Which one of the following statements is true?

1. Both light and sound waves in the air are transverse.
2. The sound waves in the air are longitudinal while the light waves are transverse.
3. Both light and sound waves in the air are longitudinal.
4. Both light and sound waves can travel in a vacuum.
Subtopic:  Types of Waves |
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Which of the following is a mechanical wave?

1. Radio waves 2. X-rays
3. Light waves 4. Sound waves
Subtopic:  Types of Waves |
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Velocity of sound in air is \(332\) m/s. Its velocity in the vacuum will be:
1. \(>332\) m/s
2. \(=332\) m/s
3. \(<332\) m/s
4. meaningless

Subtopic:  Types of Waves |
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A wave moving in a gas:

1. must be longitudinal 2. may be longitudinal
3. must be transverse 4. may be transverse
Subtopic:  Types of Waves |
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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. \(5A\)
Subtopic:  Wave Motion |
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A sinusoidal waveform is travelling along the \(x \)-axis. The phase difference between two particles separated by \(10\) cm is \(\frac\pi{2}{}.\) The wavelength of the wave is:
1. \(20\) cm
2. \(30\) cm
3. \(40\) cm
4. \(80\) cm
Subtopic:  Wave Motion |
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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:
               
1. \(A\)
2. \(\sqrt 2A\)
3. \(2A\)
4. \((2+\sqrt2)A\)
Subtopic:  Wave Motion |
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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
Subtopic:  Wave Motion |
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If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is: 
1. \(1:2\)
2. \(1:1\)
3. \(\sqrt{2}:1\)
4. \(1:\sqrt{2}\)
Subtopic:  Travelling Wave on String |
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A rope of uniform mass per unit length \(\mu\) is suspended from the ceiling, hanging under its own weight. If a small transverse pulse is formed at its lower end \(A\), it travels upward with a local speed \(v=\sqrt {\dfrac{\text{tension}}{\text{mass/length}}}\).
                         
The speed of the pulse is:
1. maximum at \(A\), minimum at \(O\)
2. minimum at \(A\), maximum at \(O\)
3. uniform
4. minimum at \(A\) and \(O\), maximum in the middle
Subtopic:  Travelling Wave on String |
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