NCERT Exemplar Class 8 Maths Chapter 2 - Linear equations in one variable - Free PDF download
Hey, are you a class 8 student? and looking for ways to download NCERT Exemplar Class 8 Maths Chapter 2 "Linear equations in one variable"? If yes. Then read this post till the end. If you want to score high in your Class 8 Maths exam then it is very important for you to understand and learn the topics of Class 8 Maths thoroughly. In this article, we have listed NCERT Exemplars Class 8 Maths Chapter 2 in PDF that you can download and start your Preparations easily. So, without wasting more time ...
Read More →NCERT Exemplar Class 8 Maths Chapter 1 - Rational Numbers - Free PDF download
Hey, are you a class 8 student? and looking for ways to download NCERT Exemplar Class 8 Maths Chapter 1 "Rational Numbers"? If yes. Then read this post till the end. If you want to score high in your Class 8 Maths exam then it is very important for you to understand and learn the topics of Class 8 Maths thoroughly. In this article, we have listed NCERT Exemplars Class 8 Maths Chapter 1 in PDF that you can download and start your Preparations easily. So, without wasting more time let’s start. Dow...
Read More →Atomic Structure Handwritten Notes in PDF for NEET - Free PDF Download
Hey, are you a NEET Aspirants? and looking for ways to download Atomic Structure Handwritten Notes in PDF for NEET? If yes. Then read this post till the end. If you want to score high in your NEET exam then it is very important for you to understand and learn all topics of NEET Physics thoroughly. Handwritten Notes helps students to learn important concepts of subjects easily. NEET Physics Handwritten Notes provide detailed explanations of all the concepts that students can use to clear their do...
Read More →What is Motion of Bodies in Contact ?
Motion of Bodies in Contact (a) When two bodies of masses $m_{1}$ and $m_{2}$ are kept on the frictionless surface and a force $F$ is applied on one body, then the force with which one body presses the other at the point of contact is called Force of Contact. These two bodies will move with same acceleration $=\mathrm{a}$. When the force $F$ acts on the body with mass $m_{1}$ as shown in fig. (1) and (1a) $F=\left(m_{1}+m_{2}\right)$ a. If the force exerted by $m_{2}$ on $m_{1}$ is $f_{1}$ (forc...
Read More →What is Force?
Force A force is a push or a pull. [1] Since push or a pull has both magnitude and direction, so that force is a vector quantity. [2] Forces occur in pairs. If object $A$ exerts a force on object $B$, then $B$ also exerts a force on $A$. For example, when a bat strikes a ball the bat exerts a force on the ball, but the ball exerts a force on the bat also. [3] A force can cause an object to accelerate. If you kick a foot ball the ball's velocity changes while your foot is in contact with it. [4] ...
Read More →What is Mass?
MASS The mass of an object is a measure of the object's resistance to a change in its velocity. A child's wagon, coasting along a horizontal sidewalk, is more difficult to stop when it is loaded with bricks than when it is empty. The system, wagon plus load, is more massive in the former case than in the latter. Mass is a scalar quantity and is additive. That is, if we fasten two objects of mass $m_{1}$ and $m_{2}$ together, then the mass $m_{12}$ of the composite system is $m_{12}=m_{1}+m_{2}$ ...
Read More →What is Newton's third Law of Motion?
Newton's third Law of Motion To every action there is always equal and opposite reaction or the mutual actions of two bodies upon each other are always directed to contrary parts. The first and second laws are statements about a single object, whereas the third law is a statement about two objects. [A] According to this law, every action has equal and opposite reaction. Action and reaction act on different bodies and they are simultaneous. There can be no reaction without action. [B] If an objec...
Read More →What is Impulse?
Impulse It is not convenient to measure the varying force of impact. Suppose that $\vec{F}_{\mathrm{av}}$ is the average force acting during impact and $t$ is the small time for which the impact lasts. In such situations, it is found that the quantity $\vec{F}_{\mathrm{av}} \cdot \mathrm{t}$ is very easy to measure. The quantity $\vec{F}_{\text {av }} \cdot t$ is called impulse. If a variable force acts on a body or particle for a interval of time $t_{1} \rightarrow t_{2}$ Impules is $\vec{I}=\i...
Read More →What is Newton's Second Law of Motion?
Newton's Second Law of Motion According to this law, the rate of change of momentum is directly proportional to the applied force. The change in momentum takes place in the direction of applied force. Newton's II law gives the quantitative definition of force. i.e. $\quad \vec{F}=\frac{\Delta \vec{p}}{\Delta t}$ If $\Delta t$ is vanishingly small then $\vec{F}=\frac{\overrightarrow{d p}}{d t}$ Out of Newton's three laws of motion, the most fundamental one is the second law, because I and III law...
