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If a wave is travelling in a positive X-direction with A = 0.2 m, velocity = 360 m/s, and λ = 60 m, then the correct expression for the wave will be:

1. | \(\mathrm{y}=0.2 \sin \left[2 \pi\left(6 \mathrm{t}+\frac{\mathrm{x}}{60}\right)\right]\) |

2. | \(\mathrm{y}=0.2 \sin \left[ \pi\left(6 \mathrm{t}+\frac{\mathrm{x}}{60}\right)\right]\) |

3. | \(\mathrm{y}=0.2 \sin \left[2 \pi\left(6 \mathrm{t}-\frac{\mathrm{x}}{60}\right)\right]\) |

4. | \(\mathrm{y}=0.2 \sin \left[ \pi\left(6 \mathrm{t}-\frac{\mathrm{x}}{60}\right)\right]\) |

Subtopic: Wave Motion |

85%

From NCERT

AIPMT - 2002

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Which of the following statements is/are correct.

a. | Motion of a kink in a longitudinal spring produced by displacing one end of the spring sideways is transverse and longitudinal, both. |

b. | Waves produced in a cylinder containing a liquid by moving its piston back and forth is longitudinal. |

c. | Waves produced by a motorboat sailing in water are transverse and longitudinal, both. |

d. | Ultrasonic waves in air produced by a vibrating quartz crystal are longitudinal. |

1. (a), (b) and (d)

2. (b) and (d)

3. (a), (c) and (d)

4. All are correct

Subtopic: Types of Motion |

61%

From NCERT

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A steel wire \(0.72~\text{m}\) long has a mass of \(5\times10^{-3}~\text{kg}\).
If the wire is under tension of \(60~\text{N}\), the speed of transverse waves on the wire will be:

1. \(85~\text{m/s}\)

2. \(83~\text{m/s}\)

3. \(93~\text{m/s}\)

4. \(100~\text{m/s}\)

Subtopic: Travelling Wave on String |

71%

From NCERT

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The phase difference between two waves, represented by

$\begin{array}{l}{\mathrm{y}}_{1}={10}^{-6}\mathrm{sin}\{100\mathrm{t}+(\mathrm{x}/50)+0.5\}\mathrm{m}\\ {\mathrm{y}}_{2}={10}^{-6}\mathrm{cos}\{100\mathrm{t}+\left(\frac{\mathrm{x}}{50}\right)\}\mathrm{m}\end{array}$

where X is expressed in metres and t is expressed in seconds, is approximate:

1. 2.07 radians

2. 0.5 radians

3. 1.5 radians

4. 1.07 radians

Subtopic: Wave Motion |

59%

From NCERT

AIPMT - 2004

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A cylindrical tube (L = 125 cm) is resonant with a tuning fork at a frequency of 330 Hz. If it is filled with water, then to get the resonance again, the minimum length of the water column will be: $({v}_{air}$ $=$ $330$ $m/s)$

1. | 50 cm | 2. | 60 cm |

3. | 25 cm | 4. | 20 cm |

Subtopic: Standing Waves |

From NCERT

AIPMT - 1999

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A point source emits sound equally in all directions in a non-absorbing medium.
Two points, P and Q, are at distances of \(2\) m and \(3\) m, respectively, from the source. The ratio of the intensities of the waves at P and Q is:

1. \(3:2\)

2. \(2:3\)

3. \(9:4\)

4. \(4:9\)

Subtopic: Energy of Waves |

73%

From NCERT

AIPMT - 2005

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If a standing wave having 3 nodes and 2 antinodes is formed within 1.21 Å distance, then the wavelength of the standing wave will be:

1. 1.21 Å

2. 2.42 Å

3. 0.605 Å

4. 4.84 Å

Subtopic: Standing Waves |

78%

From NCERT

AIPMT - 1998

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Two vibrating tuning forks produce progressive waves given by \(Y_1 = 4 ~\mathrm{sin}~500 \pi \mathrm{t}\) and \(Y_2 = 2 ~\mathrm{sin}~506 \pi \mathrm{t}\). The number of beats produced per minute is:

1. | \(3\) | 2. | \(360\) |

3. | \(180\) | 4. | \(60\) |

Subtopic: Beats |

57%

From NCERT

AIPMT - 2005

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A string is cut into three parts, having fundamental frequencies n_{1}, n_{2}, and n_{3 }respectively.
The original fundamental frequency "n" is related by the expression:

1. $\frac{1}{n}=\frac{1}{{n}_{1}}+\frac{1}{{n}_{2}}+\frac{1}{{n}_{3}}$

2. $n={n}_{1}\times {n}_{2}\times {n}_{3}$

3. $n={n}_{1}+{n}_{2}+{n}_{3}$

4. $n=\frac{{n}_{1}+{n}_{2}+{n}_{3}}{3}$

Subtopic: Standing Waves |

84%

From NCERT

AIPMT - 2000

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The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by 4%, will be:

1. 1%

2. 2%

3. 3%

4. 4%

Subtopic: Travelling Wave on String |

86%

From NCERT

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