Physics

Class 9

Class 10

Interactive Science Lab

Waves Simulator (Transverse & Longitudinal)

Explore transverse vs longitudinal waves, crests, troughs, compressions, rarefactions, wavelength, and wave speed (v = fλ).

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Waves Interactive Simulation

Explore transverse waves (crests & troughs) and longitudinal waves (compressions & rarefactions), amplitude, wavelength, frequency, and wave speed (v = fλ).

Class 9 Physics

Unit 10

Transverse Wave Simulator(v = f · λ = 2 m/s)

Elapsed Time:0.00 s

Wave Speed (v):2 m/s

Wave Type:transverse

0s0.0s

Speed:

Wave Parameters

Wave Classification

Quick Preset Waves

Amplitude (A)

0.2 m1.4 m2.5 m

Wavelength (λ)

0.5 m (Short)2.5 m5.0 m (Long)

Frequency (f)

0.2 Hz2.0 Hz4.0 Hz (Fast)

Wave Parameters

Wave Classification

Quick Preset Waves

Amplitude (A)

0.2 m1.4 m2.5 m

Wavelength (λ)

0.5 m (Short)2.5 m5.0 m (Long)

Frequency (f)

0.2 Hz2.0 Hz4.0 Hz (Fast)

Derived Wave Properties

Class 9 Physics (SI Units)

m/s

v = f · λ

seconds (s)

T = 1 / f

meters (m)

Peak-to-Peak

Hertz (Hz)

Cycles per second

meters (m)

Max displacement

Transverse vs Longitudinal Waves (Board Exam Comparison)

Property	Transverse Wave	Longitudinal Wave
Particle Vibration	Perpendicular (↕) to wave	Parallel (↔) to wave
Key Features	Crests & Troughs	Compressions & Rarefactions
Wavelength (λ)	Crest-to-Crest distance	Compression-to-Compression distance
Examples	Water ripples, light, guitar string	Sound waves, ultrasound, coiled spring

Important Conceptual Note: In a real physical medium, wave speed v depends primarily on the medium's elasticity and density. When the frequency changes in a fixed medium, the wavelength automatically adjusts so that v = fλ remains constant.

Step-by-Step Mathematical Calculations

Class 9 Physics (Sindh & Karachi Textbook Board Curriculum)

Step 1[s]

Calculate Time Period (T)

T = \frac{1}{f}

Sub: T = \frac{1}{1}

Result:1 s

Step 2[m/s]

Calculate Wave Speed (v = fλ)

v = f \times \lambda

Sub: v = 1 \times 2

Result:2 m/s

Step 3[rad/s]

Calculate Angular Frequency (ω)

\omega = 2\pi f

Sub: \omega = 2 \times 3.1416 \times 1

Result:6.283 rad/s

Step 4[rad/m]

Calculate Wave Number (k)

k = \frac{2\pi}{\lambda}

Sub: k = \frac{2 \times 3.1416}{2}

Result:3.142 rad/m

Class 9 Board Definitions: Wave Equation (v = fλ)

Wave Speed (v): The distance covered by a wave per unit time (v = f × λ or v = λ / T). Unit: m/s.
Frequency (f): The number of complete waves passing a fixed point per second (f = 1 / T). Unit: Hertz (Hz).
Wavelength (λ): The distance between two consecutive points in the same phase of vibration (e.g. crest-to-crest or compression-to-compression). Unit: meters (m).
Energy Transfer: A wave transfers energy and momentum from one place to another without transporting matter.

Board Numerical Practice & Challenges

Class 9 Karachi/Sindh Board wave equations with live simulation verification.

Calculate Wave Speed (v = fλ)

Past Paper: Karachi Board 2023

A ripple wave has a frequency of f = 2.0 Hz and a wavelength of λ = 2.0 m. Calculate the wave speed in m/s.

m/s

Syllabus Mapping & Learning Objectives

This interactive tool is modeled directly after the official Pakistani textbook curriculam (Sindh Textbook Board, Federal Board Islamabad, and Punjab Textbook Board). It provides live parameter tuning so students can test hypotheses, predict exam outcomes, and observe physical/chemical laws mathematically.

Key Topics Covered

WavesSoundWave Equation

More Study Resources

Pair this simulation with verified solved board past papers and chapter revision notes.

Solved Board Past Papers Chapter-Wise Revision Guides Online Scientific Calculator