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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 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 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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Two sound waves with wavelengths 5.0 m and 5.5 m, respectively, propagate in gas with a velocity of 330 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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A transverse wave propagating along the x-axis is represented by:

\(y=(x,t)=8.0\mathrm{sin}(0.5\pi x-4\pi t-\frac{\pi}{4})\) 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 |

82%

From NCERT

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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The speed of sound in nitrogen gas compared to that in helium gas at 300 K is:

1. $\sqrt{\frac{2}{7}}$

2. $\sqrt{\frac{1}{7}}$

3. $\frac{\sqrt{3}}{5}$

4. $\frac{\sqrt{6}}{5}$

Subtopic: Speed of Sound |

From NCERT

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A triangular transverse wave is propagating in the positive X-direction. The velocity of P at this instant will be:

1. vertically upward.

2. vertically downward.

3. at rest.

4. cannot be determined.

Subtopic: Wave Motion |

67%

From NCERT

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