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I'd presume that the 4.6 has some units attached to it that the reporter missed. (Which unfortunately is important since we're given no other indication what units of mass are to be used.)

1/6 sort of makes sense though. Mass is directly proportional to volume, and it's probably the length of the tip of the tongue which is important, so there's a cube root right there. Throw in a square root for good measure (those tend to show up in physics problems) and invert it since the frequency presumably decreases w/r/t mass and you're at mass^-1/6.



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