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 $y=5×{10}^{-4}\mathrm{sin}\left(100t-50x\right)$, 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.

2.

3.

4.

Subtopic:  Wave Motion |
72%
From NCERT
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The phase difference between two waves, represented by
$\begin{array}{l}{\mathrm{y}}_{1}={10}^{-6}\mathrm{sin}\left\{100\mathrm{t}+\left(\mathrm{x}/50\right)+0.5\right\}\mathrm{m}\\ {\mathrm{y}}_{2}={10}^{-6}\mathrm{cos}\left\{100\mathrm{t}+\left(\frac{\mathrm{x}}{50}\right)\right\}\mathrm{m}\end{array}$
where X is expressed in metres and t is expressed in seconds, is approximate:

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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