A piece of metal weighs 40 g in air. When immersed in a liquid of specific gravity 2.0 at 28° C it weighs 32g. When the temperature of the liquid is raised to 32° C the metal pipe weighs 28 gm.If the specific gravity of liquid at 32° C is 1.5,then the linear expansion of the metal will be
1)1/48
2)1/12
3)1/32
4)1/16
Answers
Answered by
0
Explanation:
Correct option is
A
2.23×10
−5
/
0
C
For 27
o
C , Loss in weight of the metal = weight of liquid displaced =46−30=16gm
Volume of metal at 27
o
C is V
1
=
1.24
16
=12.903cm
3
similarly , volume of metal at 42
o
C is V
1
=
1.20
46−30.5
=12.917cm
3
Volume expansion coefficient of the metal is γ=
V
1
(θ
2
−θ
1
)
V
2
−V
1
=
12.903(42−27)
12.927−12.903
=7.23×10
−5
/
o
C
The coefficient of linear expansion of metal is α=
3
γ
=2.4×10
−5
/
o
C
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