If we study the vibration of a pipe open at both ends, then which of the following statements is not true: 1. Odd harmonics of the fundamental frequency will be generated. 2. All harmonics of the fundamental frequency will be generated. 3. Pressure change will be maximum at both ends. 4. The open end will be an antinode.

Subtopic:  Standing Waves |
57%
From NCERT
AIPMT - 2013
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A source of unknown frequency gives $$4$$ beats/s when sounded with a source of known frequency of $$250~\text{Hz}$$. The second harmonic of the source of unknown frequency gives five beats per second when sounded with a source of frequency of $$513~\text{Hz}$$. The unknown frequency will be:

 1 $$246~\text{Hz}$$ 2 $$240~\text{Hz}$$ 3 $$260~\text{Hz}$$ 4 $$254~\text{Hz}$$
Subtopic:  Beats |
77%
From NCERT
AIPMT - 2013
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A wave traveling in the +ve $$x$$-direction having maximum displacement along $$y$$-direction as $$1~\text{m}$$, wavelength $$2\pi ~\text{m}$$ and frequency of $$\frac{1}{\pi}~\text{Hz}$$, is represented by:
1. $$y=\sin (2 \pi x-2 \pi t)$$
2. $$y=\sin (10 \pi x-20 \pi t)$$
3. $$y=\sin (2 \pi x+2 \pi t)$$
4. $$y=\sin (x-2 t)$$

Subtopic:  Wave Motion |
86%
From NCERT
AIPMT - 2013
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Two sources of sound placed close to each other, are emitting progressive waves given by,
$$y_1=4\sin 600\pi t$$ and $$y_2=5\sin 608\pi t$$.
${}_{}$An observer located near these two sources of sound will hear:

 1 $$4$$ beats per second with intensity ratio $$25:16$$ between waxing and waning 2 $$8$$ beats per second with intensity ratio $$25:16$$ between waxing and waning 3 $$8$$ beats per second with intensity ratio $$81:1$$ between waxing and waning 4 $$4$$ beats per second with intensity ratio $$81:1$$ between waxing and waning

Subtopic:  Beats |
60%
From NCERT
AIPMT - 2012
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Two waves are represented by the equations ${y}_{1}=a$ $\mathrm{sin}\left(\omega t+kx+0.57\right)$ $m$ and
${y}_{2}=a\mathrm{cos}\left(\omega t+kx\right)$ $m$, where $$x$$ is in metres 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 |
67%
From NCERT
AIPMT - 2011
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Sound waves travel at $$350$$ m/s through warm air and at $$3500$$ m/s through brass. The wavelength of a $$700$$ Hz acoustic wave as it enters brass from warm air:

 1 increase by a factor of $$20$$ 2 increase by a factor of $$10$$ 3 decrease by a factor of $$20$$ 4 decrease by a factor of $$10$$
Subtopic:  Speed of Sound |
77%
From NCERT
AIPMT - 2011
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A transverse wave is represented by y = Asin(ωt -kx). At what value of the wavelength is the wave velocity equal to the maximum particle velocity?

1. $\pi$A/2

2. $\pi$A

3. 2$\pi$A

4. A

Subtopic:  Wave Motion |
84%
From NCERT
AIPMT - 2010
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A tuning fork of frequency $$512$$ Hz makes $$4$$ beats/s with the vibrating string of a piano. The beat frequency decreases to $$2$$ beats/s when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was:
1. $$510$$ Hz
2. $$514$$ Hz
3. $$516$$ Hz
4. $$508$$ Hz

Subtopic:  Beats |
70%
From NCERT
AIPMT - 2010
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A wave in a string has an amplitude of 2 cm. The wave travels in the positive direction of the x-axis with a speed of 128 m/s and it is noted that 5 complete waves fit in the 4 m length of the string. The equation describing the wave is:

 1 y = (0.02)m sin(7.85x+1005t) 2 y = (0.02)m sin(15.7x -2010t) 3 y = (0.02)m sin(15.7x+2010t) 4 y = (0.02)m sin(7.85x -1005t)

Subtopic:  Wave Motion |
72%
From NCERT
AIPMT - 2009
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Each of the two strings of lengths 51.6 cm and 49.1 cm is tensioned separately by 20 N of force. The mass per unit length of both strings is the same and equals 1 g/m. When both the strings vibrate simultaneously, the number of beats is:

 1 5 2 7 3 8 4 3
Subtopic:  Beats |
56%
From NCERT
AIPMT - 2009
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