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If the time period (T) of vibration of a liquid drop depends on surface tension (S), radius of the drop and density ( $ρ$ ) of the liquid, then the expression of T is

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T = kρr3S

T = kρ12r3S

T = kρr3S12

None of these

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detailed solution

Correct option is A

Let T ∝ Sxryρzby substituting the dimension of [T] = [T]S = MT−2, r = L, ρ = ML−3and by comparing the power of both the sidesx = −12, y = 32 , Z = 12so T ∝ ρr3S ⇒ T = kρr3S

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If the time period (T) of vibration of a liquid drop depends on surface tension (S), radius of the drop and density (ρ) of the liquid, then the expression of T is

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Ready to Test Your Skills?

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If the time period (T) of vibration of a liquid drop depends on surface tension (S), radius of the drop and density ( $ρ$ ) of the liquid, then the expression of T is