Engineering
Physics
Interference of Sound Wave
Question

The correct figure that shows, schematically, the wave pattern produced by superposition of two waves of frequencies 9 Hz and 11 Hz is :

JEE Advance
College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Solution

When two waves of frequencies 9 Hz and 11 Hz superpose, they produce beats. The beat frequency is the difference between the two frequencies: fb=|f1-f2|=|11-9|=2Hz. This means the amplitude of the resultant wave modulates (increases and decreases) 2 times per second. The wave pattern should show a high-frequency carrier wave (average frequency 10 Hz) whose amplitude is slowly varying at 2 Hz.

Final Answer: The figure showing a wave with a fast oscillation whose amplitude pulsates slowly at a 2 Hz rate.