*Shape of y versus x graph Let a physical quantity y depends on other physical quantity x, this dependence is called a mathematical function & usually expressed as y = f (x) (read as y is a function of x). The dependence of y on x can be visualised by drawing a graph of function […]
*Mean of n terms If x1, x2, _ _ _ _ _ _ _ _ _ , xn be n quantities then their If A, G and H be A.M., G.M. and H.M. between two numbers, then (a) A ³ G ³ H,(b) G2 = A .H Series
*Harmonic progression If a, a + d, a + 2d, _ _ _ _ _ _ _ are in AP, then their reciprocals are in harmonic progression (HP).
*Arithmetic progression
*Geometric progression Example of GP: a, a r, ar2, _ _ _ _ _ _ n th term of an GP: Tn = T1r n – 1 Sum to first n – term of a GP: Sn =
*Laws of log Examples log 3587 = 3.5548 log 358.7 = 2.5548 log 35.87 = 1.5548 log 3.587 = 0.5548 antilog 0.5220 = 3.327 antilog 1.5220 = 33.27 antilog 2.5220 = 332.7
*Laws of log
*Characteristic & Mantisa The integral part of the logarithm is called Characteristic and the decimal part called Mantisa. Characteristic may be positive, zero or negative. Negative characteristic is, it is represented it with a bar. The mantisa should be positive, if not, we try to make it by rearrangement as illustrated below log10 N = […]
*Logarithms Let a is an arbitrary positive real number except 0. If ax = y, then logay = x Conversely, the antilogarithm of x is the number y i.e. y = antilogax. Here ax = y is called arbitrary exponential function and loga y = x is read is log of y to the base […]
*Logarithms Let a is an arbitrary positive real number except 0. If ax = y, then logay = x Conversely, the antilogarithm of x is the number y i.e. y = antilogax. Here ax = y is called arbitrary exponential function and loga y = x is read is log of y to the base […]
Our objective is to create a situation where students will find Physics interesting & the strongest subject helping them to achieve top ranks in competitive exams.
Copyright © 2021 KP Institute of Physics | Powered by RiAcub
Call 9872662552