The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by 4%, will be:
1. 1%
2. 2%
3. 3%
4. 4%
1. | \(4.0~\text{N}\) | 2. | \(12.5~\text{N}\) |
3. | \(0.5~\text{N}\) | 4. | \(6.25~\text{N}\) |
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/sec)?
1. N
2. N
3. N
4. N
A uniform rope, of length \(L\) and mass \(m_1\), hangs vertically from a rigid support. A block of mass \(m_2\) is attached to the free end of the rope. A transverse pulse of wavelength \(\lambda_1\) is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is \(\lambda_2\). The ratio \(\frac{\lambda_2}{\lambda_1}\) is:
1. \(\sqrt{\frac{m_1+m_2}{m_2}}\)
2. \(\sqrt{\frac{m_2}{m_1}}\)
3. \(\sqrt{\frac{m_1+m_2}{m_1}}\)
4. \(\sqrt{\frac{m_1}{m_2}}\)