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Q.

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 wave-train of wavelength 6 cm is produced at the lower end of the rope. What is the wavelength of wavetrain (in cm) when it reaches the top of the rope?

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a

12

b

6

c

3

d

9

answer is A.

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Detailed Solution

V=fλ⇒V∝λAlso, V=Tμ∴T∝λ⇒22+6=6λ⇒λ=6(2)=12 cm
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