Question

the frequency if an oscillating drop depend upon radius of drop, density of liquid and surface tension of liquid. establish an expression for v dimensionally
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Answer 1

${\huge{\purple{\underline{\underline{\bf{\pink{\mathfrak{Answer}}}}}}}}$

⬤ ${\: \: \: \: \: \: \: \: \: \:Initial \: Velocity, \: u \: = \: 0}$

⬤ ${\: \: \: \: \: \: \: \: \: \: Distance, \: s\: = \: 200m}$

⬤ ${\: \: \: \: \: \: \: \: \: \:Time, \: t\: =\: 10s}$

${\small{\bf{\green{\mathfrak{\underline{\underline{As\: we\: are\: asked\: to\: find\: Acceleration,}}}}}}}$

${\: \: \: \: \: \: \: \: \: \:s\:=\:ut\:+\: 1/2at²}$

${\huge{\bf{\green{\mathfrak{\underline{\underline{By\: substituting\: values\: in\: the\: \: formulae,}}}}}}}$

⇒200 = 0*(10) + 1/2(a*(10)²)

⇒200 = 1/2(a*100)

⇒200 × 2 = a × 100

⇒400/100 = a

⇒4 = a

${\huge{\bf{\green{\mathfrak{\underline{\underline{Or,}}}}}}}$

⇒${\: \: \: \: \: \: \: \: \: \:a\: =\: 4\: m/s²}$