Introduction to Nucleus

All nucleus are made up off protons and neutrons. A proton has the charge value equal to electron but the mass of electron is negligible as compared to protons and neutrons. In nuclear physics, each element is represent by ${}_ZX^A$where Z is the atomic number which is nothing but the number of protons and A is the mass number indicating the sum of numbers of proton and neutron and X represent the symbol…

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Nuclear Physics

Since the discovery of atomic nucleus in 1911 by Rutherford, the subject of Nuclear Physics has achieve a lot in the century. Rutherford demonstrated that the alpha particle scattering seen during his experiment can only be explained if there was a positively charged nucleus whose radius is of the order $10^{-12} cm$ and the radius of the atom of the order $10^{-8} cm$. Along with this Rutherford also suggested that the…

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Simple Pendulum

A simple pendulum is a heavy mass (bob) suspended by very low weight inextensible and flexible string which undergo to and fro motion in a plane from mean position.

Circular Motion

Circular motion refers to the movement of an object in a circular path. By circular we mean motion about a fixed point. The most suitable examples of circular motion includes motion of the planet around the sun (they are not exactly circular but calculation gets easier and we approximate them to be circular) and stone whirled in circle by attaching it to a string.

Angular Displacement

In circular…

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Variation of g

The value of g at the surface of the earth is given by the equation $g=G\frac{GM}{R^2}$ and its average value on the surface of the earth is about $9.8 ms^{-2}$. But we have to remember that the value of g changes with R and some other factors which we will  discuss below. Even from above equation we can tell that as the body moves above or below the surface of the earth, the value of g changes.

Variation of g above the surface…

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Newton’s law of Gravitation

Newton’s law of Gravitation

The motion of heavenly objects like Planets, sun, natural satellites etc has drawn a lot of attention in the past the the mystery of their motion remain unsolved until 1665. Sir Issac Newton at the age of 23 made one of the biggest contribution to Physics by simply showing that the force by which moon revolves around the Earth is same force responsible for causing apple to fall to the ground. Sir…

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Integral calculus formula

Integral calculus the the reverse process of differentiation. So if differentiation of f(x) is g(x) then f(x) is called the integral or anti-derivative of g(x). It is written as $\int g(x)dx = f(x)$

If $\frac{d}{dx}f(x) = g(x)$, $\frac{d}{dx}f(x) + C = g(x)$ where C is any constant. Thus, if f(x) is the integral of g(x) then f(x)+1 or f(x)+5 or in general f(x)+C is also an integral of g(x). So, based on this fact we write $\int g(x)dx = f(x)+C$ where C is any constant.

INTEGRAL PROPERTIES
$\int Cf(x)dx = C \int f(x)dx$
$\int {f_1(x) \pm f_2(x)} dx = \int f_1(x) dx \pm \int f_2(x) dx$

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Some amazing Google tricks

Some amazing Google tricks

1. Type in “Google in 1998″ for using the very old version of the search engine.

2. To Look for the meaning and etymology of any word just type “proactive etymology”

3. To play a hidden game built in the Google search engine just enter “Zerg Rush”

4. Just enter “Festivus” on search box and see what happens. Let me know on comment what happened.

5. Type “define anagram” and see how geeky Google…

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Elastic collision in one dimension

Elastic collision in one dimension

Any collision is elastic if the total kinetic energy of the colliding particles remains conserved. Let us consider two bodies A and B with masses $m_1$ and $m_2$ are moving with the initial velocity $u_1$ and $u_2$ respectively in the same direction and same straight line. In this problem let us suppose that velocity of one object is greater than other $(u_1 > u_2)$and they are on the collision path. In this situation object A…

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Projectile motion in Horizontal direction

Projectile motion in Horizontal direction

Let us suppose that an object is thrown from a certain height ‘h’ above the ground in horizontal direction with initial velocity ‘u’. This horizontal velocity remains unaffected by the acceleration due to gravity. In this case ‘g’ remains constant throughout the motion. There are two way motion in the projectile, one is vertical motion and another is horizontal motion.

Vertical motion
Just after…

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