A tube of mercury barometer is 4 5mm in diameter What error does surface tension introduce in its reading Given - Physics - Mechanical Properties Of Fluids

Question

A tube of mercury barometer is 4 5mm in diameter What error does
surface tension introduce in its reading?Given that angle of
contact between mercury and glass is 130 degree and surface tension
is 540 dyne cm-1 Take density of mercury is 13 6g cm-3 and
g=980cms-2

Vaibhav Tiwari · Accepted Answer

Dear Student,

radius, r=2 25 mm=0
225 cmerror introduced in the observation=hThe rise in capillary tube is,h=2Tcosθrρgh=2×540×cos130°0
225×13 6×980h=1080×-0 642998 8=-0
23 cmThe error introduced in the observation is -0
23 cmHence, 0
23 cm should be added to the height of mercury measurement
Regards

A tube of mercury barometer is 4.5mm in diameter.What error does surface tension introduce in its reading?Given that angle of contact between mercury and glass is 130 degree and surface tension is 540 dyne cm-1.Take density of mercury is 13.6g cm-3 and g=980cms-2