11P14

 11P14 Waves


Virtual Oscilloscope to try different waveforms and also to input your voice.



What is meant by Phase Difference?
How is a wave different from an oscillating particle?



Forward Moving Wave and Reverse Moving Wave
\[y=A \hspace{2mm} sin\left(\omega t - k x \right)\]
\[y=A \hspace{2mm} sin\left(\omega t + k x \right)\]
What is the difference between
\[y=A\hspace{2mm} sin\left(\omega t - k x \right)\]\[y=A\hspace{2mm} sin\left(k x - \omega t \right)\]



Standing Waves
\[y_1=A \hspace{2mm} sin\left(\omega t - k x \right)\]
\[y_2=A \hspace{2mm} sin\left(\omega t + k x \right)\]
\[y_{resultant}=y_1 + y_2\]




Beats Frequency
\[y_1=A \hspace{2mm} sin\left(\omega_1 t \right)\]
\[y_2=A \hspace{2mm} sin\left(\omega_2 t \right)\]
\[y_{resultant}=y_1 + y_2\]




Beat Simulator with Visual Sine waves and Sounds




Online tone generator for Beats Simulation, 
Beat Frequency will be the difference between the two input frequencies, 
which are to be kept slightly different.



Wave Pulse Equation
\[y=\frac{1}{1+(x-vt)^2}\]
This is the general equation of a pulse, $f(x-vt)$
Shape remains same but moves in the X axis




Two pulses traveling does not affect the other, they are independently moving across, overlapping or interfering when they come together and then pass on as though nothing has happened.





To understand the elements in a wave equation such as angular frequency w, angular wave number k, amplitude A, wave movement direction wt-kz or wt+kz





What is Doppler Effect?
What do you mean by Source Frequency and Observed Frequency?


















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