Velocity of Longitudinal Wave 1) Velocity of Sound in any Elastic Medium: It is given by . a) In solids, ; Where Y = Young’s modulus of elasticity. b) In a liquid and gaseous medium, ; where B = Bulk modulus of elasticity of liquid or gaseous medium. c) As solids are most elastic while Read more about Velocity of Longitudinal Wave[…]
Removable Discontinuity necessarily exists, but is either not equal to f(a) or f(a) is not defined. In this case, it is, possible to redefine the function in such that a manner that and thus, make the function continuous. Consider the function g(x) = (sin x)/x. the function is not defined at x = 0. So, Read more about Removable Discontinuity[…]
Velocity of Transverse Wave In a transverse wave the particle displacement is perpendicular to the direction of wave propagation. The velocity of a transverse wave in a stretched string is: . Where, T = Tension in the string, m = Linear density of string. 1) If A is the area of cross section of the Read more about Velocity of Transverse Wave[…]
Functional Equations Functional equation is any equation that specifies a function in implicit form. Often, the equation relates the value of a function (or functions) at some point with its values at other points. For instance, the properties of functions can be determined by considering the types of functional equations the satisfy. Functional equations satisfied Read more about Functional Equations[…]
Christian Medical College Post Graduation (CMC PG) 2020 Application Started All candidates are aware of the objectives of the Christian Medical College Vellore, which is “the establishment, maintenance and development of a Christian Medical College and Hospitals in India, where women and men shall receive an education of the highest grade in the art and Read more about Christian Medical College Post Graduation (CMC PG) 2020 Application Started[…]
General and Particular Solution of a Differential Equation We have solved the equation of the type: x² + 1 = 0 … (1) sin²x – cosx = 0 … (2) solution of equation (1) and (2) are numbers, real or complex, that will satisfy the given equation i.e., when that number is substituted for the Read more about General and Particular Solution of a Differential Equation[…]
Diffraction of Light The phenomenon of diffraction was first discovered by Girmaldi. Its experimental study was done by Newton’s and young. The theoretical explanation was first given by Fresnel’s. 1) The phenomenon of bending of light around the corners of an obstacle/ aperture of the size of the wave length of the light is called Read more about Diffraction of Light[…]
Amity University Joint Entrance Exam (Amity JEE) 2020 Application Started At Amity we are passionate about grooming leaders who are not only thorough professionals but also good human beings with values and sanskars. Eligibility Criteria: B.Arch: 10+2 (Min. 60%) with Maths + NATA Score (Min. 80)* B.Tech: Min. 60% in class X & XII with Read more about Amity University Joint Entrance Exam (Amity JEE) 2020 Application Started[…]
National Law University All India Law Entrance Test (AILET) 2020 Exam Date Released The National Law University, Delhi will conduct “All India Law Entrance Test (AILET) 2020” for admission to Five Year B.A.LL.B. (Hons.), LL.M. and Ph.D Programme. Important Dates: Submission of Online Application First Week of January 2020 All India Law Entrance Test Sunday, Read more about National Law University All India Law Entrance Test (AILET) 2020 Exam Date Released[…]
Range of Expressions using Trigonometric Substitution Range of different trigonometric functions helps us to use these functions as substitution in many algebraic expressions. This simplifies the give expression to another expression, the range of which can be easily determined. Example 1: If x² + y² = 4, then find the maximum value of . Solution: Read more about Range of Expressions using Trigonometric Substitution[…]