-
Notifications
You must be signed in to change notification settings - Fork 97
/
Copy pathbs22b009.tex
65 lines (36 loc) · 1.64 KB
/
bs22b009.tex
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
\documentclass[12pt,a4paper]{article}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{graphicx}
\usepackage[left=2cm,right=2cm,top=2cm,bottom=2cm]{geometry}
\author{Aryan Shirbhate}
\title{Speed of Wave}
\date{June 07, 2022}
\begin{document}
\maketitle
\maketitle
\section{Relation Between Velocity And Wavelength}
\textbf Wavelength is the measure of the length of a complete wave cycle. The velocity of a wave is the distance travelled by a point on the wave. In general, for any wave, the relation between velocity and wavelength is proportionate. It is expressed through the wave velocity formula.
\begin{equation}
\text{v} = \mu \cdot \lambda
\label{eqn:v}
\end{equation}
Where,
\begin{enumerate}
\item V is the velocity of the wave measured using m/s.
\item $\mu$ is the frequency of the wave measured using Hz.
\item $\lambda$ is the wavelength of the wave measured using m.
\end{enumerate}
\section{Velocity and Wavelength Relation}
Amplitude, frequency, wavelength, and velocity are the characteristic of a wave. For a constant frequency, the wavelength is directly proportional to velocity.
Given by:
V $\propto$ $\lambda$
Example:
\begin{itemize}
\item For a constant frequency, if the wavelength is doubled, the velocity of the wave will also double.
\item For a constant frequency, if the wavelength is made four times, the velocity of the wave will also be increased by four times.
\end{itemize}
\footnote{https://byjus.com/physics/relation-between-velocity-and-wavelength/}
\footnote{Github-id: Aryan7865}
\end{document}