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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 displacement of a particle is given by $y=5\times {10}^{-4}\mathrm{sin}(100t-50x)$,
where x is in metres and t is in seconds. The velocity of the wave is**:**

1. 5000 *m*/*sec*

2. 2 *m*/*sec*

3. 0.5 *m*/*sec*

4. 300 *m*/*sec*

Subtopic: Wave Motion |

89%

From NCERT

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

1. $\mathrm{\alpha}=25.00$ $\mathrm{\pi},$ $\mathrm{\beta}=\mathrm{\pi}$

2. $\mathrm{\alpha}=\frac{0.08}{\mathrm{\pi}},$ $\mathrm{\beta}=\frac{2.0}{\mathrm{\pi}}$

3. $\mathrm{\alpha}=\frac{0.04}{\mathrm{\pi}},$ $\mathrm{\beta}=\frac{1.0}{\mathrm{\pi}}$

4. $\mathrm{\alpha}=12.50$ $\mathrm{\pi},$ $\mathrm{\beta}=\frac{\mathrm{\pi}}{2.0}$

Subtopic: Wave Motion |

86%

From NCERT

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If a travelling wave pulse is given by \(y=\frac{20}{4+(x+4 t)^2}~\text{m}\), then:

1. | the pulse is traveling along the negative x axis. |

2. | the speed of the pulse is \(4\) m/s. |

3. | the amplitude of the pulse is \(5\) m. |

4. | all of these. |

Subtopic: Wave Motion |

85%

From NCERT

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Given the equation for a wave on the string, y = 0.5 sin(5x - 3t) where y and x are in metres and t in seconds, the ratio of the maximum speed of particle to the speed of wave is:

1. 1:1

2. 5:2

3. 3:2

4. 4:5

Subtopic: Wave Motion |

83%

From NCERT

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The wave described by y=0.25 sin(10$\pi x-2\pi t$), where x and y are in metres and t in seconds, is a wave traveling along the:

1. | -ve x direction with frequency 1 Hz |

2. | +ve x direction with frequency π Hz and wavelength λ =0.2 m |

3. | +ve x direction with frequency 1 Hz and wavelength λ = 0.2 m |

4. | - ve x direction with amplitude 0.25 m and wavelength λ = 0.2 m |

Subtopic: Wave Motion |

84%

From NCERT

NEET - 2008

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Two progressive waves are represented by, \(y_1=5sin(200t-3.14x)\) and

\(y_2=10sin(200t-3.14x+\frac{\pi}{3})\) (\(x\) is in metres, and \(t\) is in seconds). Path difference between the two waves is:

1. $\frac{100}{\mathrm{\pi}}m$

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

3. $3.14\times \frac{\mathrm{\pi}}{3}\mathrm{m}$

4. $\frac{{\mathrm{\pi}}^{2}}{9}m$

Subtopic: Wave Motion |

72%

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

Wave 1 : y(x,t) = (2cm) sin(3x–6t)

Wave 2 : y(x,t) = (3cm) sin(4x–12t)

Wave 3 : y(x,t) = (4cm) 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: Wave Motion |

71%

From NCERT

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