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:
1. \(A\)
2. \(\sqrt 2A\)
3. \(2A\)
4. \((2+\sqrt2)A\)
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Subtopic: Â Wave Motion |
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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 tuning fork, placed in a room, vibrates according to the equation: \(Y=(10^{-4}~\text m)\sin\Big({\large\frac{2\pi t}{0.01~\text s}}\Big) \) where \(Y\) is the displacement of the tip of a prong. The speed of sound in air is \(330~\text{m/s.}\) The amplitude of vibration of the prong is:
1. \(10^{-4}~\text{m}\)
2. \(2\times10^{-4}~\text{m}\)
3. \(10^{-6}~\text{m}\)
4. \(2\times10^{-6}~\text{m}\)
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A tuning fork, placed in a room, vibrates according to the equation: \(Y=(10^{-4}~\text m)\sin\left({\Large\frac{2\pi t}{0.01~\text s}}\right)\) where \(Y\) is the displacement of the tip of a prong. The speed of sound in air is \(330~\text{m/s.}\) The frequency of the tuning fork is:
1. \(100~\text{Hz}\)
2. \(50~\text{Hz}\)
3. \(200~\text{Hz}\)
4. \(200\pi~\text{Hz}\)
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Subtopic: Â Wave Motion |
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