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Physics
Physics
Problem
The excess pressure
Δ
P
\Delta P
Δ
P
inside a soap bubble is assumed to depend only on its surface tension
S
S
S
and radius
r
r
r
. Select the option that gives a dimensionally valid proportionality. a)
Δ
P
∝
S
r
\Delta P \propto S\, r
Δ
P
∝
S
r
b)
Δ
P
∝
S
r
−
1
\Delta P \propto S\, r^{-1}
Δ
P
∝
S
r
−
1
c)
Δ
P
∝
S
2
r
−
1
\Delta P \propto S^{2}\, r^{-1}
Δ
P
∝
S
2
r
−
1
d)
Δ
P
∝
S
−
1
r
\Delta P \propto S^{-1}\, r
Δ
P
∝
S
−
1
r
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