A、因为物体A漂浮在甲容器中,所以F浮=GA,即ρ1V排g=ρ1
Vg=ρVg,由此可得ρ1:ρA=4:3,故A错误;3 4
B、FB浮=ρ2gVB=
=
ρ2gGB
ρBg
=
GBρ2
ρB
,FA浮:FB浮=GA:32GB
45
=32GB
45
,不能确定具体比值关系,故B错误;3VA
8VB
C、GA=ρAgVA,VA=
,p1=ρ1gh,GA
ρAg
p2=ρ2gh,
p1:p2=ρ1:ρ2=3:2,故C错误;
D、∵ρ1:ρ2=3:2,ρA:ρ1=3:4,ρA:ρB=4:5,
∴ρ2:ρB=
:1.25ρA=2ρ1
3
×2 3
:1.25=32:45,4 3
GB=ρBgVB,VB=
,FB浮=ρ2gVB=GB
ρBg
=
ρ2gGB
ρBg
=
GBρ2
ρB
,32GB
45
F=GB-F B浮=GB-
=32GB
45
,13GB
45
=F GB
,故D正确.13 45
故选D.
A、因为物体A漂浮在甲容器中,所以F浮=GA,即ρ1V排g=ρ1
3
4
Vg=ρVg,由此可得ρ1:ρA=4:3,故A错误;
B、FB浮=ρ2gVB=
ρ2gGB
ρBg
=
GBρ2
ρB
=
32GB
45
,FA浮:FB浮=GA:
32GB
45
=
3VA
8VB
,不能确定具体比值关系,故B错误;
C、GA=ρAgVA,VA=
GA
ρAg
,p1=ρ1gh,
p2=ρ2gh,
p1:p2=ρ1:ρ2=3:2,故C错误;
D、∵ρ1:ρ2=3:2,ρA:ρ1=3:4,ρA:ρB=4:5,
∴ρ2:ρB=
2ρ1
3
:1.25ρA=
2
3
×
4
3
:1.25=32:45,
GB=ρBgVB,VB=
GB
ρBg
,FB浮=ρ2gVB=
ρ2gGB
ρBg
=
GBρ2
ρB
=
32GB
45
,
F=GB-F B浮=GB-
32GB
45
=
13GB
45
,
F
GB
=
13
45
,故D正确.
故选D.
D.F∶GB=13∶45