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Figure shows an aluminium wire of length...

Figure shows an aluminium wire of length `60 cm` joined to a steel wire of length `80 cm` and stretched between two fixed supports. The tension produced is `40 N`. The cross-sectional area of the steel wire is `1.0 mm^(2)` and that of the aluminimum wire is `3.0 mm^(2)` The minimum frequency of a tuning fork which can produce standing waves in the system with the joint as a node is `10P` (in `Hz`) the find `P`. Given density of aluminimum is `2.6 g//cm^(3)` and that of steel is `7.8 g//cm^(3)`.

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A steel wire of length 50sqrt(3) cm is connected to an aluminium wire of length 60 cm and stretched between two fixed supports. The tension produced is 104 N , if the cross section area of each wire is 1mm^(2) . If a transverse wave is set up in the wire, find the lowest frequency for which standing waves with node at the joint are produced . (density of aluminimum = 2.6 gm//cm^(3) and density of steel = 7.8 gm//cm^(3) ).

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