# A wave in a string has an amplitude of $$2$$ cm. The wave travels in the positive direction of the $$x\text-$$axis with a speed of $$128~\text{m/s}$$ and it is noted that $$5$$ complete waves fit in the $$4$$ m length of the string. The equation describing the wave is: 1. $$y =(0.02~\text{m})\sin(7.85x+1005t)$$ 2. $$y =(0.02~\text{m})\sin(15.7x-2010t)$$ 3. $$y =(0.02~\text{m})\sin(15.7x+2010t)$$ 4. $$y =(0.02~\text{m})\sin(7.85x-1005t)$$

Subtopic:  Wave Motion |
73%
From NCERT
AIPMT - 2009
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Each of the two strings of lengths $$51.6~\text{cm}$$ and $$49.1~\text{cm}$$ is tensioned separately by $$20~\text{N}$$ 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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The wave described by $$y=0.25\sin (10\pi x-2\pi t)$$, where $$x$$ and $$y$$ are in metre and $$t$$ in second, is a wave travelling along the:

 1 –ve x-direction with frequency $$1$$ Hz 2 +ve x-direction with frequency $$\pi$$ Hz and wavelength  $$\lambda=0.2$$ m 3 +ve x-direction with frequency $$1$$ Hz and wavelength  $$\lambda=0.2$$ m 4 –ve x-direction with amplitude $$0.25$$ m and wavelength  $$\lambda=0.2$$ m

Subtopic:  Wave Motion |
84%
From NCERT
AIPMT - 2008
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Two sound waves with wavelengths $$5.0~\text{m}$$ and $$5.5~\text{m}$$, respectively, propagate in gas with a velocity of $$330~\text{m/s}$$. 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 $$x\text-$$axis is represented by:
$$y(x,t)=8.0\sin\left(0.5\pi x-4\pi t-\frac{\pi}{4}\right)$$, 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 |
83%
From NCERT
AIPMT - 2006
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The time of reverberation of a room $$A$$ is one second. What will be the time (in seconds) of reverberation of a room, having all the dimensions double those of room A?

1. 2

2. 4

3. $\frac{1}{2}$

4. 1

Subtopic:  Speed of Sound |
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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A tuning fork of frequency $$512$$ Hz makes $$4$$ beats/s with the vibrating string of a piano. The beat frequency decreases to $$2$$ beats/s when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was:
1. $$510$$ Hz
2. $$514$$ Hz
3. $$516$$ Hz
4. $$508$$ Hz

Subtopic:  Beats |
71%
From NCERT
AIPMT - 2010
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A transverse wave is represented by y = Asin(ωt -kx). At what value of the wavelength is the wave velocity equal to the maximum particle velocity?

1. $\pi$A/2

2. $\pi$A

3. 2$\pi$A

4. A

Subtopic:  Wave Motion |
84%
From NCERT
AIPMT - 2010
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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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