A uniform thin rope of length $12\, m$ and mass $6\, kg$ hangs vertically from a rigid support and a block of mass $2\, kg$ is attached to its free end. A transverse short wavetrain of wavelength $6\, cm$ is produced at the lower end of the rope. What is the wavelength of the wavetrain (in $cm$ ) when it reaches the top of the rope $?$
JEE MAIN 2020, Diffcult
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