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The combination of a steel wire (length 80 cm , area of cross section 1 ~mm ^2 ) and an aluminium wire (length 60 cm , area of cross section 3 ~mm ^2 ) joined end to end is stretched by a tension of 160 N . If the densities of steel and aluminium are 7.8 ~g / cc and 2.6 ~g / cc respectively then, the minimum frequency of a tuning fork which can produce standing waves in the composite wire, with the joint as a node, i

Options

  1. A179 Hz.
  2. B358 Hz.
  3. C88 Hz.
  4. D118 Hz.

Correct answer

B. 358 Hz.

Step-by-step solution

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