A glass capillary tube of inner diameter 0.28 mm

Asked by admin @ 16/08/2021 in Physics viewed by 300 People

is lowered vertically into water in a vessel. Thepressure to be applied on the water in the capillarytube so that water level in the tubeis same as that in the vessel is (surfacetension of water = 0.07 N/m and atmosphericpressure = 105 N/m2).(1) 103(2) 99 ~ 103(3) 100 x 103(4) 101 x 103

Answered by admin @ 16/08/2021

The
pressure to be applied on the water in the capillary tube so that water level in the tube is same as that in the vessel is 101 × 10³ Pascal.

Given-

Inner diameter of glass capillary tube = 0.28 mm
Surface tension of water = 0.07 N/m
Atmospheric pressure = 10⁵ N/m²

To cancel out excess pressure we know that

P₀ + P excess = P₀ + 2T/R

Here 2T/R is the excess pressure.

So, P = 10⁵ + 2×0.07/0.14 ×10⁻³

P = 10⁵ + 10³

P = 10⁵ + 0.01 × 10⁵

P = 1.01 × 10⁵

P = 101 × 10³ Pa

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