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Q.

A tube of insufficient length is immersed in water (surface tension=0.07 Nm^-1) with 1cm of its length projecting vertically upwards outside the water. What is the radius of meniscus?
Radius of tube=1mm.(g=10m/s²)

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a

3.5 mm

b

2 mm

c

3 mm

d

1.4 mm

answer is B.

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Detailed Solution

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In general
$\begin{array}{l} 2 πrTcosθ = {πr}^{2} h^{1} ρg \\ 2 Tcosθ = h^{1} rρg \end{array}$
Here
$\begin{array}{l} r = Rcosθ \\ 2 T = h^{1} Reg \\ R = \frac{2 T}{h^{1} ρg} = \frac{2 \times 0.07}{10^{- 2} \times 1000 \times 10} = 1.4 mn \end{array}$

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