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Question

Question: If the surface tension of a liquid is T, the gain in surface energy for an increase in liquid surfac...

If the surface tension of a liquid is T, the gain in surface energy for an increase in liquid surface by A is

A

AT1A T ^ { - 1 }

B

ATA T

C

A2TA ^ { 2 } T

D

A2T2A ^ { 2 } T ^ { 2 }

Answer

A2T2A ^ { 2 } T ^ { 2 }

Explanation

Solution

W=8πR2T=8×π×(102)2×2×102W = 8 \pi R ^ { 2 } T = 8 \times \pi \times \left( 10 ^ { - 2 } \right) ^ { 2 } \times 2 \times 10 ^ { - 2 }