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A uniform thin rope of length 12 m and m...

A uniform thin rope of length 12 m and mass 6 kg hangs vertically from a rigid support and block of mass 2kg is attached to its free end. A transverse short wave-train 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?

Text Solution

Verified by Experts

Now as `v=sqrt((T//mu))`
`=(v_(T))/(v_(B))= sqrt((T_(T))/(T_(B)))= sqrt(((6+2)g)/(2g))=2`
So `lambda_(T)=2lambda_(B)=2xx0.06=0.12m`
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