Select Chapter Topics:

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: Â Speed of Sound |

Â 77%

From NCERT

AIPMT - 2011

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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: Â Types of Waves |

Â 81%

From NCERT

AIPMT - 2006

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The mathematical forms for three sinusoidal traveling waves are given by:

Wave \(1\): \(y(x,t)= (2~\text{cm})\sin(3x-6t)\)

Wave \(2\): \(y(x,t)= (3~\text{cm})\sin(4x-12t)\)

Wave \(3\): \(y(x,t)= (4~\text{cm})\sin(5x-11t)\)

where \(x\) is in meters and \(t\) is in seconds. Of these waves:

Wave \(1\): \(y(x,t)= (2~\text{cm})\sin(3x-6t)\)

Wave \(2\): \(y(x,t)= (3~\text{cm})\sin(4x-12t)\)

Wave \(3\): \(y(x,t)= (4~\text{cm})\sin(5x-11t)\)

where \(x\) is in meters and \(t\) is in seconds. Of these waves:

1. | Wave \(1\) has the highest wave speed as well as the maximum transverse string speed. |

2. | Wave \(2\) has the highest wave speed, while Wave \(1\) has the maximum transverse string speed. |

3. | Wave \(3\) has the highest wave speed as well as the maximum transverse string speed. |

4. | Wave \(2\) has the highest wave speed, while Wave \(3\) has the maximum transverse string speed. |

Subtopic: Â Wave Motion |

Â 72%

From NCERT

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A string of length \(3\) m and a linear mass density of \(0.0025\) kg/m is fixed at both ends. One of its resonance frequencies is \(252\) Hz. The next higher resonance frequency is \(336\) Hz. Then the fundamental frequency will be:

1. \(84~\text{Hz}\)

2. \(63~\text{Hz}\)

3. \(126~\text{Hz}\)

4. \(168~\text{Hz}\)

Subtopic: Â Standing Waves |

Â 76%

From NCERT

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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: Â Beats |

Â 77%

From NCERT

AIPMT - 2013

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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: Â Standing Waves |

Â 78%

From NCERT

NEET - 2015

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A uniform rope, of length \(L\) and mass \(m_1\), hangs vertically from a rigid support. A block of mass \(m_2\) is attached to the free end of the rope. A transverse pulse of wavelength \(\lambda_1\) is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is \(\lambda_2\)${\mathrm{}}_{}$. The ratio \(\frac{\lambda_2}{\lambda_1}\) is:

1. \(\sqrt{\frac{m_1+m_2}{m_2}}\)

2. \(\sqrt{\frac{m_2}{m_1}}\)

3. \(\sqrt{\frac{m_1+m_2}{m_1}}\)

4. \(\sqrt{\frac{m_1}{m_2}}\)

Subtopic: Â Travelling Wave on String |

Â 69%

From NCERT

NEET - 2016

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An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is \(50~\text{cm}\). The next larger length of the column resonating with the same tuning fork will be:

1. | \(100~\text{cm}\) | 2. | \(150~\text{cm}\) |

3. | \(200~\text{cm}\) | 4. | \(66.7~\text{cm}\) |

Subtopic: Â Standing Waves |

Â 79%

From NCERT

NEET - 2016

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The speed of sound in a medium is \(v\). If the density of the medium is doubled at constant pressure, what will be the new speed of sound?

1. | \(\sqrt{2} v \) | 2. | \(v \) |

3. | \(\frac{v}{\sqrt{2}} \) | 4. | \(2v\) |

Subtopic: Â Speed of Sound |

Â 78%

From NCERT

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The equation \(y(x,t) = 0.005 \cos (\alpha x- \beta t)\) describes a wave traveling along the \(x\text-\)axis. If the wavelength and the time period of the wave are \(0.08~\text{m}\) and \(2.0~\text{s}\), respectively, then \(\alpha\) and \(\beta\) in appropriate units are:

1. \(\alpha = 25.00\pi, \beta = \pi\)

2. \(\alpha = \frac{0.08}{\pi}, \beta = \frac{2.0}{\pi}\)

3. \(\alpha = \frac{0.04}{\pi}, \beta = \frac{1.0}{\pi}\)

4. \(\alpha = 12.50\pi, \beta = \frac{\pi}{2.0}\)

1. \(\alpha = 25.00\pi, \beta = \pi\)

2. \(\alpha = \frac{0.08}{\pi}, \beta = \frac{2.0}{\pi}\)

3. \(\alpha = \frac{0.04}{\pi}, \beta = \frac{1.0}{\pi}\)

4. \(\alpha = 12.50\pi, \beta = \frac{\pi}{2.0}\)

Subtopic: Â Wave Motion |

Â 86%

From NCERT

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