Boyant force on an immersed body.

[Any Help]

Homework Statement

The gauge pressure pg versus depth h is plotted in the figure for three liquids. For a rigid plastic bead fully submerged in each liquid, rank the plots according to the magnitude of the buoyant force on the bead, greatest first.

http://file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image001.jpg figure here: http://www.transtutors.com/questions/the-gauge-pressure-p-g-versus-depth-h-is-plotted-in-fig-14-28-for-three-liquids-for--719045.htm

Homework Equations

Buoyant force= Vgd + pgA------ (1)
p=pg + d.g.h ---- (2) p=pressure d=density of water g=gravity h=hight from surface

The Attempt at a Solution

then as h and pg increases buoyant force increase according to equation 1. Then the highest slope represents the highest boyant. a>b>c
Is my answer correct?

 

[Chestermiller]

Homework Statement

The gauge pressure pg versus depth h is plotted in the figure for three liquids. For a rigid plastic bead fully submerged in each liquid, rank the plots according to the magnitude of the buoyant force on the bead, greatest first.

http://file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image001.jpg figure here: http://www.transtutors.com/questions/the-gauge-pressure-p-g-versus-depth-h-is-plotted-in-fig-14-28-for-three-liquids-for--719045.htm

Homework Equations

Buoyant force= Vgd + pgA------ (1)
p=pg + d.g.h ---- (2) p=pressure d=density of water g=gravity h=hight from surface

The Attempt at a Solution

then as h and pg increases buoyant force increase according to equation 1. Then the highest slope represents the highest boyant. a>b>c
Is my answer correct?

Yes.