Q. A uniform rope of mass $6kg$ hangs vertically from a rigid support. A block of mass $2kg$ is attached to the free end of the rope. A transverse pulse of wavelength $0.06m$ is produced at the lower and of the rope. The wavelength of the pulse when it reaches the top is $\left(\right.$ in $m\left.$ :

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A

$0.06$

B

$0.12$

C

$0.03$

D

$0.24$

Solution:

$V=\sqrt{\frac{T}{m}}=n\lambda $
$\frac{\lambda _{1}}{\lambda _{2}}=\sqrt{\frac{8}{2}}=2$

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