The frequency of vibration of a liquid drop is assumed to depend only on the surface tension S, the density and the radius r. Dimensional analysis gives the frequency proportional to:

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The frequency of vibration of a liquid drop is assumed to depend only on the surface tension S, the density ρ and the radius r. Dimensional analysis gives the frequency proportional to:

Answer: (S / r 3 ).

A √(Sρ / r3)
B √(ρr3 / S)
C √(S / ρr)
D √(S / ρr3)

Correct answer: D. √(S / ρr3)

Explanation: With [S] = M T-2, [ρ] = M L-3, [r] = L, matching [T-1] gives f &prop; S1/2ρ-1/2r-3/2 = √(S/ρr3).

The 7 SI base units. All derived units (newton, joule, watt, volt, etc.) can be expressed as combinations of these 7 fundamental units raised to various powers.

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The frequency of vibration of a liquid drop is assumed to depend only on the surface tension S, the density &rho; and the radius r. Dimensional analysis gives the frequency proportional to:

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The frequency of vibration of a liquid drop is assumed to depend only on the surface tension S, the density ρ and the radius r. Dimensional analysis gives the frequency proportional to: