Topic: Wave motion: longitudinal and transverse waves, wave speed· Oscillations and Waves
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 λ_1 is produced at the lower end of the rope. The wavelength of the pulse whe…
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 \(\lambda_2/\lambda_1\) is :
1. \(\sqrt{\frac{m_1}{m_2}}\)
2. \(\sqrt{\frac{m_1+m_2}{m_2}}\)
3. \(\sqrt{\frac{m_2}{m_1}}\)
4. \(\sqrt{\frac{m_1+m_2}{m_1}}\)