Question

Find the radius of a soap bubble if 44×10^-6 of work is done in blowing a soap bubble of surface tension 7×10^-2

Answer 1

$\huge\underline{\underline{\bf \green{Question-}}}$

Find the radius of a soap bubble if 44${\sf ×10^{-6}}$ of work is done in blowing a soap bubble of surface tension ${\sf 7×10^{-2}}$

$\huge\underline{\underline{\bf \green{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Work Done= ${\sf 44 ×10^{-6}}$
• Surface Tension ( T ) = ${\sf 7×10^{-2}}$

$\large\underline{\underline{\sf To\:Find:}}$

• Radius of soap bubble ( r )

✪${\boxed{\bf \blue{Work\:Done(W)=T×A} }}$

A = Area = 4πr²

$\implies{\sf 44×10^{-6}=7×10^{-2}×4×3.14×r }$

$\implies{\sf 44×10^{-6}=87.92×r }$

$\implies{\sf r = \dfrac{44×10^{-6}}{87.92} }$

$\implies{\sf r = 0.5×10^{-6}\:cm}$

$\implies{\bf \red{Radius\:of\:soap\:bubble(r)=5×10^{-5}\:cm} }$

$\huge\underline{\underline{\bf \green{Answer-}}}$

Radius of soap bubble is ${\bf \red{5×10^{-5}\:cm}}$