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Wavelength

2,241 bytes added, 13:42, 18 February 2019
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| style="height:20px; width:200px; text-align:center;" |The [[wavelength]] is the length of one [[wave]] including the peak and trough.
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==Key Stage 4==
===Meaning===
[[Wavelength]] is the distance between two identical points on adjacent [[waves]].
 
===About Wavelength===
: [[Wavelength]] is a [[scalar]] quantity because it has [[magnitude]] only.
: The [[SI Unit]] of [[wavelength]] is the [[metre]].
 
{| class="wikitable"
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|[[File:Wavelength.png|center|400px]]
 
|-
| style="height:20px; width:200px; text-align:center;" |The [[wavelength]] is the length of one [[wave]] including the peak and trough.
|}
 
===Equation===
''NB: You should remember this equation with v as the subject of the formula.''
Wavelength = (Wave Speed)/(Frequency)
 
<math> \lambda = \frac{v}{f}</math>
 
Where:
 
<math> \lambda</math> = The [[wavelength]] of the [[wave]].
 
<math>v</math> = The [[Wave Speed|wave speed]] of the [[wave]].
 
<math>f</math> = The [[frequency]] of the [[wave]].
 
===Example Calculations===
{| class="wikitable"
| style="height:20px; width: 300px; text-align:center;" |A [[wave]] with [[frequency]] 700Hz travels at a [[speed]] of 340m/s. Calculate the [[wavelength]] of the [[wave]] correct to two [[Significant Figures|significant figures]].
| style="height:20px; width: 300px; text-align:center;" |A 630MHz [[radiowave]] travels at 300,000,000m/s in a [[vacuum]]. Calculate the [[wavelength]] of this [[radiowave]] correct to two [[Significant Figures|significant figures]].
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| style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities'''
 
f = 700Hz
 
v = 340m/s
| style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities'''
 
f = 630MHz = 630x10<sup>6</sup>Hz
 
v = 300,000,000m/s = 3x10<sup>8</sup>m/s
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| style="height:20px; width: 300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
 
<math> \lambda = \frac{v}{f}</math>
 
<math> \lambda = \frac{340}{700}</math>
 
<math> \lambda = 0.48571m</math>
 
<math> \lambda \approx 0.48m</math>
 
| style="height:20px; width: 300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
 
<math> \lambda = \frac{v}{f}</math>
 
<math> \lambda = \frac{630 \times 10^6}{3 \times 10^8}</math>
 
<math> \lambda = 2.1m</math>
|}