Read More →JEE 2024 Strategy - Preparation strategy, Study Plan, and Things to avoid
Hey, students are you looking for the best strategy that you can use to Crack JEE 2024? If yes. Then read this detailed post till the end. Every Year over 10 Lakh students appear for JEE Main exam to get a seat in the most prestigious engineering colleges of India like IIT, NIT, and IIIT. Because of huge competition, it is important for students to follow a proper strategy to achieve a good rank in JEE 2024. If you start your preparation two years before your Target Exam (JEE 2024) then chances ...
Read More →What are the types of Inertia?
Types of Inertia Inertia of rest: Inertia of rest is the inability of the body to change its state of rest by itself.\ Examples of inertia of rest : A person standing in a bus falls backward when the bus suddenly starts moving. The leaves or fruits from a tree fall just at the instant when we shake the tree. The dust particles inside a woolen blanket fall off when it is beaten by a stick. When a stone hits a windowpane, the glass is broken into a number of pieces whereas if the high-speed bullet...
Read More →What is Newton’s First Law of Motion?
Newton’s First Law of Motion Newton's first law of motion states that - A body remains in the state of rest or uniform motion in a straight line unless and until an external force acts on it. Newton's I law gives the qualitative definition of force, according to which "force is that external cause which tends to change or actually change the state of motion of the body". Putting Newton's $1^{\text {st }}$ law of motion in simple words, a body will not start moving until and unless an external fo...
Read More →What is Free Body Diagram?
Free Body Diagram A diagram showing all external forces acting on an object is called "Free Body Diagram" F.B.D. In a specific problem, first, we are required to choose a body and then we find the number of forces acting on it, and all the forces are drawn on the body, considering it as a point mass. The resulting diagram is known as the free body diagram (FBD). For example, if two bodies of masses $m$ and $M$ are in contact and a force $F$ on $M$ is applied from the left fig. (a), the free body...
Read More →What is Equilibrium of Forces?
Equilibrium of Forces Forces that have zero linear resultant and zero turning effect will not cause any change in the motion of the object to which they are applied. Such forces (and the object) are said to be in equilibrium. Mathematically a body is said to be in equilibrium if (a) Net force acting on it is zero, i.e., $\vec{F}_{\text {net }}=0$ (b) Net moments of all the forces acting on it about any axis is zero. Physically the body at rest is said to be in equilibrium if it is permanently at...
Read More →What are types of Forces?
Types of Forces (a) Field Forces or Range Forces : These are the forces in which contact between two objects is not necessary. Ex. (i) Gravitational force between two bodies. (ii) Electrostatic force between two charges. (iii) Weight of a body. (b) Contact Forces : When a force involves direct contact between two bodies. One body exerts a force on another because of the contact between them. These forces originate with the atoms of each body - each atom exerts a force on its neighbor (which may ...
Read More →What are the some applications of General Equation?
Some applications of General Equation (A) Projection from a height at an angle $\theta$ above horizontal : $u_{x}=u \cos \theta \quad \quad u_{y}=-u \sin \theta$ $x=(u \cos \theta) t \quad a_{y}=+g$ $h=(-u \sin \theta) t+\frac{1}{2} g t^{2}$ $g t^{2}-(2 u \sin \theta) t-2 h=0$ $\mathrm{t}=\frac{+2 \mathrm{u} \sin \theta \pm \sqrt{(2 \mathrm{u} \sin \theta)^{2}+8 \mathrm{hg}}}{2 \mathrm{~g}}$ or $\quad t=\frac{u \sin \theta}{g} \pm \sqrt{\left(\frac{u \sin \theta}{g}\right)^{2}+\frac{2 h}{g}}$ (B...
Read More →What is Horizontal Projectile Motion?
Horizontal Projectile Motion Suppose a body is thrown horizontally from point $\mathrm{O}$, with velocity $\mathrm{u}$. Height of $\mathrm{O}$ from ground $=\mathrm{H}$. Let $X$-axis be along horizontal and $Y$-axis be vertically downwards and origin $O$ is at point of projection as shown in fig. Let the particle be at $P$ at a time $t$. The coordinates of $P$ are $(x, y)$. Distance traveled along X-axis at time t with uniform velocity i.e. velocity of projection and without acceleration. i.e. v...
Read More →What are the special Points of Oblique Projectile Motion?
