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Question

Physics Question on mechanical properties of fluid

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 - (Take π= 227\frac {22}{7})

A

8.8×105J8.8 \times 10^{-5} J

B

7.92×104J7.92 \times 10^{-4} J

C

7.92×106J7.92 \times 10^{-6} J

D

9.68×104J9.68 \times 10^{-4} J

Answer

7.92×104J7.92 \times 10^{-4} J

Explanation

Solution

1000×34π​(1)3=34π​R3
R=10mm
T×1000×4π(10−3)2−T×4π(10×10−3)2=ΔE
ΔE=4×π×7×10−2[1000−100]×10−6
ΔE=7.92×10−4J