Mechanical Properties of Solids

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Question : 16
Total: 21
How much should the pressure on a litre of water be changed to compress it by 0.10%.
Solution:  
Here, V=1 litre, ΔV=0.10% of V=
0.10
100
×1
=
1
1000
litre
Let ΔP = Change in pressure required for compression of 1 litre of water.
B = bulk modulus of water =2.2×109Nm2
Using the relation, B=
ΔP
(
ΔV
V
)
,
we get
ΔP=B
ΔV
V

=2.2×109×
(
1
1000
)
1

=2.2×1091000
=2.2×106Nm2
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