Changes

====Finding Wavelength using Wave Speed from Distance Travelled and Time TakenFrequency==== {| 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]].|-| 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 = 630x10⁶Hz v = 300,000,000m/s = 3x10⁸m/s|-| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].''' <math>v = f \lambda</math> <math>340 = 700 \times \lambda</math> | style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].''' <math>v = f \lambda</math> <math>3 \times 10^8 = 630 \times 10^6 \times \lambda</math>|-| style="height:20px; width: 300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].''' <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;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].''' <math> \lambda = \frac{630 \times 10^6}{3 \times 10^8}</math> <math> \lambda = 2.1m</math>|} ====Finding Frequency using Wave Speed and Wavelength==== 

| style="height:20px; width:300px; text-align:center;" |A scientist [[observemicrowave]]travelling at a speed of 3.0x10⁸m/s has a [[wavewavelength]] in a ripple tank. The length of the tank is 0.75m and it takes 051m. Calculate the [[wavefrequency]] 1.2 seconds to get from one end of the tank to the other. Calculate the '''wave speed''' of the [[wave]] correct to two [[Significant Figures|significant figures]].| style="height:20px; width:300px; text-align:center;" |A surfer wants to know how fast the An [[ultrasound]] [[wave]]s are travelling on a windy dayof [[wavelength]] 0. The surfer observes a 125m passes through an [[waveIron]] takes 15 block at a [[secondspeed]]of 5000m/s to travel between two buoys. The surfer knows the distance between the buoys is 63m. Calculate the [[speedfrequency]] of the [[wave]] correct to two [[Significant Figures|significant figures]].

x v = 03.75m0x10⁸m/s

t λ = 10.2s051m

x v = 63m5000m/s

t λ = 15s0.125m

| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the and [[Evaluate (Maths)|evaluate]].''' <math>v = f \lambda</math> <math>3.0 \times 10^8 = f \times 0.051</math>| style="height:20px; width:300px; text-align:left;" |'''2. [[equationSubstitute (Maths)|Substitute]] the numbers and [[Solve Evaluate (Maths)|solveevaluate]].'''

<math>v = f \frac{x}{t}lambda</math>

<math>v 5000 = f \frac{times 0.75}{1.2}125</math>|-| style="height:20px; width:300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''

<math>v f = \frac{3.0 \times 10^8}{0.625m/s051}</math>

<math>v \approx 0.63m/sf = 5882352941Hz</math>| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''

<math>v = f \frac{x}{t}approx 5900000000Hz</math>| style="height:20px; width:300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''

<math>v f = \frac{635000}{150.125}</math>

<math>v f = 4.2m/s40000Hz</math>