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Vibration and pitch physics true or false statements? Help please...?

I would appreciate it if you explained how or why you know what a statement is true or false. I would really like to learn, not just get the right answers.

If the length increases, the pitch increases F/T

Only certain wavelengths can exist on the string F/T

The largest wavelength that can exist on the string is L F/T

If the mass increases, the pitch decreases F/T

If the tension increases, the pitch decreases F/T

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