Knowledge of Physics

 Background Concept of Derivatives The concept of derivative in was introduced to solve problems Physics concerning motion of an object. The credit for the development of concept of derivative and properties of a real valued function f(x) of variable x goes mainly to two famous personalities: 1.) Sir Isaac Newton(1642-1727) He is an American Physicist and Mathematician who has contributed a lot in the field of mathematics as well as Physics.  2.)  Gottfried Whilhelm Leibnitz(1646-1716) He is a German Mathematician who has contributed a lot in the field of Mathematics. Let's be familiar with concept of derivatives. You have learnt Newton's law of motion in School level Physics. You might have also learnt it in higher level Physics. You have learnt about velocity of moving objects. Velocity gives relation between distance travelled by an object with time taken for the travelling.  `\implies` The rate of change of displacement or distance which is magnitude of displacem...

 In this post, you will learn to prove a very important formula in calculus,  `\lim_{\theta \rightarrow 0} \frac{sin \theta }{\theta} = 1`. This relation is very useful in determining the limit of trigonometric functions.  If you use `\theta = 0` directly in `\frac{sin \theta}{\theta}` then you get `\frac{0}{0}` which is an indeterminate form. This means that you can not find value of limit directly. However, if you use some techniques, then you get the limit equal to 1. In this post, you will learn that technique which helps you to find out the value of given limit easily.   Let's begin. Fig.1 Circle with center at C having radius CB = r and tangent MN at point M to prove the formula. Consider a circle ABDM with center at C and radius CB so that  CM = CB = AC = r. BDM  is an arc that subtends angle `\theta` at C.  MN is a tangent of circle at M that meets diameter AB extended at N so that CM is perpendicular to MN. Also, MP is drawn to perpendicu...

Solving a mathematical problem is not an easy task. You need to have a lot of background knowledge to solve problems. If you a student of Physics, you need to solve many types of problem using mathematical relations. To be strong in Physics, you need to make yourself strong mathematics as well.   In this post, you will learn about the following topics:   What is equation ? What is trigonometric equation What the techniques or Steps of Solving Trigonometric equations? Problems with  Solutions of  different type of trigonometric equations Learn more about Trigonometric ratios and their formulae from HERE . 1. What is an Equation ? The mathematical relation of the form ax + bx + c = 0 which is true for certain values of given variable x, is called equation. For example, 2x+2 = 1 is an equation, which true only for `\rightarrow` 2x+2 =1 or, 2x = 1-2 or, 2x = - 1 `\therefore` `x = \frac{-1}{2}` Thus given equation is true only for `x = \frac{-1}{2}`. This means calcu...

 Have you ever thought on why can't we leave earth's surface ? Why do we keep our feet always touching on the earth's surface ? Why can't we fly in the sky just as birds do ? Obviously, you would say, 'Because I don't have wings to fly'.  Having wings is not just a reason that birds can fly. It is because wings can do work against the pulling of earth's gravity. More the surface of wings, more it can produce energy against the gravity, the more it takes birds higher in the sky. But gravity does not stop pulling birds down to the earth's surface. After flying some times, birds get tired. They take benefit of branches of tree to take a rest. This is the magic of gravity of earth. It keeps pulling you. It does not want you go away from it.   It keeps saying you, Love me like you do, la la love me like you do .... Touch me like you do, ta ta touch me like do ...... (just a part of a song 😊). And you need to keep touching it. You can't go away from i...

 The non-luminous bodies which revolve around the sun in fixed orbits without interfering the path and motion of each others are called the planets. In this post, you will mainly learn about three things: Common Characteristics of planets Kepler's law of planetary motion Atmosphere of planets . There are 8 planets in solar system. They are obviously, Mercury Venus Earth Mars Jupiter Saturn  Uranus Neptune Click Here to learn more about Solar System and its members. Two Categories of Planets 1. Terrestrial Planet The planets of this category are relatively small in size, have high density and made up of solid socks and metals. These are also called as Earth-like planets. These planets are Mercury, Venus, Earth and Mars. 2. Jovian Planet The planets of this category are relatively large in size, have low density and made up of gases like hydrogen, helium, ammonia, methane etc. These planets are also referred as Jupiter-like planets. These are Jupiter, Saturn, Uranus and Neptune...

 What is solar system? The Sun with other astronomical bodies such as eight planets , dwarf planets, natural satellites , comets , meteors and small dust particles scattered between these planets, form a group, called the solar system. In this system, the Sun lies at the center and other bodies revolve around the sun on their fixed path, called the orbit. The Sun, being larger than any other bodies of solar system, holds all members together due to its gravitational pulling.  Fig.1 The Solar System, Sun and Planets Members of Solar System: The most considerable members of the Solar system are listed as follow: the Sun   Eight planets comets the Moon , natural satellite of earth etc. Some important features of these members are listed here as given below. The Sun The Sun is the major member of solar system and it is located at the center of the system. All other members revolve around the sun due to the gravitational pull of the sun. Sun is major source of heat and light ...

 Bluetooth connection of your desktop to any other audio devices such as speaker, woofer etc. is important task whenever you want to listen music in loud and low frequency sound. But when your desktop has problem of no appearing bluetooth icon in your desktop taskbar, it will make you feel upset.  In this post, you will learn  how to solve the problem of not appearing bluetooth icon on taskbar and enable the disabled bluetooth button on your desktop. For this you will follow following steps: Let me make you clear that no internet or wifi is required for doing this setting. You can obviously do it offline. And it works with 100% sure. 1. Check well whether bluetooth icon is appearing on desktop taskbar or not.     2. If not, search for 'Bluetooth and other devices Settings' on search bar of taskbar. 3. Click on it and let the settings interface  open. 4. Scroll down and click on 'Additional Troubleshooters', after it opens, you will see many options for sett...