Q. No.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.
\(0.1~\text{s}\)
A stone dropped from the top of a tower of height \(300~\text m\) 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 \(340~\text{m/s}\) and \(g=9.8~\text{m/s}^{2}\) )
1. \(7.7~\text s\)
2. \(8.7~\text s\)
3. \(6.7~\text s\)
4. \(7.8~\text s\)
A steel wire has a length of \(12.0~\text m\) and a mass of \(2.10~\text{kg}.\) 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 \(20^{\circ}\text{C}\) (which is \(343~\text{m/s}\) )?
1. \(4.3\times10^3~\text{N}\)
2. \(3.2\times10^4~\text{N}\)
3. \(2.06\times10^4~\text{N}\)
4. \(1.2\times10^4~\text{N}\)
The speed of sound in air is:
| 1. | dependent on pressure. |
| 2. | decreases with temperature. |
| 3. | independent of temperature. |
| 4. | increases with humidity. |
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. \(1 . 73 \times10^{- 3} ~\text{m}\)
(speed of sound in air is \(340~\text{m/s}\) and in water \(1486~\text{m/s}\))
| 1. | \(3.4 \times 10^{-4}~\text {m} \) | 2. | \(1.4 \times 10^{-3}~\text {m} \) |
| 3. | \(2.5 \times 10^{-4}~\text {m} \) | 4. | \(1.8 \times 10^{-3}~\text {m} \) |
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. | \(2.0 \times10^{-4}~\text{m}\) |
| 1. | \(1.3\) m | 2. | \(3.0\) m |
| 3. | \(2.5\) m | 4. | \(3.5\) m |
1. \(0.8 \pi~\text{rad}\)
2. \(\pi~ \text{rad}\)
3. \(6.4\pi~\text{rad}\)
4. \(4\pi~\text{rad}\)
\(y(x,t)=0.06\sin\Big(\dfrac{2\pi}{3}x\Big)\cos(120\pi t)\)
where \(x\) and \(y\) are in meter and \(t\) in second. The length of the string is \(1.5~\text{m}\) and its mass is \(3\times10^{-2}~\text{kg}.\) The tension in the string is:
1. \(540~\text{N}\)
2. \(648~\text{N}\)
3. \(200~\text{N}\)
4. \(425~\text{N}\)
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