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Q.

A big drop is formed by coalescing 1000 small droplets of water. What will be the loss in surface energy if E is surface energy of big drop

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a

9 E

b

10 E

c

E

d

None

answer is B.

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Detailed Solution

43πR3=1000×43πr3R=10r 
(or) r=R10  
Surface energy of 1000 droplets = 1000(T×4πr2)  
=1000(T×4πR2100)=10(T×4πr2) 
Surface energy of big drop = T×4πR2=E  
Loss in energy = 10EE=9E

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