# The length of a wire between the two ends of a sonometer is $$100$$ cm. What should be the positions of two bridges below the wire so that the three segments of the wire have their fundamental frequencies in the ratio $$1:3:5$$? 1. $$\frac{1500}{23} \mathrm{~cm}, \frac{500}{23} \mathrm{~cm}$$ 2. $$\frac{1500}{23} \mathrm{~cm}, \frac{300}{23} \mathrm{~cm}$$ 3. $$\frac{300}{23} \mathrm{~cm}, \frac{1500}{23} \mathrm{~cm}$$ 4. $$\frac{1500}{23} \mathrm{~cm}, \frac{2000}{23} \mathrm{~cm}$$

Subtopic:  Standing Waves |
From NCERT
NEET - 2013
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Two sources $$\text{P}$$ and $$\text{Q}$$ produce notes of frequency $$660~\text{Hz}$$ each. A listener moves from $$\text{P}$$ to $$\text{Q}$$ with a speed of $$1$$ m/s. If The speed of sound is $$330$$ m/s, then number of beats heard by the listener per second will be:
1. $$4$$
2. $$8$$
3. $$2$$
4. zero
Subtopic:  Doppler's Effect (OLD NCERT) |
From NCERT
NEET - 2013
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Two identical piano wires, kept under the same tension T, have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to the occurrence of 6 beats/s when both the wires oscillate together would be:

1. 0.01

2. 0.02

3. 0.03

4. 0.04

Subtopic:  Beats |
62%
From NCERT
AIPMT - 2011
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The equation of a simple harmonic wave is given by $$y=3\sin \frac{\pi}{2}(50t-x)$$ where $$x$$ and $$y$$ are in meters and $$t$$ is in seconds. The ratio of maximum particle velocity to the wave velocity is:
1. $$\frac{3\pi}{2}$$
2. $$3\pi$$
3. $$\frac{2\pi}{3}$$
4. $$2\pi$$

Subtopic:  Wave Motion |
74%
From NCERT
AIPMT - 2012
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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 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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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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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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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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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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