Question

Prove that surface tension is numerically equal to surface energy.

Answer 1

Surface tension of the liquid=Force/ lengthmultiply length to both numerator and the denominator=Force x length/length x length ...

Answer 2

Answer: We know that

Force due to surface tension:

1. F=TL  

    =T(2πR)  (1)

Force due to excess pressure on each cross section of air bubble

• F=PA   =P(πR2)   (2)

Expression for excess pressure in air bubble

Equate the expressions (1) and (2)

• P(πR2)  = T(2πR)

∴P=2T/R