# A wave traveling in the +ve $$x$$-direction having maximum displacement along $$y$$-direction as $$1~\text{m}$$, wavelength $$2\pi ~\text{m}$$ and frequency of $$\frac{1}{\pi}~\text{Hz}$$, is represented by: 1. $$y=\sin (2 \pi x-2 \pi t)$$ 2. $$y=\sin (10 \pi x-20 \pi t)$$ 3. $$y=\sin (2 \pi x+2 \pi t)$$ 4. $$y=\sin (x-2 t)$$

Subtopic:  Wave Motion |
86%
From NCERT
AIPMT - 2013
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Two waves are represented by the equations ${y}_{1}=a$ $\mathrm{sin}\left(\omega t+kx+0.57\right)$ $m$ and
${y}_{2}=a\mathrm{cos}\left(\omega t+kx\right)$ $m$, 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 wave in a string has an amplitude of 2 cm. The wave travels in the positive direction of the x-axis with a speed of 128 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)m sin(7.85x+1005t) 2 y = (0.02)m sin(15.7x -2010t) 3 y = (0.02)m sin(15.7x+2010t) 4 y = (0.02)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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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 |
75%
From NCERT
AIPMT - 2006
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A transverse wave propagating along the x-axis is represented by:
$$y=(x,t)=8.0\mathrm{sin}(0.5\pi x-4\pi t-\frac{\pi}{4})$$ 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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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 speed of sound in nitrogen gas compared to that in helium gas at 300 K is:

1. $\sqrt{\frac{2}{7}}$

2. $\sqrt{\frac{1}{7}}$

3. $\frac{\sqrt{3}}{5}$

4. $\frac{\sqrt{6}}{5}$

Subtopic:  Speed of Sound |
From NCERT
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A triangular transverse wave is propagating in the positive X-direction. The velocity of P at this instant will be:

1. vertically upward.
2. vertically downward.
3. at rest.
4. cannot be determined.

Subtopic:  Wave Motion |
67%
From NCERT
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