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Speed and wavelength of a transverse wave along a rope hanging from a support

This type of question, asked 2 times: 10 May 2024 S2, 14 May 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    10 May 2024 S2

    26
    A uniform rope of length 'LL' and mass 'm1m_1' hangs vertically from a rigid support. A block of mass 'm2m_2' is attached to the free end of the rope. A transverse wave of wavelength 'λ1\lambda_1' is produced at the lower end of the rope. The wavelength of the wave when it reaches the top of the rope is 'λ2\lambda_2'. The ratio λ1λ2\frac{\lambda_1}{\lambda_2} is

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  2. Question 2

    14 May 2026 S2

    124
    A uniform rope of mass 0.10.1 kg and length 2.52.5 m hangs from ceiling. The speed of transverse wave in the rope at upper end and at a point 0.50.5 m distance from lower end will be (g=10 m/s2)(g = 10\ \mathrm{m/s^2})

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