The compressibility of water is 5×10−10m2/N and subjected to a pressure of 15 MPa. The fractional decrease in volume will be
5×10−3
1.25×10−3
2.5×10−3
7.5×10−3
A
1.25×10−3
B
7.5×10−3
C
5×10−3
D
2.5×10−3
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Solution
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Given,
β=1K=5×10−10m2/N
ΔP=15MPa=15×106Pa
Bulk modulus,
K=−ΔPεV
where, εV= volumetric strain
β=−εVΔP
εV=−βΔP=−5×10−10×15×106
εV=7.5×10−3
The correct option is A.
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