Position of Roots of a Polynomial Equation Some results on roots of an equation: The following are results on the roots of a polynomial equation with rational coefficients: An equation of degree n has n roots, real or imaginary. Imaginary roots always occur in pairs i.e., if 2 – 3i is a root of an equation, then Read more about Position of Roots of a Polynomial Equation[…]
AC Voltage Source Applied Across a Capacitor The purpose of a capacitor is to store energy in the form of an electrical charge, on its plates. When a capacitor is connected across a DC supply voltage it charges up to the value of the applied voltage at a rate determined by its time constant. We Read more about AC Voltage Source Applied Across a Capacitor[…]
Fundamental Principles of Counting Fundamental Principles of Multiplication: If there are two jobs such that one of them can be completed in m ways and when t has been completed in any one of these m ways, second job can be completed in n ways, then the two jobs in succession can be m x Read more about Fundamental Principles of Counting[…]
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[…]
Selection of One or More Objects Selection from Different Objects: The number of ways of selecting one or more items from a group of n distinct item is 2ⁿ – 1. Example: A man has 6 friends, in how many ways may he invite one or more of them to dinner? Solution: The man has Read more about Selection of One or More Objects[…]
Young’s double slit Experiment Young’s interference experiment, also called Young’s double-slit interferometer, was the original version of the modern double-slit experiment, performed at the beginning of the nineteenth century by Thomas Young. This experiment played a major role in the general acceptance of the wave theory of light. Young’s double slit experiment uses two coherent sources of light placed at a small distance Read more about Young’s Double Slit Experiment[…]
Permutations Each of the different arrangements which can be made by taking some or all of a number of distinct objects is called a permutation. If n is a natural number and r is a positive integer satisfying 1 ≤ r ≤ n then the natural number is denoted by the symbol ⁿPr or P Read more about Permutations[…]
Trigonometric Ratios of Multiple and Substitute Angles 1. Sin2A = 2sinA cosA 2. Cos2A = cos²A – sin²A 3. Cos2A = 2cos²A – 1 (or) 1 + cos2A = cos²A 4. Cos2A = 1 – 2sin²A (or) 1 – cos2A = 2cos²A 5. 6. 7. The above relation are true for all values of angle Read more about Trigonometric Ratios of Multiple and Substitute Angles[…]
NPAT (NMIMS Programs After Twelfth) 2018 Notification Released What is NPAT? NPAT 2018 (NMIMS Programs After Twelfth) is the official entrance test for admissions to Undergraduate Degree and Integrated Degree Programs (Academic session 2017-18) being offered by constituent schools of SVKM’s Narsee Monjee Institute of Management Studies (Deemed to be University u/s 3 of UGC act Read more about NPAT (NMIMS Programs After Twelfth) 2018 Notification Released[…]
Bohr’s Theory of Hydrogen Atom Niels Bohr suggested that the problem about hydrogen spectrum can be solved if we can make some assumptions. According to classical theory, the frequency of the electromagnetic waves emitted by a revolving electron is equal to the frequency of revolution. As the electrons radiate energy, their angular velocities would change Read more about Bohr’s Theory of Hydrogen Atom[…]