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Explanation:
Given, mass of place of aluminium, m=1kg;
density of aluminium, ρ
s
=2700kg/m
3
;
density of water, ρ
w
=1000kgm
−3
As shown in figure, we have to find tension in the string in each case.
(a) When the aluminium piece is suspended in air
Tension, T=mg [Ref fig. (a)]
or T=1×10=10N
(b) When the aluminium piece is completely immersed in water,
mg=T+F
B
[Ref fig.(b)]
Where, F
B
= buoyant force acting on aluminium
T= tension in the string
∴T=mg−F
B
′
=1×10(1−
2700
1000
)
=6.296N.
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