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A steel wire is used to stretch a spring. An oscillating magnetic field drives the steel...

A steel wire is used to stretch a spring. An oscillating magnetic field drives the steel wire back and forth. A standing wave with three antinodes is created when the spring is stretched 7.5 cm. What stretch of the spring produces a standing wave with two antinodes?

A steel wire is used to stretch a spring. An oscil

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Answer #1

To have the same frequency go from being the 3rd harmonic to being the 2nd harmonic, the speed will have to increase by 3/2 of it's original speed

now Tension T is proportional to square of velocity

So the tension and therefore stretch will have to increase by the square of 3/2

so the stretch will increase by a factor of 9/4

so new strectch= 7.5*(9/4)=16.875 cm

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