MCQ
If $1000$ droplets of water of surface tension $0.07\,N / m$. having same radius $1\,mm$ each, combine to from a single drop. In the process the released surface energy is $\left(\text { Take } \pi=\frac{22}{7}\right)$
  • A
    $7.92 \times 10^{-6}\,J$
  • $7.92 \times 10^{-4}\,J$
  • C
    $9.68 \times 10^{-4}\,J$
  • D
    $8.8 \times 10^{-5}\,J$

Answer

Correct option: B.
$7.92 \times 10^{-4}\,J$
b
$1000 \times \frac{4 \pi}{3}(1)^3=\frac{4 \pi}{3} R ^3$

$R =10\,mm$

$T \times 1000 \times 4 \pi\left(10^{-3}\right)^2- T \times 4 \pi\left(10 \times 10^{-3}\right)^2=\Delta E$

$\Delta E =4 \times \pi \times 7 \times 10^{-2}[1000-100] \times 10^{-6}$

$\Delta E =7.92 \times 10^{-4}\,J$

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