Function and its Properties

Posted on 24/05/201724/05/2017 by myrank

Let f(x) be a continuous function defined on [a, b], then a function φ(x) defined by for all x ϵ [a, b] is called the integral function of the function f(x). Property I: The integral function of an integrable function is always continuous. Property II: if φ(x) is differentiable on (a, b) and φ’(x) Read more about Integral Function and its Properties[…]

Types of Polymerization Reactions

Posted on 22/05/201722/05/2017 by myrank

1. Addition polymerization (or) chain growth polymerization: ⇒ The molecules of the same monomer or different monomers add together on a large scale to form a polymer. ⇒ The monomers used are unsaturated compounds. Eg: Alkenes, alkadienes and their derivatives. ⇒ Can take place through the formation of either free radicals or ionic species. Free Read more about Types of Polymerization Reactions[…]

Logic Puzzle 4 [With Answers]

Posted on 22/05/2017 by myrank

Puzzle-1: You have a basket containing ten apples. You have ten friends, who each desire an apple. You give each of your friend’s one apple. Now all your friends have one apple each, yet there is an apple remaining in the basket. How? Answer: You give an apple each to your first nine friends, and a Read more about Logic Puzzle 4 [With Answers][…]

Source across Capacitor

Posted on 20/05/201720/05/2017 by myrank

. . . Where, and is known as capacitive reactance i (t) = Im sin (ωt + 90⁰) Instantaneous power p (t) = v(t) i(t) = Vm sinωt Im cos ωt . Average power . Now vector diagrams are drawn below:Hence in a capacitor current leads to voltage by 90° (or voltage lags to currents Read more about Source across Capacitor[…]