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Maths 1

Applications of De-Moivre’s Theorem

De-Moivre’s Theorem: A simple formula for calculating powers of complex numbers in the form of cosθ and sinθ is known as de-Moivre’s theorem. If n is a rational number, then (cosθ + sinθ)ⁿ = cos nθ + i sin nθ. Applications of De-Moivre’s Theorem: If z = (cosθ₁ + i sinθ₁) (cosθ₂ + i sinθ₂) … Read more about Applications of De-Moivre’s Theorem[…]

Physics

Electrical Insulators

Electrical Insulators Electrical Insulator must be used in electrical system to prevent unwanted flow of current to the earth from its supporting points. The insulator plays a vital role in electrical system. Electrical Insulator is a very high resistive path through which practically no current can flow. Electrical insulators are different from electrical conductors. Electrical conductors are those materials which propagate the ease of Read more about Electrical Insulators[…]

Maths 1

Variance and Standard Deviation of Ungrouped Data

Variance and Standard Deviation of Ungrouped Data Formulas: The variance is . Then ‘σ’ the standard deviation is given by the positive square root of the variance . Calculation of Variance and Standard Deviation for an Ungrouped Data 1. Find the variance and standard deviation of following data 5, 12, 3, 18, 6, 8, 2, Read more about Variance and Standard Deviation of Ungrouped Data[…]

Maths 1

Mean Deviation about the Median and Mean Deviation from the Mean

Mean Deviation about the Median and Mean Deviation from the Mean   Mean Deviation about the Median: To find the mean deviation about the median we have to find the median of the given discrete frequency distribution. After arranging the observations in either ascending order, we shall find the sum of the frequency ∑fᵢ = Read more about Mean Deviation about the Median and Mean Deviation from the Mean[…]

Oblique Collision

Collisions

Collisions Collision is an event that demands involvement and interaction of at least two objects. In course of occurrence of such event interaction amongst object occur and each object experiences impulsive forces – a force which occur for a very small duration, from other. This impulsive force is responsible for change in momentum of the object Read more about Collisions[…]