A string with a mass $$2.50~\text{kg}$$ is under a tension of $$200~\text{N}$$. The length of the stretched string is $$20.0~\text{m}$$. If the transverse jerk is struck at one end of the string, how long does it take for the disturbance to reach the other end?
1. $$0.5~\text{s}$$
2. $$0.6~\text{s}$$
3. $$0.4~\text{s}$$
4. $$0.1~\text{s}$$

Subtopic:  Travelling Wave on String |
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A stone dropped from the top of a tower of height $$300$$ m splashes into the water of a pond near the base of the tower. When is the splash heard at the top?
(Given that the speed of sound in air is $$340$$ m/s and $$g=9.8$$ m/s2)
1. $$7.7$$
2. $$8.7$$
3. $$6.7$$
4. $$7.8$$

Subtopic:  Speed of Sound |
64%
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A steel wire has a length of $$12.0$$ m and a mass of $$2.10$$ kg. What should be the tension in the wire so that the speed of a transverse wave on the wire equals the speed of sound in dry air, at $$20^{\circ}\mathrm{C}$$ (which is $$343$$ m/s)?
1. $$4.3\times10^3$$ N
2. $$3.2\times10^4$$ N
3. $$2.06\times10^4$$ N
4. $$1.2\times10^4$$ N

Subtopic:  Travelling Wave on String |
74%
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The speed of sound in air is:

 1 dependent on pressure. 2 decreases with temperature. 3 independent of temperature. 4 increases with humidity.
Subtopic:  Speed of Sound |
61%
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A bat emits an ultrasonic sound of frequency 1000 kHz in the air. If the sound meets a water surface, what is the wavelength of the reflected sound? (The speed of sound in air is 340 m/sec and in water is 1486 m/sec)
1. $$3.4 \times 10^{-4}~\text{m}$$
2. $$1 . 49 \times 10^{- 3} ~ \text{m}$$
3. $$2 . 34 \times 10^{- 2} ~\text{m}$$
4. $$1 . 73 \times10^{- 3} ~\text{m}$$

Subtopic:  Speed of Sound |
55%
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A bat emits an ultrasonic sound of frequency $$1000~\text{kHz}$$ in the air. If the sound meets a water surface, what is the wavelength of the refracted sound?
(speed of sound in air is $$340~\mathrm{m/s}$$
and in water $$1486~\mathrm{m/s}$$)

 1 $$3.4 \times 10^{-4} \mathrm{~m}$$ 2 $$1.4 \times 10^{-3} \mathrm{~m}$$ 3 $$2.5 \times 10^{-4} \mathrm{~m}$$ 4 $$1.8 \times 10^{-3} \mathrm{~m}$$
Subtopic:  Speed of Sound |
57%
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A hospital uses an ultrasonic scanner to locate tumors in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is $$1.7~\text{km/s}$$? The operating frequency of the scanner is $$4.2~\text{MHz}$$.
1. $$3.0 \times10^{-4}~\text{m}$$
2. $$4.0 \times10^{-4}~\text{m}$$
3. $$3.5 \times10^{-4}~\text{m}$$
4. $$2.0 \times10^{-4}~\text{m}$$

Subtopic:  Speed of Sound |
79%
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A transverse harmonic wave on a string is described by, $$y(x,t) = 3.0 sin ( 36t + 0.018x + {\pi \over 4})$$ where x and are in cm and in sec. The positive direction of x is from left to right. What is the shortest distance between two successive crests in the wave?

 1 1.3 m 2 3.0 m 3 2.5 m 4 3.5 m
Subtopic:  Wave Motion |
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For the travelling harmonic wave, $$y(x,t) = 2.0\ cos\ 2\pi (10t - 0.0080x + 0.35 )$$ where $$x$$ and $$y$$ are in $$\text{cm}$$ and $$t$$ is in seconds. The phase difference between the oscillatory motion of two points separated by a distance of $$4~\text{m}$$ will be:
1. $$0.8 \pi\ \text{rad}$$

2. $$\pi\ \text{rad}$$
3. $$6.4\pi\ \text{rad}$$
4.
$$4\pi\ \text{rad}$$

Subtopic:  Wave Motion |
66%
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The transverse displacement of a string (clamped at both ends) is given by;
$$y(x,t)=0.06\sin\Big(\frac{2\pi}{3}x\Big)\cos(120\pi t)$$
where $$x$$ and $$y$$ are in metre and $$t$$ in second. The length of the string is $$1.5$$ m and its mass is $$3\times10^{-2}$$ kg. The tension in the string is:
1. $$540$$ N
2. $$648$$ N
3. $$200$$ N
4. $$425$$ N
Subtopic:  Speed of Sound |
84%
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