Question 298: Properties of Matter

Question

The excess pressure inside a liquid drop is 500 Nm
$$-$$2
. If the radius of the drop is 2 mm, the surface tension of liquid is x $$	imes$$ 10
$$-$$3
Nm
$$-$$1
. The value of x is _____________.

Accepted Answer

$\mathrm{P}=\mathrm{P}_{0}+\frac{2 T}{R} $
$\Rightarrow P-P_{0}=\frac{2 T}{R}$
$$
\begin{aligned}
&500=\frac{2 	imes T}{2 	imes 10^{-3}} \\
&T=500 	imes 10^{-3} \\
&	ext { So, } x=500
\end{aligned}
$$

Properties of Matter

The excess pressure inside a liquid drop is 500 Nm $-2 . If the radius of the drop is 2 mm, the surface tension of liquid is x \times 10 -3 Nm -$1 . The value of x is _____________.

Integer / Numeric Answer Type