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A test tube of radius 1 0cm is loaded to 8 8g I... - JAMB Physics 2003 Question

A test tube of radius 1.0cm is loaded to 8.8g. If is placed upright in water, find the depth to which it would sink
A
2.8cm
B
5.2cm
C
25.5cm
D
28.0cm
correct option: a

Pressure = F/A = pgh, where p = density, h = depth and g = 10ms-2

But F = P x A

∴ Force exerted by the load test tube = cross-sectional Area x Pressure

i.e F = A x pgh

∴ h = F_
A x pg

= mg
A x P x g

= 8.8 x 10-3 x 10
πr2 x p x g

= _8.8 x 10-3 x 10
π x (1.0-2)2 x 1000 x 10

= 0.028m or 2.8m

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