There is small hole in a hollow sphere. The w | vedclass

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Question

(b)

Let take $g=10 \,m / s ^2$

For water to enter the sphere, pressure required is $=ho g h$

$=1 	imes 10 	imes \frac{40}{100} 	imes 100

Vedclass · Accepted Answer

$0.07$

Vedclass · Answer

(b)

Let take $g=10 \,m / s ^2$

For water to enter the sphere, pressure required is $=ho g h$

$=1 	imes 10 	imes \frac{40}{100} 	imes 1000 \quad\left(ho=1000 \,kg / m ^3ight)$

$=4000 \,\frac{ N }{ m ^2}=	ext { excess pressure }$

Let the hole have radius $=R$

Excess pressure $=\frac{2 T}{R}$    [One surface air, one surface water]

$\Rightarrow 4000=\frac{2 	imes 0.07}{R}$

$\Rightarrow 2 R=0.07 	imes 10^{-3} \,m$

$\Rightarrow d=0.07 \,mm$

There is small hole in a hollow sphere. The water enters in it when it is taken to a depth of $40 \,cm$ under water. The surface tension of water is $0.07 \,N / m$. The diameter of hole is .......... $mm$

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