Will the Barometer level change?

[Kyoma]

Homework Statement

The mercury level in the barometer at sea level is recorded to be 76cm.

So, I was wondering if you use a thinner tube. Will the mercury level change?

At sea level, the pressure is 1 atm and thus according to the equation, p = hpg, whereby pressure is equal to the height of the mercury multiply by its density multiply by gravitational field strength, a thinner tube does not affect the mercury level and thus, it will not change.

But, I came across something called capillary action, whereby the height of the mercury level is affected by the radius of the tube.

So, will the mercury level change?

 

[1994Bhaskar]

In hpg we neglect the effects of surface tension of mercury.so practically the height will change.