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 \(20^{\circ}\text{C}\) (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
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. \(1 . 73 \times10^{- 3} ~\text{m}\)
A transverse wave moves from a medium \(A\) to a medium \(B\). In medium \(A\), the velocity of the transverse wave is \(500~\text{ms}^{-1}\) and the wavelength is \(5~\text{m}\). The frequency and the wavelength of the wave in medium \(B\) when its velocity is \(600~\text{ms}^{-1}\), respectively are:
1. | \(120~\text{Hz}\) and \(5~\text{m}\) | 2. | \(100~\text{Hz}\) and \(5~\text{m}\) |
3. | \(120~\text{Hz}\) and \(6~\text{m}\) | 4. | \(100~\text{Hz}\) and \(6~\text{m}\) |
1. | \(1:1\) | 2. | \(5:2\) |
3. | \(3:2\) | 4. | \(4:5\) |
1. | \(6\) | 2. | \(5\) |
3. | \(4\) | 4. | \(3\) |
1. | Wavelength of the component waves is \(10~\text{cm}.\) |
2. | The separation between a node and the nearest antinode is \(2.5~\text{cm}.\) |
3. | Frequency of the component wave is \(0.25~\text{Hz}\). |
4. | All of these |