Which of the following statements are true wh | vedclass

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(D) When two small water drops of radius $r$ coalesce to form a bigger drop of radius $R$,the volume remains conserved: $2 	imes (4/3) \pi r^3 = (4/3

Vedclass · Accepted Answer

Both $(A)$ and $(B)$.

Vedclass · Answer

(D) When two small water drops of radius $r$ coalesce to form a bigger drop of radius $R$,the volume remains conserved: $2 	imes (4/3) \pi r^3 = (4/3) \pi R^3$,which gives $R = 2^{1/3} r$.The initial surface area is $A_i = 2 	imes (4 \pi r^2) = 8 \pi r^2$.The final surface area is $A_f = 4 \pi R^2 = 4 \pi (2^{1/3} r)^2 = 4 \pi (2^{2/3}) r^2 \approx 6.35 \pi r^2$.Since $A_f Because surface energy $U = T 	imes A$ (where $T$ is surface tension),a decrease in surface area leads to a decrease in surface energy. This released energy is typically dissipated as heat. Therefore,both statements $(A)$ and $(B)$ are correct.

Which of the following statements are true when two water drops coalesce to form a bigger drop?

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