A waveform given by: \(y=3A\sin(\omega t-kx)\)
is superposed with another waveform \(y=4A\cos(\omega t-kx).\) The amplitude of the resulting waveform will be:
1.
\(7A\)
2.
\(A\)
3.
\(3.5A\)
4.
\(5A\)
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Subtopic: Â Wave Motion |
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A sinusoidal waveform is travelling along the \(x \)-axis. The phase difference between two particles separated by \(10~\text{cm}\) is \(\dfrac\pi{2}{}.\) The wavelength of the wave is:
1. \(20~\text{cm}\)
2. \(30~\text{cm}\)
3. \(40~\text{cm}\)
4. \(80~\text{cm}\)
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Sinusoidal sound waves of the same frequency travelling in air along the \(x\)-axis and the \(y\)-axis arrive in phase with each other at the origin. Their amplitudes are equal to \(A\) (each). The amplitude of the vibration at the origin is:
Two waves are represented by the equations \(y_1 = a\sin(\omega t+kx+0.57)~\text{m}\) and \(y_2 = a\cos(\omega t+kx)~\text{m},\) where \(x\) is in meters and \(t\) in seconds. The phase difference between them is:
1. \(1.25\) rad
2. \(1.57\) rad
3. \(0.57\) rad
4. \(1.0\) rad
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Subtopic: Â Wave Motion |
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