What is the equation for sine wave?
A general form of a sinusoidal wave is y(x,t)=Asin(kx−ωt+ϕ) y ( x , t ) = A sin ( kx − ω t + ϕ ) , where A is the amplitude of the wave, ω is the wave’s angular frequency, k is the wavenumber, and ϕ is the phase of the sine wave given in radians.
What is a sine wave in physics?
A sine wave is a geometric waveform that oscillates (moves up, down, or side-to-side) periodically, and is defined by the function y = sin x. In other words, it is an s-shaped, smooth wave that oscillates above and below zero.
Which of the following method is used to solve wave equation?
Explanation: The Bisection method, also known as binary chopping or half-interval method, is a starting method which is used, where applicable, for few iterations, to obtain a good initial value. 8. Wave equation is a linear elliptical partial differential equation.
How do you derive a wave equation?
The wave equation is derived by applying F=ma to an infinitesimal length dx of string (see the diagram below). We picture our little length of string as bobbing up and down in simple harmonic motion, which we can verify by finding the net force on it as follows.
What is the order of wave equation Mcq?
Wave equation is a third-order linear partial differential equation. Explanation: The wave equation is a second-order linear partial differential equation which is developed for the description of waves (water waves, sound waves, seismic waves, light waves), acoustics, electromagnetics, and fluid dynamics.
What is the period of a sine wave?
The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π.
What is the period in a sine function?
The period of the sine function is 2π, which means that the value of the function is the same every 2π units.
What does the T stands in wave equation Mcq?
The Wave Equation MCQ Question 9 Detailed Solution Time Period (T): Time taken by the wave to travel a distance equal to one wavelength. Amplitude (A): Maximum displacement of vibrating particles from the mean position.