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A block of mass M = 2kg is suspended fr...

A block of mass `M = 2kg` is suspended from a string AB of mass `6 kg` as shown in figure. A transverse wave pulse of wavelength `lambda_(0)` is produced at point B. find its wavelength while reaching at point A.

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
`lambda =(v)/(f) =sqrt(T//mu)/(f)`
or `lambda prop sqrt(T)` (as `mu` and if are constants)
`:. (lambda_(B))/(lambda_(A))= sqrt((T_(B))/(T_(A))`
`:. lambda_(B) = (sqrt(T_(B)/(T_(A)))) lambda_(A)`
`= [sqrt(((2+ 6)g)/(2g))]`
`=2 lambda`
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  • A uniform rope of length 12 mm and mass 6 kg hangs vertically from a 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. What is the wavelength of the pulse when it reaches the top of the rope?

    A
    0.06 m
    B
    0.03 m
    C
    0.12 m
    D
    0.09 m

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