Question

Q.14
When water is filled carefully in a glass, one can fill it to a height h above the rim of the glass due to
the surface tension of water. To calculate h just before water starts flowing, model the shape of the
water above the rim as a dise of thickness h having semicircular edges, as shown schematically in the
ligure. When the pressure of water at the bottom of this disc exceeds what can be withstood due to
the surface tension, the water surface breaks near the ring and water starts flowing from there. If the
density of water. its surface tension and the acceleration due to gravity are 10 kg m-3, 0.07 Nm
and 10 ms. respectively, the value of h (in mm) is
​

Answer 1

Answer:

(S2R)=(

2

0+ρgh

)h2R

4S=ρgh

2

h=

ρg

4S

h=

10

3

×10

2×0.07

=

14

×10

−3

=3.74

solution

Explanation:

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