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Question: A drop of liquid of diameter 2.8 mm breaks up into 125 identical drops. The change in energy is near...

A drop of liquid of diameter 2.8 mm breaks up into 125 identical drops. The change in energy is nearly (S.T. of liquid =75 dynes/cm)

A

Zero

B

19 erg

C

46 erg

D

74 erg

Answer

74 erg

Explanation

Solution

E=4πR2T(n1/31)E = 4 \pi R ^ { 2 } T \left( n ^ { 1 / 3 } - 1 \right)

= 4×3.14×(1.4×101)2×75(1251/31)4 \times 3.14 \times \left( 1.4 \times 10 ^ { - 1 } \right) ^ { 2 } \times 75 \left( 125 ^ { 1 / 3 } - 1 \right)