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A string of mass 0.0003 kg/m and 0.5m long is vibrating 200 cycles per second. What must be the tension? What hanging mass would produce the tension?

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frequency*wavelength=speed=sqrt(tension/mass/length)

200*1=sqrt(tension/.0003)
square both sides
solve for tension

40000*.0003=tension=hangingmass*g

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