Continuity at A Point We say a function f(x) is continuous at a point x = a it means at a point (a, f (a)). The graph of the function has no holes or graphs. That is, its graph is unbroken at point (a, f (a)). The continuity at x = a₂ can be destroyed if Read more about Continuity at A Point[…]
Electromagnetic Waves Electromagnetic waves are formed when an electric field comes in contact with a magnetic field. They are hence known as “Electromagnetic Waves”. The electric field and magnetic field of an electromagnetic wave are perpendicular (at right angles) to each other. They are also perpendicular to the direction of the EM wave. The waves Read more about Electromagnetic Waves[…]
Relations between Roots and Coefficients If α₁, α₂, … αn are roots of the equation f(x) = aₒ xⁿ + a₁ x ⁿˉ¹ + a₂ x ⁿˉ² +. . . + an = 0 then f(x) = aₒ(x – α₁) (x – α₂) ….. (x – αn) aₒ xⁿ + a₁ x ⁿˉ¹ + a₂ Read more about Relations between Roots and Coefficients[…]
Amplitude Modulation Modulation is the process by which one or more properties of the digital or analog signal are varied so that the signal can travel longer distance from its source to destination. We know that the sound wave travels through the medium (air) but while in transit it gets absorbed by objects and hence Read more about Amplitude Modulation[…]
Roots of a Quadratic Equation with Real Coefficients An equation of the form ax² + bx + c = 0 … (i) Where a ≠ 0, a, b, c є R is called quadratic equation with real coefficients. The quality D = b² – 4ac is known as the discriminant of the quadratic equation in Read more about Roots of a Quadratic Equation with Real Coefficients[…]
Energy Stored in a Capacitor A capacitor is a device for storing energy. When we connect a battery across the two plates of a capacitor, it gets charged. The potential difference gradually increases across the two plates and the battery had to do more work to deliver the same amount of charge due to the Read more about Energy Stored in a Capacitor[…]
Birla Institute of Technology and Science Admission Test (BITSAT) 2018 Notification Released What is BITSAT? The Birla Institute of Technology and Science (BITS) Pilani is an all India Institution declared as Deemed to be University under Section 3 of the UGC Act. Admissions to all the Integrated First Degree programmes of BITS, Pilani, at Pilani Read more about Birla Institute of Technology and Science Admission Test (BITSAT) 2018 Notification Released[…]
Transformation of Equation Transformation equation 1: Transformation of an equation into another equation whose roots are the reciprocals of the roots of the given equation. Let f(x) = aₒ xⁿ + a₁ x ⁿˉ¹ + a₂ x ⁿˉ² +. . . + an … (1) Be the given equation. Let x and y be respectively Read more about Transformation of Equation[…]
Principle of Superposition of Waves The principle of Superposition states that when two waves of the same kind meet at a point in space, the resultant displacement at that point is the vector sum of the displacements that the two waves would separately produce at that point. Interference refers to the superposing of two or Read more about Principle of Superposition of Waves[…]
Ideal Gas Equation To know the property of gasses we need to have a standard gas, but which gas should it be? Helium, Oxygen, Nitrogen, Hydrogen, Carbon dioxide and there are thousands of other gasses we have to learn, but our scientists have found that no matter what gas we study, if we take one Read more about Ideal Gas Equation[…]