Special Points of Oblique Projectile Motion : (1) The three basic equations of motion, i.e. $v=u+a t$ $s=u t+\frac{1}{2} a t^{2}$ $v^{2}=u^{2}+2 a s$ For projectile motion give : $\mathrm{T}=\frac{2 \mathrm{u} \sin \theta}{\mathrm{g}}$ $R=\frac{u^{2} \sin 2 \theta}{g}$ $H=\frac{u^{2} \sin ^{2} \theta}{2 g}$ (2) In the case of projectile motion, The horizontal component of velocity $(u \cos \theta)$, acceleration $(g)$ and mechanical energy remains constant. Speed, velocity, the vertical componen...
Read More →What is Oblique Projectile Motion?
Oblique Projectile Motion Consider the motion of a bullet that is fired from a gun so that its initial velocity $\vec{u}$ makes an angle $\theta$ with the horizontal direction. Let us take $X$-axis along the ground and $Y$-axis along vertical. $\vec{u}$ can be resolved as $\mathrm{u}_{\mathrm{x}}=\mathrm{u} \cos \theta \quad$ (along horizontal) $\ u_{y}=u \sin \theta$ (along vertical) The motion of bullet can be resolved into horizontal and vertical motion. (i) In horizontal direction there is n...
Read More →What is the principle of Physical Independence of Motions?
Principle of Physical Independence of Motions Motion of projectile is two-dimensional motion in a vertical plane. It can be resolved in two motions along horizontal vertical direction These two motions are independent of each other. This is called the principle of physical independence of motions. At any instant velocity of projectile has two components : (i) Horizontal Component : No acc. along horizontal $\left(\mathrm{a}_{\mathrm{x}}=0\right)$ so velocity along horizontal remains unchanged th...
Read More →What is Projectile Motion?
Projectile Motion A body which is in flight through the atmosphere but is not propelled by any fuel is called a projectile. A body or particle moving in the atmosphere under the effect of gravity only. The motion of the projectile is a two-dimensional motion in a vertical plane. Ex. Stone thrown in the air by a boy, Bullet fired from a gun, Javelin thrown by an athlete, Football kicked by a player, Bomb released from an airplane in flight. Trajectory: Path followed by a projectile is known as th...
Read More →What is Displacement ?
Displacement Displacement is defined as the change in the position of an object. It is a vector quantity and has a direction and magnitude. It is represented as an arrow that points from the starting position to the final position. For example- If an object moves from P position to Q, then the object’s position changes. This change in the position of an object is known as Displacement. Let the position of point $P$ at time $t_{1}$ be described by position vector $\vec{r}_{1}=x_{1} \hat{i}+y_{1} ...
Read More →What is Motion in Two Dimensions ?
Motion in Two Dimensions An object moving in a plane is said to have two-dimensional motion. The two-dimensional motion is equal to the vector sum of two one-dimensional motions along the mutually perpendicular direction. Let the position of point $P$ at a time $t$ be given by position vector $\overrightarrow{\mathrm{OP}}=\overrightarrow{\mathrm{r}}$ $\vec{r}=\hat{i} r \cos \theta+\hat{j} r \sin \theta=\hat{i} x+\hat{j} y$ Also Read JEE Physics Notes To watch Free Learning Videos on JEE by Kota’...
Read More →How to derive the Formula by Dimensional Analysis method?
Derive the Formula by Dimensional Analysis method Let a physical quantity $x$ depends on the other quantity $P, Q$ and $R$. Then $x \propto(\mathrm{P})^{\mathrm{a}}(\mathrm{Q})^{\mathrm{b}}(\mathrm{R})^{\mathrm{c}}$ $x=\mathrm{k}(\mathrm{P})^{a}(\mathrm{Q})^{b}(\mathrm{R})^{c}$ Now consider dimensional formula of each quantity in both side - $a x_{1}+b x_{2}+c x_{3}=x$ ...(2) $a y_{1}+b y_{2}+c y_{3}=y$ ...(3) $a z_{1}+b z_{2}+c z_{3}=z$ ...(4) After solving equation $(2),(3)$ and $(4)$ value of...
Read More →How to check the Accuracy of a formula ?
To check the accuracy of a formula It is based on the homogeneity principle of dimension according to it formula is correct when L.H.S. $=$ R.H.S. Dimensionally. Ex. Test the correctness of the formula $\mathrm{T}=2 \pi \sqrt{\frac{\ell}{\mathrm{g}}}$, where, $\mathrm{T}=$ time period $\ell=$ length of pendulum and $\mathrm{g}=$ Acc. due to gravity. Sol. L.H.S. Dimension Equation of $\mathrm{T} \Rightarrow \mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{1}$ R.H.S. Dimension equation of; $2 \pi \sqrt...
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