# Two waves are represented by the equations $$y_1 = a\sin(\omega t+kx+0.57)~\text{m}$$ and $$y_2 = a\cos(\omega t+kx)~\text{m},$$ where $$x$$ is in metres and $$t$$ in seconds. The phase difference between them is: 1. $$1.25$$ rad 2. $$1.57$$ rad 3. $$0.57$$ rad 4. $$1.0$$ rad

Subtopic:  Wave Motion |
67%
From NCERT
AIPMT - 2011
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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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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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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 |
70%
From NCERT
AIPMT - 2010
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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 |
72%
From NCERT
AIPMT - 2009
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Each of the two strings of lengths 51.6 cm and 49.1 cm is tensioned separately by 20 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 m and 5.5 m, respectively, propagate in gas with a velocity of 330 m/s. How many beats per second can we expect?

1. 12

2. 0

3. 1

4. 6

Subtopic:  Beats |
74%
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 |
82%
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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