The excess pressure due to surface tension inside a spherical drop is 6 . If 27 such drops coalesce, the excess pressure inside the new drop is

Question

The excess pressure due to surface tension inside a spherical drop is 6 . If 27 such drops coalesce, the excess pressure inside the new drop is

The excess pressure due to surface tension inside a spherical drop is 6 . If 27 such drops coalesce, the excess pressure inside the new drop is
A. ` 6 N//m^(2)`
B. ` 18 N//m^(2)`
C. `12 N//m^(2)`
D. `2 N//m^(2)`

Monjur Alahi

7 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - D
`P_(1)= 6 " N/m"^(2), v_(2) = 27 v_(1)`
` (4pi)/3 r_(2)^(3) = 27 xx (4pi)/3 r_(1)^(3)`
` r_(2) = 3 r_(1)`
`(P_(2))/(P_(1))=(r_(1))/(r_(2))`
` = (r_(1))/(3r_(1))= 1/3 `
` P_(2) = (P_(1))/3 = 6/3 = 2 " N/m"^(2)`

7 views Answered 2023-02-05 15:29