A uniform rope of length 12 m and mass 6 kg hangs vertically from the rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced a

Question

A uniform rope of length 12 m and mass 6 kg hangs vertically from the rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is

TestHub · Accepted Answer

Speed of a wave in a string is given by ​ V = f λ = m T ​ ​ ∴ λ = f 1 ​ m T ​ ​ ∴ λ 1 ​ λ 2 ​ ​ = T 1 ​ T 2 ​ ​ ​ ​ Tension at the bottom of the rope = T 1 ​ = 2 kg Tension at the top of the rope T 2 ​ = 2 + 6 = 8 kg ​ ∴ λ 2 ​ = T 1 ​ T 2 ​ ​ ​ ⋅ λ 1 ​ = 2 8 ​ ​ × 0.06 = 2 × 0.06 = 0.12 m ​

Physics - Wave on String Question with Solution | TestHub

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