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The liquid drop of density p, radius r and surface tension $σ$ oscillates with time period T, which of the following expression for $T^{2}$ is correct

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$p σ / r^{3}$

$p r^{3} / σ$

None

$r^{3} σ / p$

answer is A.

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Detailed Solution

$T^{2} α P^{a} r^{b} σ^{c}$
$[ρ] = [M L^{- 3}]$
$[r] = [L]$
$[σ] = [M T^{- 2}]$
Use dimensional analysis

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