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The fundamental frequency of a closed organ pipe of a length \(20\) cm is equal to the second overtone of an organ pipe open at both ends. The length of the organ pipe open at both ends will be:

1. | \(80\) cm | 2. | \(100\) cm |

3. | \(120\) cm | 4. | \(140\) cm |

Subtopic: Standing Waves |

77%

From NCERT

NEET - 2015

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If \(n_1\), \(n_2\)_{,} and \(n_3\)_{ }are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency \(n\) of the string is given by:

1. \( \frac{1}{n}=\frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}\)

2. \( \frac{1}{\sqrt{n}}=\frac{1}{\sqrt{n_1}}+\frac{1}{\sqrt{n_2}}+\frac{1}{\sqrt{n_3}}\)

3. \( \sqrt{n}=\sqrt{n_1}+\sqrt{n_2}+\sqrt{n_3}\)

4. \( n=n_1+n_2+n_3\)

Subtopic: Standing Waves |

77%

From NCERT

AIPMT - 2014

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The number of possible natural oscillations of the air column in a pipe closed at one end of length \(85\) cm whose frequencies lie below \(1250\) Hz are:(velocity of sound= $\mathrm{}$\(340~\text{m/s}\)

1. \(4\)

2. \(5\)

3. \(7\)

4. \(6\)

Subtopic: Standing Waves |

68%

From NCERT

AIPMT - 2014

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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 ${y}_{1}=a$ $\mathrm{sin}(\omega t+kx+0.57)$ $m$ and

${y}_{2}=a\mathrm{cos}(\omega t+kx)$ $m$,
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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