A steel wire with mass per unit length $$7.0 \times 10^{-3}$$ kg m$$^{-1}$$ is under tension of 70 N. The speed of transverse waves in the wire will be:

We have a string with mass per unit length $$\mu = 7.0 \times 10^{-3}$$ kg/m under tension $$T = 70$$ N.

The speed of a transverse wave on a stretched string is given by $$v = \sqrt{\frac{T}{\mu}}$$. Substituting the given values:

$$v = \sqrt{\frac{70}{7.0 \times 10^{-3}}} = \sqrt{\frac{70}{0.007}} = \sqrt{10000} = 100 \text{ m/s}$$

So, the answer is $$100$$ m/s.

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