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A transverse wave propagating along the \(x\text-\)axis is represented by:

\(y(x,t)=8.0\sin\left(0.5\pi x-4\pi t-\frac{\pi}{4}\right)\), where \(x\) is in meters and \(t\) in seconds. The speed of the wave is:

1. \(4\pi\) m/s

2. \(0.5\) m/s

3. \(\frac{\pi}{4}\) m/s

4. \(8\) m/s

Subtopic: Wave Motion |

83%

From NCERT

AIPMT - 2006

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The time of reverberation of a room *\(A\)* is one second. What will be the time (in seconds) of reverberation of a room, having all the dimensions double those of room *A*?

1. 2

2. 4

3. $\frac{1}{2}$

4. 1

Subtopic: Speed of Sound |

AIPMT - 2006

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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: Types of Waves |

81%

From NCERT

AIPMT - 2006

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Two sound waves with wavelengths \(5.0~\text{m}\) and \(5.5~\text{m}\), respectively, propagate in gas with a velocity of \(330~\text{m/s}\). How many beats per second can we expect?

1. \(12\)

2. \(0\)

3. \(1\)

4. \(6\)

Subtopic: Beats |

75%

From NCERT

AIPMT - 2006

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The wave described by \(y=0.25\sin (10\pi x-2\pi t)\), where \(x \) and \(y\) are in metre and \(t\) in second, is a wave travelling along the:

1. | \(1\) Hz | –ve x-direction with frequency

2. | \(\pi\) Hz and wavelength \(\lambda=0.2\) m | +ve x-direction with frequency

3. | \(1\) Hz and wavelength \(\lambda=0.2\) m | +ve x-direction with frequency

4. | \(0.25\) m and wavelength \(\lambda=0.2\) m | –ve x-direction with amplitude

Subtopic: Wave Motion |

84%

From NCERT

AIPMT - 2008

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Each of the two strings of lengths \(51.6~\text{cm}\) and \(49.1~\text{cm}\) is tensioned separately by \(20~\text{N}\) 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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A wave in a string has an amplitude of \(2\) cm. The wave travels in the positive direction of the \(x\text-\)axis with a speed of \(128~\text{m/s}\) and it is noted that \(5\) complete waves fit in the \(4\) m length of the string. The equation describing the wave is:

1. \(y =(0.02~\text{m})\sin(7.85x+1005t)\)

2. \(y =(0.02~\text{m})\sin(15.7x-2010t)\)

3. \(y =(0.02~\text{m})\sin(15.7x+2010t)\)

4. \(y =(0.02~\text{m})\sin(7.85x-1005t)\)

1. \(y =(0.02~\text{m})\sin(7.85x+1005t)\)

2. \(y =(0.02~\text{m})\sin(15.7x-2010t)\)

3. \(y =(0.02~\text{m})\sin(15.7x+2010t)\)

4. \(y =(0.02~\text{m})\sin(7.85x-1005t)\)

Subtopic: Wave Motion |

73%

From NCERT

AIPMT - 2009

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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 |

71%

From NCERT

AIPMT - 2010

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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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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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