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=5×104sin(100t50x), 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 α and β in appropriate units are:

1. α=25.00 π, β=π

2. α=0.08π, β=2.0π

3. α=0.04π, β=1.0π

4. α=12.50 π, β=π2.0

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(10πx-2πt), 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. 100π m

2. 13 m

3. 3.14×π3 m

4. π29 m

Subtopic:  Wave Motion |
 72%
From NCERT
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The phase difference between two waves, represented by
y1=106sin{100t+(x/50)+0.5}my2=106cos{100t+(x50)}m
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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