Speed, frequency and Wavelength

10 Ramped Wave Speed Equation Calculations (v = f × λ)

Use the wave speed equation to solve the following real-life problems. The questions become gradually more challenging and will require you to calculate wave speed, frequency and wavelength, as well as rearrange the equation. Remember to write down the equation, substitute the values carefully and include the correct units in your final answer.

Answers to Wave Equation Questions

1. Speed = distance ÷ time = 340 ÷ 1 = 340 m/s
2. Speed = distance ÷ time = 24 ÷ 8 = 3 m/s
3. Speed = distance ÷ time = 1500 ÷ 3 = 500 m/s
4. Speed = distance ÷ time = 45 ÷ 15 = 3 m/s
5. Speed = distance ÷ time = 1200 ÷ 4 = 300 m/s
6. Distance = speed × time = 330 × 5 = 1650 m
7. Time = distance ÷ speed = 72 ÷ 6 = 12 s
8. Time = distance ÷ speed = 4500 ÷ 1500 = 3 s
9. Speed = distance ÷ time = 360000 ÷ 600 = 600 m/s = 6.0 × 10² m/s
10. Distance = speed × time = (5.0 × 10³) × 80 = 400000 m = 4.0 × 10⁵ m

Calculation questions using the wave equation and The Electromagnetic spectrum

All electromagnetic waves travel at the same speed in a vacuum. In these questions, you will practise calculating speed, frequency and wavelength for different parts of the electromagnetic spectrum.

Answers to EM Spectrum Calculation Questions

1. Speed = frequency × wavelength = (1.0 × 10⁶) × 300 = 3.0 × 10⁸ m/s
2. Speed = frequency × wavelength = (2.5 × 10⁹) × 0.12 = 3.0 × 10⁸ m/s
3. Wavelength = speed ÷ frequency = (3.0 × 10⁸) ÷ (2.45 × 10⁹) = 0.122 m
4. Frequency = speed ÷ wavelength = (3.0 × 10⁸) ÷ (1.0 × 10⁻⁴) = 3.0 × 10¹² Hz
5. Frequency = speed ÷ wavelength = (3.0 × 10⁸) ÷ (6.0 × 10⁻⁷) = 5.0 × 10¹⁴ Hz
6. Wavelength = speed ÷ frequency = (3.0 × 10⁸) ÷ (1.0 × 10¹⁵) = 3.0 × 10⁻⁷ m
7. Frequency = speed ÷ wavelength = (3.0 × 10⁸) ÷ (2.0 × 10⁻¹⁰) = 1.5 × 10¹⁸ Hz
8. Wavelength = speed ÷ frequency = (3.0 × 10⁸) ÷ (5.0 × 10²⁰) = 6.0 × 10⁻¹³ m
9. Frequency = speed ÷ wavelength = (3.0 × 10⁸) ÷ (2.5 × 10⁻²) = 1.2 × 10¹⁰ Hz
10. Wavelength = speed ÷ frequency = (3.0 × 10⁸) ÷ (3.0 × 10¹⁸) = 1.0 × 10⁻¹⁰ m

10 Ramped Wave Speed Calculation Questions using Speed = distance/time

These questions will help you practise using the wave speed equation in a range of real-life situations. Start with straightforward calculations before moving on to rearranging the equation to find distance and time. Remember to include units in every answer and show all your working.

Frequency and Time Period

Frequency and Time Period Questions (f = 1/T)

In these questions, you will practise calculating frequency from time period, calculating time period from frequency, and applying your answers to real-life situations such as swings, washing machines, drones, loudspeakers and vibrating machines. Make sure your answers include the correct units (Hz for frequency and s for time period).

Wave Speed, Frequency and Time Period Ramped Calculations

These ramped GCSE Physics questions require you to combine your knowledge of wave speed, frequency and time period. You will need to use both the wave equation and the relationship between frequency and time period.

Magnification Questons for the lenses topic

Magnification is used to describe how much bigger or smaller an image appears compared to the actual object. These questions become gradually more challenging and involve microscopes, cameras, projectors and everyday situations.