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Wavelength

6,091 bytes added, 12:04, 25 December 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.
|}
 
==Key Stage 4==
===Meaning===
[[Wavelength]] is the distance between two identical points on adjacent [[wave]]s.
 
===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]]
 
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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.
|}
 
===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===
{| border="1" style="border-collapse:collapse"
| 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]].
|-
| 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
|-
| 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>
|}
 
===References===
====AQA====
 
:[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Wavelength, page 183, GCSE Physics, Hodder, AQA '']
:[https://www.amazon.co.uk/gp/product/1782945598/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945598&linkCode=as2&tag=nrjc-21&linkId=ad276ad49df77ab4b40ab4fd0fe10426 ''Wavelength, page 219, GCSE Combined Science; The Revision Guide, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/178294558X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=178294558X&linkCode=as2&tag=nrjc-21&linkId=f0dfb66dafcb0c6e9449e7b1a4ae1ac495 ''Wavelength, page 73, GCSE Physics; The Revision Guide, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/1782946403/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946403&linkCode=as2&tag=nrjc-21&linkId=32a0abb60dff015b15b50e9b1d7b4644 ''Wavelength, pages 189, 191, 194, 196, 200, GCSE Combined Science Trilogy; Physics, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/0008158770/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0008158770&linkCode=as2&tag=nrjc-21&linkId=ec31595e720e1529e49876c3866fff6e ''Wavelength, pages 191-3, 200-1, 213, 237, 288-9, GCSE Physics; Student Book, Collins, AQA '']
:[https://www.amazon.co.uk/gp/product/1782945970/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945970&linkCode=as2&tag=nrjc-21&linkId=a120d24dcc7cc7a58192069a3aafc1d2 ''Wavelength, pages 226, 228, 231, 233, 242, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/1471851362/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851362&linkCode=as2&tag=nrjc-21&linkId=7d78d70a2044ee9982dae010c94af92a ''Wavelength, pages 257, GCSE Combined Science Trilogy 2, Hodder, AQA '']
:[https://www.amazon.co.uk/gp/product/019835939X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=019835939X&linkCode=as2&tag=nrjc-21&linkId=57e96876985fc39b1a3d8a3e3dc238b6 ''Wavelengths, pages 176, 190-191, 194, 205-206, GCSE Physics; Third Edition, Oxford University Press, AQA '']
 
====Edexcel====
 
:[https://www.amazon.co.uk/gp/product/1782945741/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945741&linkCode=as2&tag=nrjc-21&linkId=30da4f2178da182547b62a7329d13b57 ''Wavelength, pages 164-166, GCSE Combined Science; The Revision Guide, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782945733/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945733&linkCode=as2&tag=nrjc-21&linkId=2a2dbec9db6bf5766c0458d908fa0a52 ''Wavelength, pages 32, 34, 40, 61, GCSE Physics; The Revision Guide, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1292120223/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120223&linkCode=as2&tag=nrjc-21&linkId=068ecf40278c32406a7f1c6e66751417 ''Wavelength, pages 49, 94, GCSE Physics, Pearson Edexcel '']
 
====OCR====
:[https://www.amazon.co.uk/gp/product/0198359837/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359837&linkCode=as2&tag=nrjc-21&linkId=3c4229e8b023b2b60768e7ea2307cc6f ''Wavelength, pages 142-144, 153, 256, Gateway GCSE Physics, Oxford, OCR '']
:[https://www.amazon.co.uk/gp/product/1782945695/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945695&linkCode=as2&tag=nrjc-21&linkId=ceafcc80bcad6b6754ee97a0c7ceea53 ''Wavelength, pages 186-188, 192, Gateway GCSE Combined Science; The Revision Guide, CGP, OCR '']
:[https://www.amazon.co.uk/gp/product/1782945687/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945687&linkCode=as2&tag=nrjc-21&linkId=9a598e52189317a20311d7a632747bc9 ''Wavelength, pages 59-61, 63, 66, 70, 98, Gateway GCSE Physics; The Revision Guide, CGP, OCR '']
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